amda assignment 1 group 3 (1)
TRANSCRIPT
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7/31/2019 AMDA Assignment 1 Group 3 (1)
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Regression analysis of relationshipbetween Production of cereals and
Percentage Area under Irrigation
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Variables taken:
Dependent Variable(Y): Production of cereals
Independent Variable(X): Percentage Area under Irrigation
A priori reasoning: There is a direct relationship betweenproduction of cereals and per cent area under irrigation.
Null hypothesis: There is no linear relationship between
production of cereals and per cent area under irrigation.
Alternate hypothesis: Their exists a linear relationship between
production of cereals and per cent area under irrigation.
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Data SheetYear Production (Y)
% Area under
Irrigation (X )1990-91 32.7 9
1991-92 25.99 10.7
1992-93 36.59 10.1
1993-94 30.82 10.4
1994-95 29.88 10.4
1995-96 29.03 11
1996-97 34.1 10.2
1997-98 30.4 11
1998-99 31.34 12
1999-00 30.33 12.6
2000-01 31.08 12.5
2001-02 33.38 11.5
2002-03 26.07 11
2003-04 37.6 6.6
2004-05 33.47 6.6
2005-06 34.07 13
2006-07 33.92 13.4
2007-08 40.75 14.2
1990-91 32.7 9
1991-92 25.99 10.7
1992-93 36.59 10.1
Y = production million. tones.
X = % area under irrigation.
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Simple Linear
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Simple Linear
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Simple Linear Analysis
Y= 32.500-0.018x+3.84737
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Log Linear
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Log Linear
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Analysis
Log Y= 1.562-0.053log x
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Semi Log
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Semi Log
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Analysis
Ln Y=-15.015+0.009X
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Linear Trend
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Linear Trend
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Analysis
The regression equation is
Y= -583.391+ 0.308x +3.454
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Cubic
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Cubic
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Analysis
The regression equation is :Y= 49.463-0.509 x^2 + 0.032 x^3+10.315
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Summary Table
Particulars Equation Constant Slope t Value Sig Level R 2
Simple Linear Y= 32.500-0.018x+3.84737 32.500 -0.018 -0.039 0.969 0.000
Log Linear Log Y= 1.562-0.053log x 1.562 -0.053 -0.390 0.701 0.009
Semi Log Ln Y=-15.015+0.009X -15.015 0.009 1.897 0.076 0.184
Linear Trend Y= -583.391+ 0.308x +3.454 -583.391 0.308 1.962 0.067 0.194
Cubic Y= 49.463-0.509 x^2 + 0.032
x^3+10.315
49.463 -3.618,
3.610
0.003,
0.002
0.479
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THANK YOU
Name Roll No.
Manu Thomas U311077
Milind GeeteU311078
Sachin Tanajirao Pethkar U311087
V Ramesh U311096
Vandana Kumari U311098
Varun Kappal U311099
Julian Tobias U511003
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