complete data analysis plus research methodology draft
TRANSCRIPT
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ANNEXURE 3
The influence of price of petrol on foreign exchange earnings from hospitality industry is given
by the regression equation y= 11497.65 + 691.7753x. The hypothesis tested with the regression
equation is as follows.
H0: b = 0 (no influence of petrol prices on foreign exchange earnings from hospitality industry)
Ha: b 0(influence of petrol prices on foreign exchange earnings from hospitality industry)
The R2 value is 0.275919. This means that 27.59% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the price of petrol. As this is
very small therefore the regression outcomes cannot be relied upon. Furthermore, the adjusted
R2 (0.185) is very small and significantly different and less than the R2. This also means that the
sample size taken into consideration is inadequate to draw any conclusion about the true relationbetween the chosen variables. The p value is 0.118956; this value is more than 0.05. This value
of p is the level of significance at which this hypothesis can be rejected. Here the null hypothesis
is accepted and that means that price of petrol has no significant influence on the foreign
exchange earnings of the hospitality industry (p value=0.118956).
ANNEXURE 5
The influence of price of diesel on foreign exchange earnings from hospitality industry is given
by the regression equation y= -7338.74+ 1556.257x. The hypothesis tested with the regression
equation is as follows.
H0: b = 0 (no influence of diesel prices on foreign exchange earnings from hospitality industry)
Ha: b 0(influence ofdiesel prices on foreign exchange earnings from hospitality industry)
The R2 value is 0.402614. This means that 40.26% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the price of diesel. As this isvery small therefore the regression outcomes cannot be relied upon. Furthermore, the adjusted
R2 (0.32794) is small and significantly different and less than the R2. This also means that the
sample size taken into consideration is inadequate to draw any conclusion about the true relation
between the chosen variables. The p value is 0.402614; this value is more than 0.05. This value of
p is the level of significance at which this hypothesis can be rejected. Here the null hypothesis is
accepted and that means that that price of diesel has no significant influence on the foreign
exchange earnings of the hospitality industry (p-value = 0.402614).
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ANNEXURE 7
The influence of price of crude oil on foreign exchange earnings from hospitality industry is
given by the regression equation y= 23249.23+ 292.3596x. The hypothesis tested with the
regression equation is as follows.
H0: b = 0 (no influence of crude oil prices on foreign exchange earnings from hospitalityindustry)
Ha: b 0(influence ofcrude oil prices on foreign exchange earnings from hospitality industry)
The R2 value is 0.328206. This means that 32.82% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the price of crude oil. As
this is very small therefore the regression outcomes cannot be relied upon. Furthermore, the
adjusted R2 (0.244231) is small and significantly different and less than the R2. This also meansthat the sample size taken into consideration is inadequate to draw any conclusion about the true
relation between the chosen variables. The p value is 0.083439; this value is more than 0.05. This
value of p is the level of significance at which this hypothesis can be rejected. Here the null
hypothesis is accepted and that means that price of crude oil has no significant influence on
the foreign exchange earnings of the hospitality industry (p-value=0.083439).
ANNEXURE 9
The influence of price of domestic LPG on foreign exchange earnings from hospitality industry
is given by the regression equation y= -12867.8+ 186.2685x. The hypothesis tested with the
regression equation is as follows.
H0: b = 0 (no influence of domestic LPG prices on foreign exchange earnings from hospitality
industry)
Ha: b 0(influence of domestic LPG prices on foreign exchange earnings from hospitality
industry)
The R2 value is 0.333577. This means that 33.35% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the price of domestic LPG.
As this is very small therefore the regression outcomes cannot be relied upon. Furthermore, the
adjusted R2 (0.250274) is small and significantly different and less than the R2. This also means
that the sample size taken into consideration is inadequate to draw any conclusion about the true
relation between the chosen variables. The p value is 0.080379; this value is more than 0.05. This
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value of p is the level of significance at which this hypothesis can be rejected. Here the null
hypothesis is accepted and that means that price of domestic LPG has no significant influence
on the foreign exchange earnings of the hospitality industry (p value=0.080379).
ANNEXURE 11
The influence of exchange rate(USD/RS) on foreign exchange earnings from hospitality industry
is given by the regression equation y= 92854.80044-1050.339779x. The hypothesis tested with the
regression equation is as follows.
H0: b = 0 (no influence of exchange rate (usd/rs) on foreign exchange earnings from hospitality
industry)
Ha: b 0(influence of exchange rate (usd/rs on foreign exchange earnings from hospitality
industry)
The R2 value is 0.059835479. This means that 5.98% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the exchange rate of
USD/RS. As this is very small therefore the regression outcomes cannot be relied upon.
Furthermore, the adjusted R2 (-0.057685086) is very small and significantly different and less
than the R2. This also means that the sample size taken into consideration is inadequate to draw
any conclusion about the true relation between the chosen variables. The p value is 0.495794;
this value is more than 0.05. This value of p is the level of significance at which this hypothesis
can be rejected. Here the null hypothesis is accepted and that means that exchange rate usd/rs
has no significant influence on the foreign exchange earnings of the hospitality industry (p-
value=0.495794).
ANNEXURE 13
The influence of population of India on foreign exchange earnings from hospitality industry is
given by the regression equation y= -196700 + 212.602x. The hypothesis tested with the
regression equation is as follows.
H0: b = 0 (no influence of population of India on foreign exchange earnings from hospitality
industry)
Ha: b 0(influence of population of India on foreign exchange earnings from hospitality
industry)
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The R2 value is 0.454218. This means that 45.42% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the population of India. As
this is very small therefore the regression outcomes cannot be relied upon. Furthermore, the
adjusted R2 (0.385995) is very small and significantly different and less than the R2. This also
means that the sample size taken into consideration is inadequate to draw any conclusion about
the true relation between the chosen variables. The p value is 0.385995; this value is more than
0.05. This value of p is the level of significance at which this hypothesis can be rejected. Here
the null hypothesis is accepted and that means that population of India has no significant
influence on the foreign exchange earnings of the hospitality industry (p-value=0.385995).
ANNEXURE 15
The influence of exchange rate (SDR/RS) on foreign exchange earnings from hospitality industry
is given by the regression equation y= 8157.324 + 527.704x. The hypothesis tested with the
regression equation is as follows.
H0: b = 0 (no influence of exchange rate of special drawing rights on foreign exchange earnings
from hospitality industry)
Ha: b 0(influence of exchange rate of special drawing rights on foreign exchange earnings
from hospitality industry)
The R2 value is 0.029198. This means that 2.91% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the rate of special drawing
rights. As this is very small therefore the regression outcomes cannot be relied upon.
Furthermore, the adjusted R2 (-0.09215) is very small and significantly different and less than the
R2. This also means that the sample size taken into consideration is inadequate to draw any
conclusion about the true relation between the chosen variables. The p value is 0.636937; this
value is more than 0.05. This value of p is the level of significance at which this hypothesis canbe rejected. Here the null hypothesis is accepted and that means that exchange rate of special
drawing rights has no significant influence on the foreign exchange earnings of the
hospitality industry (P-VALUE=0.636937).
ANNEXURE 17
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The influence of exchange rate (POUND STERLING/RS) on foreign exchange earnings from
hospitality industry is given by the regression equation y= 150245.6 -1343.61x. The hypothesis
tested with the regression equation is as follows.
H0: b = 0 (no influence of exchange rate of POUND STERLING/RUPEE on foreign exchange
earnings from hospitality industry)
Ha: b 0(influence of exchange rate of POUND STERLING on foreign exchange earnings from
hospitality industry)
The R2 value is 0.274282. This means that 27.42% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the rate pound sterling. As
this is very small therefore the regression outcomes cannot be relied upon. Furthermore, the
adjusted R2 (0.183567) is very small and significantly different and less than the R2. This also
means that the sample size taken into consideration is inadequate to draw any conclusion about
the true relation between the chosen variables. The p value is 0.120256; this value is more than
0.05. This value of p is the level of significance at which this hypothesis can be rejected. Here
the null hypothesis is accepted and that means that exchange rate of pound sterling has no
significant influence on the foreign exchange earnings of the hospitality industry (p
value=0.120256).
ANNEXURE 19
The influence ofGDP GROWTH RATE on foreign exchange earnings from hospitality industry is
given by the regression equation y= 28814.84 + 2016.91x. The hypothesis tested with the
regression equation is as follows.
H0: b = 0 (no influence of GDP growth rate of India on foreign exchange earnings from
hospitality industry)
Ha: b 0(influence ofGDP growth rate of India on foreign exchange earnings from hospitality
industry)
The R2 value is 0.096838. This means that 9.68% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the GDP growth rate of
India. As this is very small therefore the regression outcomes cannot be relied upon.
Furthermore, the adjusted R2 (-0.01606) is very small and significantly different and less than the
R2. This also means that the sample size taken into consideration is inadequate to draw any
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conclusion about the true relation between the chosen variables. The p value is 0.381454; this
value is more than 0.05. This value of p is the level of significance at which this hypothesis can
be rejected. Here the null hypothesis is accepted and that means that GDP growth rate of India
has no significant influence on the foreign exchange earnings of the hospitality industry (p
value=0.381454).
ANNEXURE 21
The influence ofTOURIST ARRIVAL TO INDIA on foreign exchange earnings from hospitality
industry is given by the regression equation y= -19355.9+ 13677.36x. The hypothesis tested with
the regression equation is as follows.
H0: b = 0 (no influence of tourist arrival to India on foreign exchange earnings from hospitality
industry)
Ha: b 0(influence of tourist arrival to India on foreign exchange earnings from hospitality
industry)
The R2 value is 0.938666. This means that 93.86% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the tourist arrival to India.
Furthermore, the adjusted R2 (0.928444) is not small and significantly not different than the R2.
This also means that the sample size taken into consideration is adequate to draw any conclusion
about the true relation between the chosen variables. The p value is 0.0000738; this value is
much less than 0.05. This value of p is the level of significance at which this hypothesis can be
rejected. Here the null hypothesis is rejected and that means that tourist arrival to India has
quite a significant influence on the foreign exchange earnings of the hospitality industry (p
value=0.0000738).
ANNEXURE 23
The influence ofCAPITAL OUTLAY FOR PROMOTION OF ECO TOURISM IN INDIA on foreign
exchange earnings from hospitality industry is given by the regression equation y= 30450.49+
284.3081x. The hypothesis tested with the regression equation is as follows.
H0: b = 0 (no influence of CAPITAL OUTLAY FOR PROMOTION OF ECO TOURISM IN
INDIA on foreign exchange earnings from hospitality industry)
Ha: b 0(influence of CAPITAL OUTLAY FOR PROMOTION OF ECO TOURISM IN
INDIA on foreign exchange earnings from hospitality industry)
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The R2 value is 0.142948. This means that 14.29% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the tourist arrival to India.
As this is very small therefore the regression outcomes cannot be relied upon. Furthermore, the
adjusted R2 (0.035816) is very small and significantly different and less than the R2. This also
means that the sample size taken into consideration is inadequate to draw any conclusion about
the true relation between the chosen variables. The p value is 0.281372; this value is more than
0.05. This value of p is the level of significance at which this hypothesis can be rejected. Here
the null hypothesis is accepted and that means that CAPITAL OUTLAY FOR PROMOTION OF
ECO TOURISM IN INDIAhas no significant influence on the foreign exchange earnings of
the hospitality industry (p value=0.281372).
ANNEXURE 25
The influence of expenditure for promotion on eco tourism on foreign exchange earnings from
hospitality industry is given by the regression equation y= 17628.47+787.8395x. The hypothesis
tested with the regression equation is as follows.
H0: b = 0 (no influence of expenditure for promotion on eco tourism on foreign exchange
earnings from hospitality industry)
Ha: b 0(influence ofexpenditure for promotion on eco tourism on foreign exchange earnings
from hospitality industry)
The R2 value is 0.9338. This means that 93.38% of the variation in the foreign exchange earnings
in hospitality industry is being explained by the changes in the expenditure for promotion on eco
tourism. The adjusted R2 (0.925525) is not small and is not significantly different from the R2.
This also means that the sample size taken into consideration is adequate to draw conclusions
about the true relation between the chosen variables. The p value is 5.4E-06; this value is less
than 0.05. This value of p is the level of significance at which this hypothesis can be rejected.
Here the null hypothesis is rejected and that means that expenditure for promotion on eco
tourism has a very significant influence on the foreign exchange earnings of the hospitality
industry. (p value= 5.4E-06)
ANNEXURE 27
The influence of % SHARE OF INDIA IN WORLD TOURIST ARRIVAL on foreign exchange
earnings from hospitality industry is given by the regression equation y= 40712.97 + 1771.802x.
The hypothesis tested with the regression equation is as follows.
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H0: b = 0 (no influence of SHARE OF INDIA IN WORLD TOURIST ARRIVAL on foreign
exchange earnings from hospitality industry)
Ha: b 0(influence of SHARE OF INDIA IN WORLD TOURIST ARRIVAL on foreign
exchange earnings from hospitality industry)
The R2 value is 0.116309. This means that 11.63% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the tourist arrival to India.
As this is very small therefore the regression outcomes cannot be relied upon. Furthermore, the
adjusted R2 (0.005847) is very small and significantly different and less than the R2. This also
means that the sample size taken into consideration is inadequate to draw any conclusion about
the true relation between the chosen variables. The p value is 0.334856; this value is more than
0.05. This value of p is the level of significance at which this hypothesis can be rejected. Here
the null hypothesis is accepted and that means that SHARE OF INDIA IN WORLD TOURIST
ARRIVALhas no significant influence on the foreign exchange earnings of the hospitality
industry. (p value = 0.334856)
ANNEXURE 29
The influence ofWORLD TOURIST ARRIVALS on foreign exchange earnings from hospitality
industry is given by the regression equation y= -95034.5+ 162.8583x. The hypothesis tested with
the regression equation is as follows.
H0: b = 0 (no influence of WORLD TOURIST ARRIVALS on foreign exchange earnings from
hospitality industry)
Ha: b 0(influence of WORLD TOURIST ARRIVALS on foreign exchange earnings from
hospitality industry)
The R2 value is 0.889431. This means that 88.94% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the tourist arrival to India.
therefore the regression outcomes cannot be relied upon. Furthermore, the adjusted R2 (0.871003)
is not significantly different than the R2. This also means that the sample size taken into
consideration is adequate to draw any conclusion about the true relation between the chosen
variables. The p value is 0.000441; this value is less than 0.05. This value of p is the level of
significance at which this hypothesis can be rejected. Here the null hypothesis is rejected and that
means thatWORLD TOURIST ARRIVALS has a significant influence on the foreign
exchange earnings of the hospitality industry. (p value= 0.000441)
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ANNEXURE 31
The influence ofdomestic tourist visits on foreign exchange earnings from hospitality industry is
given by the regression equation y= -6760.424086+ 9.67752E-05x. The hypothesis tested with the
regression equation is as follows.
H0: b = 0 (no influence of domestic tourist visits on foreign exchange earnings from hospitality
industry)
Ha: b 0(influence of domestic tourist visits on foreign exchange earnings from hospitality
industry)
The R2 value is 0.980558775. This means that 98.05% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the tourist arrival to India..
Furthermore, the adjusted R2 (0.977318571) is not significantly different than the R2. This also
means that the sample size taken into consideration is adequate to draw any conclusion about the
true relation between the chosen variables. The p value is 2.3132E-06; this value is less than 0.05.
This value of p is the level of significance at which this hypothesis can be rejected. Here the null
hypothesis is rejected and that means that domestic tourist visits have a significant influence on
the foreign exchange earnings of the hospitality industry (p-value= 2.3132E-06).
ANNEXURE 33
The influence ofcement prices on foreign exchange earnings from hospitality industry is given by
the regression equation y= 211.5338 + 216.0725x. The hypothesis tested with the regression
equation is as follows.
H0: b = 0 (no influence of cement prices on foreign exchange earnings from hospitality industry)
Ha: b 0(influence ofcement prices on foreign exchange earnings from hospitality industry)
The R2 value is 0.414436. This means that 41.44% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the prices of cement.
Therefore, the regression outcomes cannot be relied upon. Furthermore, the adjusted R2
(0.34124) is different than the R2. This also means that the sample size taken into consideration is
adequate to draw any conclusion about the true relation between the chosen variables. The p
value is 0.04458; this value is less than 0.05. This value of p is the level of significance at which
this hypothesis can be rejected. Here the null hypothesis is rejected and that means thatprices of
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cement have a significant influence on the foreign exchange earnings of the hospitality
industry(p-value= 0.04458).
ANNEXURE 35
The influence of assistance sanctioned by TFCI on foreign exchange earnings from hospitality
industry is given by the regression equation y= 30874.31+ 0.499129. The hypothesis tested with
the regression equation is as follows.
H0: b = 0 (no influence of assistance sanctioned by TFCI on foreign exchange earnings from
hospitality industry)
Ha: b 0(influence of assistance sanctioned by TFCI on foreign exchange earnings from
hospitality industry)
The R2 value is 0.700804. This means that 70.08% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the assistance sanctioned by
TFCI. Therefore, the regression outcomes cannot be relied upon. Furthermore, the adjusted R2
(0.650938) is different than the R2. This also means that the sample size taken into consideration
is inadequate to draw any conclusion about the true relation between the chosen variables. The p
value is 0.009523; this value is less than 0.05. This value of p is the level of significance at which
this hypothesis can be rejected. Here the null hypothesis is rejected and that means that assistance
sanctioned by TFCI has a significant influence on the foreign exchange earnings of the
hospitality industry (p-value= 0.009523).
ANNEXURE 37
The influence of assistance disbursed by TFCI on foreign exchange earnings from hospitality
industry is given by the regression equation y= 30120.77+ 1.00949. The hypothesis tested with the
regression equation is as follows.
H0: b = 0 (no influence of assistance disbursed by TFCI on foreign exchange earnings from
hospitality industry)
Ha: b 0(influence of assistance disbursed by TFCI on foreign exchange earnings from
hospitality industry)
The R2 value is 0.668586. This means that 66.85% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the assistance sanctioned by
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TFCI. Therefore, the regression outcomes cannot be relied upon. Furthermore, the adjusted R2
(0.61335) is not very different than the R2. This also means that the sample size taken into
consideration is adequate to draw conclusion about the true relation between the chosen
variables. The p value is 0.013157; this value is less than 0.05. This value of p is the level of
significance at which this hypothesis can be rejected. Here the null hypothesis is rejected and that
means that assistance disbursed by TFCI has a significant influence on the foreign exchange
earnings of the hospitality industry(p-value= 0.013157).
ANNEXURE 39
The influence of Number OF PROJECTS SANCTIONED BY MTI on foreign exchange earnings
from hospitality industry is given by the regression equation y= 20731.93 + 161.0817x. The
hypothesis tested with the regression equation is as follows.
H0: b = 0 (no influence of Number OF PROJECTS SANCTIONED BY MTI on foreign
exchange earnings from hospitality industry)
Ha: b 0(influence ofNumber OF PROJECTS SANCTIONED BY MTI on foreign exchange
earnings from hospitality industry)
The R2 value is 0.409282. This means that 40.92% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the Number OF PROJECTS
SANCTIONED BY MTI. As this is very small therefore the regression outcomes cannot be relied
upon. Furthermore, the adjusted R2 (0.212376) is very small and significantly different and less
than the R2. This also means that the sample size taken into consideration is inadequate to draw
any conclusion about the true relation between the chosen variables. The p value is 0.245048; this
value is more than 0.05. This value of p is the level of significance at which this hypothesis can
be rejected. Here the null hypothesis is accepted and that means that Number OF PROJECTS
SANCTIONED BY MTI has no significant influence on the foreign exchange earnings of the
hospitality industry (p-value= 0.245048).
ANNEXURE 41
The influence ofamount SANCTIONED BY MTI on foreign exchange earnings from hospitality
industry is given by the regression equation y= 19903.39+ 49.85517x. The hypothesis tested with
the regression equation is as follows.
H0: b = 0 (no influence of amount SANCTIONED BY MTI on foreign exchange earnings from
hospitality industry)
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Ha: b 0(influence of amount SANCTIONED BY MTI on foreign exchange earnings from
hospitality industry)
The R2 value is 0.289168. This means that 28.91% of the variation in the foreign exchange
earnings in hospitality industry is being explained by the changes in the Number OF PROJECTS
SANCTIONED BY MTI. As this is very small therefore the regression outcomes cannot be relied
upon. Furthermore, the adjusted R2 (0.052223) is very small and significantly different and less
than the R2. This also means that the sample size taken into consideration is inadequate to draw
any conclusion about the true relation between the chosen variables. The p value is 0.349926; this
value is more than 0.05. This value of p is the level of significance at which this hypothesis can
be rejected. Here the null hypothesis is accepted and that means that amount SANCTIONED BY
MTI has no significant influence on the foreign exchange earnings of the hospitality
industry(p-value= 0.349926).
ANNEXURE 43
The influence of price of petrol on annual growth rate of GDP at factor cost of hospitality
industry is given by the regression equation y=15.40605 - 0.10324x. The hypothesis tested with
the regression equation is as follows.
H0: b = 0 (no influence of petrol prices on annual growth rate of GDP at factor cost of hospitality
industry)
Ha: b 0(influence of petrol prices on annual growth rate of GDP at factor cost of hospitality
industry)
The R2 value is 0.044185. This means that 4.41% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in the price of
petrol. As this is very small therefore the regression outcomes cannot be relied upon.
Furthermore, the adjusted R2 (-0.07529) is very small and significantly different and less than
the R2. This also means that the sample size taken into consideration is inadequate to draw any
conclusion about the true relation between the chosen variables. The p value is 0.559967; this
value is more than 0.05. This value of p is the level of significance at which this hypothesis can
be rejected. Here the null hypothesis is accepted and that means that price of petrol has no
significant influence on the annual growth rate of GDP at factor cost of hospitality industry
(p-value= 0.559967).
ANNEXURE 44
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The influence of price of diesel on annual growth rate of GDP at factor cost of hospitality
industry is given by the regression equation y=18.96734 - 0.25477x. The hypothesis tested with
the regression equation is as follows.
H0: b = 0 (no influence of diesel prices on annual growth rate of GDP at factor cost of hospitality
industry)
Ha: b 0(influence of diesel prices on annual growth rate of GDP at factor cost of hospitality
industry)
The R2 value is 0.077583. This means that 7.75% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in the price of
diesel. As this is very small therefore the regression outcomes cannot be relied upon.
Furthermore, the adjusted R2 (-0.03772) is very small and significantly different and less than
the R2. This also means that the sample size taken into consideration is inadequate to draw any
conclusion about the true relation between the chosen variables. The p value is 0.435811; this
value is more than 0.05. This value of p is the level of significance at which this hypothesis can
be rejected. Here the null hypothesis is accepted and that means that price of diesel has no
significant influence on the annual growth rate of GDP at factor cost of hospitality
industry. (p-value= 0.435811)
ANNEXURE 45
The influence of price of crude oil on annual growth rate of GDP at factor cost of hospitality
industry is given by the regression equation y=12.08683 -0.0221x. The hypothesis tested with
the regression equation is as follows.
H0: b = 0 (no influence of crude oil prices on annual growth rate of GDP at factor cost of
hospitality industry)
Ha: b 0(influence of crude oil prices on annual growth rate of GDP at factor cost of hospitality
industry)
The R2 value is 0.013484. This means that 1.34% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in the price of
crude oil. As this is very small therefore the regression outcomes cannot be relied upon.
Furthermore, the adjusted R2 (-0.10983) is very small and significantly different and less than
the R2. This also means that the sample size taken into consideration is inadequate to draw any
conclusion about the true relation between the chosen variables. The p value is 0.749381; this
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value is more than 0.05. This value of p is the level of significance at which this hypothesis can
be rejected. Here the null hypothesis is accepted and that means that price of crude oil has no
significant influence on the annual growth rate of GDP at factor cost of hospitality industry
(p-value= 0.749381).
ANNEXURE 46
The influence of price of domestic LPG on annual growth rate of GDP at factor cost of
hospitality industry is given by the regression equation y=18.79772 - 0.027x. The hypothesis
tested with the regression equation is as follows.
H0: b = 0 (no influence of domestic LPG prices on annual growth rate of GDP at factor cost of
hospitality industry)
Ha: b 0(influence of domestic LPG prices on annual growth rate of GDP at factor cost of
hospitality industry)
The R2 value is 0.050411. This means that 5.04% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in the price of
domestic LPG. As this is very small therefore the regression outcomes cannot be relied upon.
Furthermore, the adjusted R2 (-0.06829) is very small and significantly different and less than the
R2. This also means that the sample size taken into consideration is inadequate to draw any
conclusion about the true relation between the chosen variables. The p value is 0.532874; this
value is more than 0.05. This value of p is the level of significance at which this hypothesis can
be rejected. Here the null hypothesis is accepted and that means that price of domestic LPG has
no significant influence on the annual growth rate of GDP at factor cost of hospitality
industry (p-value= 0.532874).
ANNEXURE 47
The influence of EXCHANGE RATE USD/RS on annual growth rate of GDP at factor cost of
hospitality industry is given by the regression equation y=41.72358-0.67875x. The hypothesis
tested with the regression equation is as follows.
H0: b = 0 (no influence of EXCHANGE RATE USD/RS on annual growth rate of GDP at factor
cost of hospitality industry)
Ha: b 0(influence ofEXCHANGE RATE USD/RS on annual growth rate of GDP at factor cost
of hospitality industry)
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The R2 value is 0.179667. This means that 17.96% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in the
EXCHANGE RATE USD/RS. As this is very small therefore the regression outcomes cannot be
relied upon. Furthermore, the adjusted R2 (0.077126) is very small and significantly different and
less than the R2. This also means that the sample size taken into consideration is inadequate to
draw any conclusion about the true relation between the chosen variables. The p value is
0.222181; this value is more than 0.05. This value of p is the level of significance at which this
hypothesis can be rejected. Here the null hypothesis is accepted and that means that EXCHANGE
RATE USD/RS has no significant influence on the annual growth rate of GDP at factor cost
of hospitality industry (p-value= 0.222181).
ANNEXURE 48
The influence ofpopulation of India on annual growth rate of GDP at factor cost of hospitality
industry is given by the regression equation y=72.37894-0.05456x. The hypothesis tested with the
regression equation is as follows.
H0: b = 0 (no influence of population of India on annual growth rate of GDP at factor cost of
hospitality industry)
Ha: b 0(influence of population of India on annual growth rate of GDP at factor cost of
hospitality industry)
The R2 value is 0.215083. This means that 21.50% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in the population
of India. As this is very small therefore the regression outcomes cannot be relied upon.
Furthermore, the adjusted R2 (0.116968) is very small and significantly different and less than the
R2. This also means that the sample size taken into consideration is inadequate to draw any
conclusion about the true relation between the chosen variables. The p value is 0.176987; this
value is more than 0.05. This value of p is the level of significance at which this hypothesis can
be rejected. Here the null hypothesis is accepted and that means that population of India has no
significant influence on the annual growth rate of GDP at factor cost of hospitality industry
(p-value= 0.176987).
ANNEXURE 49
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The influence ofexchange rate sdr/rs on annual growth rate of GDP at factor cost of hospitality
industry is given by the regression equation y=53.47431-0.62418x. The hypothesis tested with the
regression equation is as follows.
H0: b = 0 (no influence of exchange rate sdr/rs on annual growth rate of GDP at factor cost of
hospitality industry)
Ha: b 0(influence of exchange rate sdr/rs on annual growth rate of GDP at factor cost of
hospitality industry)
The R2 value is 0.293724. This means that 29.37% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in the exchange
rate sdr/rs. As this is very small therefore the regression outcomes cannot be relied upon.
Furthermore, the adjusted R2 (0.20544) is very small and significantly different and less than the
R2. This also means that the sample size taken into consideration is inadequate to draw any
conclusion about the true relation between the chosen variables. The p value is 0.105601; this
value is more than 0.05. This value of p is the level of significance at which this hypothesis can
be rejected. Here the null hypothesis is accepted and that means that exchange rate sdr/rs has no
significant influence on the annual growth rate of GDP at factor cost of hospitality industry
(p-value= 0.105601).
ANNEXURE 50
The influence of exchange rate pound sterling on annual growth rate of GDP at factor cost of
hospitality industry is given by the regression equation y=-46.0437 + 0.718234x. The hypothesis
tested with the regression equation is as follows.
H0: b = 0 (no influence of exchange rate pound sterling on annual growth rate of GDP at factor
cost of hospitality industry)
Ha: b 0(influence ofexchange rate pound sterling on annual growth rate of GDP at factor cost
of hospitality industry)
The R2 value is 0.563557. This means that 56.35% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in the exchange
rate pound sterling. As this is very small therefore the regression outcomes cannot be relied upon.
Furthermore, the adjusted R2 (0.509002) is very small and significantly different and less than the
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R2. This also means that the sample size taken into consideration is inadequate to draw any
conclusion about the true relation between the chosen variables. The p value is 0.012349; this
value is less than 0.05. This value of p is the level of significance at which this hypothesis can be
rejected. Here the null hypothesis is rejected and that means that pound sterling has a significant
influence on the annual growth rate of GDP at factor cost of hospitality industry (p-value=
0.012349).
ANNEXURE 51
The influence ofGDP growth rate on annual growth rate of GDP at factor cost of hospitality
industry is given by the regression equation y=7.045521+ 0.44145x. The hypothesis tested with
the regression equation is as follows.
H0: b = 0 (no influence of GDP growth rate on annual growth rate of GDP at factor cost of
hospitality industry)
Ha: b 0(influence of GDP growth rate on annual growth rate of GDP at factor cost of
hospitality industry)
The R2 value is 0.033357. This means that 3.33% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in the GDP
growth rate. As this is very small therefore the regression outcomes cannot be relied upon.
Furthermore, the adjusted R2 (-0.08747) is very small and significantly different and less than the
R2. This also means that the sample size taken into consideration is inadequate to draw any
conclusion about the true relation between the chosen variables. The p value is 0.613539; this
value is more than 0.05. This value of p is the level of significance at which this hypothesis can
be rejected. Here the null hypothesis is accepted and that means that GDP growth rate has no
significant influence on the annual growth rate of GDP at factor cost of hospitality industry
(p-value= 0.613539).
ANNEXURE 52
The influence ofTOURIST ARRIVAL TO INDIA on annual growth rate of GDP at factor cost of
hospitality industry is given by the regression equation y=24.15739 - 2.99301x. The hypothesis
tested with the regression equation is as follows.
H0: b = 0 (no influence of TOURIST ARRIVAL TO INDIA on annual growth rate of GDP at
factor cost of hospitality industry)
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Ha: b 0(influence ofTOURIST ARRIVAL TO INDIA on annual growth rate of GDP at factor
cost of hospitality industry)
The R2 value is 0.177111. This means that 17.71% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in TOURIST
ARRIVAL TO INDIA. As this is very small therefore the regression outcomes cannot be relied
upon. Furthermore, the adjusted R2 (0.039963) is very small and significantly different and less
than the R2. This also means that the sample size taken into consideration is inadequate to draw
any conclusion about the true relation between the chosen variables. The p value is 0.299134; this
value is more than 0.05. This value of p is the level of significance at which this hypothesis can
be rejected. Here the null hypothesis is accepted and that means that TOURIST ARRIVAL TO
INDIA has no significant influence on the annual growth rate of GDP at factor cost of
hospitality industry (p-value= 0.299134).
ANNEXURE 53
The influence ofCAPITAL OUTLAY FOR PROMOTION OF ECO TOURISM IN INDIA on annual
growth rate of GDP at factor cost of hospitality industry is given by the regression equation
y=9.692648- 0.015926x. The hypothesis tested with the regression equation is as follows.
H0: b = 0 (no influence of CAPITAL OUTLAY FOR PROMOTION OF ECO TOURISM IN
INDIA on annual growth rate of GDP at factor cost of hospitality industry)
Ha: b 0(influence of CAPITAL OUTLAY FOR PROMOTION OF ECO TOURISM IN
INDIA on annual growth rate of GDP at factor cost of hospitality industry)
The R2 value is 0.003225. This means that 0.32% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in CAPITAL
OUTLAY FOR PROMOTION OF ECO TOURISM IN INDIA. As this is very small therefore the regression
outcomes cannot be relied upon. Furthermore, the adjusted R2 (-0.12137) is very small and
significantly different and less than the R2. This also means that the sample size taken intoconsideration is inadequate to draw any conclusion about the true relation between the chosen
variables. The p value is 0.876171; this value is more than 0.05. This value of p is the level of
significance at which this hypothesis can be rejected. Here the null hypothesis is accepted and
that means that CAPITAL OUTLAY FOR PROMOTION OF ECO TOURISM IN INDIA has no significant
influence on the annual growth rate of GDP at factor cost of hospitality industry (p-value=
0.876171).
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ANNEXURE 54
The influence ofEXPENDITURE FOR PROMOTION OF ECO TOURISM on annual growth rate of
GDP at factor cost of hospitality industry is given by the regression equation y=16.06586-
0.16373x. The hypothesis tested with the regression equation is as follows.
H0: b = 0 (no influence of EXPENDITURE FOR PROMOTION OF ECO TOURISM on annual
growth rate of GDP at factor cost of hospitality industry)
Ha: b 0(influence of EXPENDITURE FOR PROMOTION OF ECO TOURISM on annual
growth rate of GDP at factor cost of hospitality industry)
The R2 value is 0.289998. This means that 28.99% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in
EXPENDITURE FOR PROMOTION OF ECO TOURISM. As this is very small therefore the
regression outcomes cannot be relied upon. Furthermore, the adjusted R2 (0.201248) is very
small and significantly different and less than the R2. This also means that the sample size taken
into consideration is inadequate to draw any conclusion about the true relation between the
chosen variables. The p value is 0.10828; this value is more than 0.05. This value of p is the level
of significance at which this hypothesis can be rejected. Here the null hypothesis is accepted and
that means that EXPENDITURE FOR PROMOTION OF ECO TOURISM has no significant
influence on the annual growth rate of GDP at factor cost of hospitality industry (p-value=
0.10828).
ANNEXURE 55
\The influence of% SHARE OF INDIA IN WORLD TOURIST ARRIVAL on annual growth rate of
GDP at factor cost of hospitality industry is given by the regression equation y=10.87715-
0.1855x. The hypothesis tested with the regression equation is as follows.
H0: b = 0 (no influence of % SHARE OF INDIA IN WORLD TOURIST ARRIVAL on annual
growth rate of GDP at factor cost of hospitality industry)
Ha: b 0(influence of % SHARE OF INDIA IN WORLD TOURIST ARRIVAL on annual
growth rate of GDP at factor cost of hospitality industry)
The R2 value is 0.009167. This means that 0.91% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in % SHARE OF
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INDIA IN WORLD TOURIST ARRIVAL. As this is very small therefore the regression outcomes
cannot be relied upon. Furthermore, the adjusted R2 (-0.11469) is very small and significantly
different and less than the R2. This also means that the sample size taken into consideration is
inadequate to draw any conclusion about the true relation between the chosen variables. The p
value is 0.792473; this value is more than 0.05. This value of p is the level of significance at
which this hypothesis can be rejected. Here the null hypothesis is accepted and that means that %
SHARE OF INDIA IN WORLD TOURIST ARRIVAL has no significant influence on the
annual growth rate of GDP at factor cost of hospitality industry (p-value= 0.792473).
ANNEXURE 56
The influence ofWORLD TOURIST ARRIVALS on annual growth rate of GDP at factor cost of
hospitality industry is given by the regression equation y=23.64968-0.01495x. The hypothesis
tested with the regression equation is as follows.
H0: b = 0 (no influence of WORLD TOURIST ARRIVALS on annual growth rate of GDP at
factor cost of hospitality industry)
Ha: b 0(influence ofWORLD TOURIST ARRIVALS on annual growth rate of GDP at factor
cost of hospitality industry)
The R2 value is 0.065803. This means that 6.58% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in WORLD
TOURIST ARRIVALS. As this is very small therefore the regression outcomes cannot be relied
upon. Furthermore, the adjusted R2 (-0.05097) is very small and significantly different and less
than the R2. This also means that the sample size taken into consideration is inadequate to draw
any conclusion about the true relation between the chosen variables. The p value is 0.47435; this
value is more than 0.05. This value of p is the level of significance at which this hypothesis can
be rejected. Here the null hypothesis is accepted and that means that WORLD TOURIST
ARRIVALS has no significant influence on the annual growth rate of GDP at factor cost of
hospitality industry (p-value= 0.47435).
ANNEXURE 57(ask)
The influence ofDOMESTIC TOURIST VISITS on annual growth rate of GDP at factor cost of
hospitality industry is given by the regression equation y=27.76235128-3.38102E-08x. The
hypothesis tested with the regression equation is as follows.
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no significant influence on the annual growth rate of GDP at factor cost of hospitality
industry (p-value= 0.102307).
ANNEXURE 59
The influence of ASSISTANCE SANCTIONED BY TFCI (TOURISM FINANCE
CORPORATION OF INDIA) on annual growth rate of GDP at factor cost of hospitality industry
is given by the regression equation y=16.24532-0.00025x. The hypothesis tested with the
regression equation is as follows.
H0: b = 0 (no influence of ASSISTANCE SANCTIONED BY TFCI on annual growth rate of
GDP at factor cost of hospitality industry)
Ha: b 0(influence ofASSISTANCE SANCTIONED BY TFCI on annual growth rate of GDP
at factor cost of hospitality industry)
The R2 value is 0.680411. This means that 68.04% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in ASSISTANCE
SANCTIONED BY TFCI. As this is very small therefore the regression outcomes cannot be relied
upon. Furthermore, the adjusted R2 (0.627146) is small and different and less than the R2. This
also means that the sample size taken into consideration is somewhat inadequate to draw any
conclusion about the true relation between the chosen variables. The p value is 0.011726; this
value is less than 0.05. This value of p is the level of significance at which this hypothesis can be
rejected. Here the null hypothesis is rejected and that means that ASSISTANCE SANCTIONED
BY TFCI has a significant influence on the annual growth rate of GDP at factor cost of
hospitality industry (p-value= 0.011726).
ANNEXURE 60
The influence ofASSISTANCE DISBURSED BY TFCI (TOURISM FINANCE CORPORATION
OF INDIA) on annual growth rate of GDP at factor cost of hospitality industry is given by the
regression equation y=16.49852-0. 00049x. The hypothesis tested with the regression equation is
as follows.
H0: b = 0 (no influence of ASSISTANCE DISBURSED BY TFCI on annual growth rate of GDP
at factor cost of hospitality industry)
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Ha: b 0(influence ofASSISTANCE DISBURSED BY TFCI on annual growth rate of GDP at
factor cost of hospitality industry)
The R2 value is 0.62273. This means that 62.27% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in ASSISTANCE
SANCTIONED BY TFCI. As this is very small therefore the regression outcomes cannot be relied
upon. Furthermore, the adjusted R2 (0.559852) is small and different and less than the R2. This
also means that the sample size taken into consideration is somewhat inadequate to draw any
conclusion about the true relation between the chosen variables. The p value is 0.01989; this
value is less than 0.05. This value of p is the level of significance at which this hypothesis can be
rejected. Here the null hypothesis is rejected and that means that ASSISTANCE DISBURSED BY
TFCI has a significant influence on the annual growth rate of GDP at factor cost of
hospitality industry (p-value=0.01989).
ANNEXURE 61
The influence of NUMBER OF PROJECTS SANCTIONED BY MTI (MINISTRY OF TRADE
AND INDUSTRY)on annual growth rate of GDP at factor cost of hospitality industry is given
by the regression equation y=11.90195-0.02569x. The hypothesis tested with the regression
equation is as follows.
H0: b = 0 (no influence of NUMBER OF PROJECTS SANCTIONED BY MTI on annualgrowth rate of GDP at factor cost of hospitality industry)
Ha: b 0(influence ofNUMBER OF PROJECTS SANCTIONED BY MTI on annual growth
rate of GDP at factor cost of hospitality industry)
The R2 value is 0.069155. This means that 6.91% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in NUMBER OF
PROJECTS SANCTIONED BY MTI. As this is very small therefore the regression outcomescannot be relied upon. Furthermore, the adjusted R2 (-0.24113) is very small and significantly
different and less than the R2. This also means that the sample size taken into consideration is
somewhat inadequate to draw any conclusion about the true relation between the chosen
variables. The p value is 0.669073; this value is more than 0.05. This value of p is the level of
significance at which this hypothesis can be rejected. Here the null hypothesis is accepted and
that means that NUMBER OF PROJECTS SANCTIONED BY MTI has no significant influence
on the annual growth rate of GDP at factor cost of hospitality industry (p-value=0.669073).
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ANNEXURE 62
The influence of AMOUNT SANCTIONED BY MTI (MINISTRY OF TRADE AND
INDUSTRY)on annual growth rate of GDP at factor cost of hospitality industry is given by the
regression equation y=22.95406-0.02304x. The hypothesis tested with the regression equation is
as follows.
H0: b = 0 (no influence of AMOUNT SANCTIONED BY MTI on annual growth rate of GDP at
factor cost of hospitality industry)
Ha: b 0(influence of AMOUNT SANCTIONED BY MTI on annual growth rate of GDP at
factor cost of hospitality industry)
The R2 value is 0.410275. This means that 41.02% of the variation in the annual growth rate of
GDP at factor cost of the hospitality industry is being explained by the changes in NUMBER OF
PROJECTS SANCTIONED BY MTI. As this is very small therefore the regression outcomes
cannot be relied upon. Furthermore, the adjusted R2 (0.213699) is very small and significantly
different and less than the R2. This also means that the sample size taken into consideration is
inadequate to draw any conclusion about the true relation between the chosen variables. The p
value is 0.244289; this value is more than 0.05. This value of p is the level of significance at
which this hypothesis can be rejected. Here the null hypothesis is accepted and that means that
AMOUNT SANCTIONED BY MTI has no significant influence on the annual growth rate of
GDP at factor cost of hospitality industry (p-value=0.244289).
RESEARCH METHODOLOGY DRAFT
Research Methodology is an overall framework of the project that stipulates what information is
to be collected from which source by what procedures. If descriptive information is needed, then
a quantitative study is likely to be needed. Quantitative Research is based on measurement of
quantity or amount, and Qualitative Research is concerned with qualitative phenomenon, i.e.,
phenomena relating to quality or kind. The data collected here is quantitative data relating to the
graphs and the statistics required to analyze the data. The choice of data collection methods for
this study includes secondary data from websites, reports, books and journals available in the
Learning Resource Centre of our college.
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Various secondary data have been found and from these DATA, data analysis has been done.
Charts and graphs have been used in order to analyze the data. Regression has already been used
to find out the link between various variables of the hospitality industry. Hypothesis is made in
order to examine the effect of one variable over others. Due to paucity of time, secondary data is
mainly used for this Project Report, and this research is of a quantitative nature.
The various methods used by me are:
Secondary data: Published data and the data collected in the past or other parties is
called secondary data. Secondary data is data that has already been collected by someone
else for a different purpose to yours.
The methods for collection are:
Internet
Magazines
CMIE
3.3 TOOLS RELATED TO RESEARCH METHODOLOGY:
Computation tools
Statistical tools
COMPUTATION TOOLS USED
o Microsoft Excel
o Microsoft word
STATISTICAL TOOLS USED
CORRELATION: Degree and type of relationship between any two or more quantities
(variables) in which they vary together over a period;. A positive correlation exists where the
high values of one variable are associated with the high values of the other variable(s). A
'negative correlation' means association of high values of one with the low values of the other(s).
Correlation can vary from +1 to -1. Values close to +1 indicate a high-degree of positive
correlation, and values close to -1 indicate a high degree of negative correlation. Values close to
zero indicate poor correlation of either kind, and 0 indicates no correlation at all.
Given below is the formula by Karl Pearson for sample correlation coefficient, commonly
denoted r:
http://www.businessdictionary.com/definition/party.htmlhttp://www.businessdictionary.com/definition/secondary-data.htmlhttp://www.businessdictionary.com/definition/degree.htmlhttp://www.businessdictionary.com/definition/quantity.htmlhttp://www.businessdictionary.com/definition/variable.htmlhttp://www.investorwords.com/3669/period.htmlhttp://www.businessdictionary.com/definition/positive-correlation.htmlhttp://www.investorwords.com/2306/high.htmlhttp://www.businessdictionary.com/definition/values.htmlhttp://www.businessdictionary.com/definition/associated.htmlhttp://www.businessdictionary.com/definition/negative-correlation.htmlhttp://www.businessdictionary.com/definition/mean.htmlhttp://www.businessdictionary.com/definition/association.htmlhttp://www.investorwords.com/2900/low.htmlhttp://www.investorwords.com/2900/low.htmlhttp://www.businessdictionary.com/definition/association.htmlhttp://www.businessdictionary.com/definition/mean.htmlhttp://www.businessdictionary.com/definition/negative-correlation.htmlhttp://www.businessdictionary.com/definition/associated.htmlhttp://www.businessdictionary.com/definition/values.htmlhttp://www.investorwords.com/2306/high.htmlhttp://www.businessdictionary.com/definition/positive-correlation.htmlhttp://www.investorwords.com/3669/period.htmlhttp://www.businessdictionary.com/definition/variable.htmlhttp://www.businessdictionary.com/definition/quantity.htmlhttp://www.businessdictionary.com/definition/degree.htmlhttp://www.businessdictionary.com/definition/secondary-data.htmlhttp://www.businessdictionary.com/definition/party.html -
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REGRESSION: A statistical measure that attempts to determine the strength of the relationship
between one dependent variable (usually denoted by Y) and a series of other changing variables
(known as independent variables). The two basic types of regression are linear regression
and multiple regressions. Linear regression uses one independent variable to explain and/or
predict the outcome of Y, while multiple regressions use two or more independent variables
to predict the outcome. The general form of each type of regression is:
Linear Regression: Y = a + bX + u
Where:
Y= the variable that we are trying to predict (dependant variable)
X= the variable that we are using to predict Y (independent variable)
a= the intercept
b= the slope
u= the regression residual.
DEPENDENT VARIABLE: A dependent variable is a variable dependent on another variable:
the independent variable. In simple terms, the independent variable is said to cause an apparent
change in, or simply affect, the dependent variable.
INDEPENDENT VARIABLE: An independent variable is a factor that can be varied or
manipulated in an experiment (e.g. time, temperature, concentration, etc). It is usually what will
affect the dependent variable.
There are two types of independent variables, which are often treated differently in statistical
analyses: (1) quantitative variables that differ in amounts or scale and can be ordered (e.g.
weight, temperature, time). (2) Qualitative variables which differ in "types" and can not be
ordered (e.g. gender, species, method). By convention when graphing data, the independent
variable is plotted along the horizontal X-axis with the dependent variable on the vertical Y-axis.
INTERCEPT: Thex-intercepts are where the graph crosses thex-axis, and they-intercepts are
where the graph crosses the they-axis. Then, algebraically,
anx-intercept is a point on the graph wherey is zero, and
ay-intercept is a point on the graph wherex is zero.
More specifically,
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anx-intercept is a point in the equation where the y-value is zero, and
ay-intercept is a point in the equation where thex-value is zero.
CO-EFFICIENT: A coefficient is a number in front of a variable. For example, in the
expression x2-10x+25, the coefficient of the x
2is 1 and the coefficient of the x is -10. The third
term, 25, is called a constant.
If the expression were -x2+10x+25, the coefficient of the x2 would be -1, and the coefficient of
the x would be 10.
P-Value: P value is associated with a test statistic. It is "the probability, if the test statistic really
were distributed as it would be under the null hypothesis, of observing a test statistic [as extreme
as, or more extreme than] the one actually observed. The smaller the P value, the more st rongly
the test rejects the null hypothesis, that is, the hypothesis being tested. A p-value of .05 or less
rejects the null hypothesis "at the 5% level" that is, the statistical assumptions used imply that
only 5% of the time would the supposed statistical process produce a finding this extreme if the
null hypothesis were true. Consider an experiment where you've measured values in two
samples, and the means are different. How sure are you that the population means are different as
well? There are two possibilities:
The populations have different means.
The populations have the same mean, and the difference you observed is a coincidence of
random sampling.
The P value is a probability, with a value ranging from zero to one. It is the answer to this
question: If the populations really have the same mean overall, what is the probability
that random sampling would lead to a difference between sample means as large (or
larger) than we observed?
What is R2 : R-Square is the proportion of variation in the dependent variable (Y)
that can be explained by the predictors (X variables) in the regression model. As predictors (X
variables) are added to the model, each predictor will explain some of the variance in the
dependent variable (Y) simply due to chance. One could continue to add predictors to the model
which would
continue to improve the ability of the predictors to explain the dependent variable, although
some of this increase in R-Square would be simply due to chance variation. There are several
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different definitions of R2 which are only sometimes equivalent. One class of such cases
includes that oflinear regression. In this case, R2 is simply the square of the sample correlation
coefficient between the outcomes and their predicted values, or in the case of simple linear
regression, between the outcome and the values being used for prediction. In such cases, the
values vary from 0 to 1. Important cases where the computational definition of R2 can yield
negative values, depending on the definition used, arise where the predictions which are being
compared to the corresponding outcome have not derived from a model-fitting procedure using
those data.
Adjusted R2: The Adjusted R_Square value is an attempt to correct this shortcoming by
adjusting both the numerator and the denominator by their respective degrees of freedom.
Unlike the R_Square, the Adjusted R_Square can decline in value if the contribution to the
explained deviation by the additional variable is less than the impact on the degrees of
freedom. This means that the Adjusted R_Square will react to alternative equations for the
same dependent variable in a manner similar to the Standard Error of the Estimate; i.e., the
equation with the smallest Standard Error of the Estimate will most likely also have the
highest Adjusted R square.
CONFIDENCE LEVEL: Statistical measure of the number of times out of 100 that test
results can be expected to be within a specified range. For example, a confidence level of
95% means that the result of an action will probably meet expectations 95% of the time.
Most analyses of variance or correlation are described in terms of some level of confidence.
HYPOTHESES: Hypotheses may be defined as a set of proposition set forth as an explanation
for the occurrence of some specified group of phenomenon either asserted merely as a
provisional conjecture to guide some investigation or accepted as highly probable in the light of
established facts. A hypothesis should be clear and precise and also be capable of being tested. It
should state relationship between variables and must be consistent with a substantial body of
established facts. A researcher must remember those narrower hypotheses are generally moretestable and acceptable.
Null hypotheses: typically proposes a general or default position, such as that there is
no relationship between two measured phenomena or that a potential treatment has no
effect. Hypothesis testing works by collecting data and measuring how probable the data
are, assuming the null hypothesis is true. If the data are very improbable (usually defined
as observed less than 5% of the time), then the experimenter concludes that the null
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hypothesis is false. If the data do not contradict the null hypothesis, then no conclusion is
made. In this case, the null hypothesis could be true or false; the data give insufficient
evidence to make any conclusion. For instance, a certain drug may reduce the chance of
having a heart attack. Possible null hypotheses are "this drug does not reduce the chances
of having a heart attack" and "this drug has no effect on the chances of having a heart
attack".
Alternative hypothesis:the hypothesis to be accepted if the null hypothesis is rejected. It
is compared with the null hypothesis in a statistical test. It is usually the one which one
wishes to prove whereas null hypothesis is usually the one which one wishes to
disapprove.
SOURCE:
1. http://www.businessdictionary.com/definition/correlation.html#ixzz143utZ
Zyw2. http://www.investorwords.com/4137/regression_equation.html
3. http://cnx.org/content/m13446/latest/
4. http://cnx.org/content/m13448/latest/
5. http://www.purplemath.com/modules/intrcept.htm
6. http://www.ask.com/wiki/Coefficient
7. http://www.answers.com/topic/confidence-level
8. http://www.nullhypothesis.co.uk/science/item/what_is_a_nullhypothesis
9. http://www.wisegeek.com/what-is-an-alternative-hypothesis.htm
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