using your calculator using ran# using ranint finding standard deviation finding correlation...
TRANSCRIPT
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Using your calculator
• Using Ran#
• Using Ranint
• Finding Standard Deviation
• Finding Correlation Coefficient
Go
Go
Go
Go
END
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Random Sampling using Ran#The Ran#: Generates a pseudo random number to 3 decimal places that is less than 1.
i.e. it generates a random number in the range [0, 1]
Ran# is in Yellow
END
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Random Sampling using Ran#
END
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To keep generating a
random 3 digit number between
[0,1] we repeatedly
press
=
Random Sampling using Ran#
END
![Page 5: Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END](https://reader037.vdocuments.site/reader037/viewer/2022102500/56649eab5503460f94bb09cc/html5/thumbnails/5.jpg)
Random Sampling using Ran#
END
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The calculator automatically
displays in Natural display.
If we are generating lots of numbers this may become annoying.
We need to Set UP the calculator
into Linear Display
(as a single line …Decimals)
Random Sampling using Ran#
END
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Random Sampling using Ran#
END
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We want it
Linear
Random Sampling using Ran#
END
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We want a random number
again
Random Sampling using Ran#
END
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Random Sampling using Ran#
END
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To keep generating a
random 3 digit number between
[0,1] we repeatedly
press
=
Random Sampling using Ran#
END
![Page 12: Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END](https://reader037.vdocuments.site/reader037/viewer/2022102500/56649eab5503460f94bb09cc/html5/thumbnails/12.jpg)
Random Sampling using Ran#
END
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Random Sampling using Ran#
END
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Using Ran# to generate a random whole number within a given
interval[1,200]
If we multiply the randomly generated number by 199 then
199 x [0, 1] = [0, 199]
To get it between 1 and 200 we must add 1
199 x [0, 1] + 1 = [1, 200]
But we must first SET UP the calculator to Fix to 0 decimal place
END
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Random Sampling using Ran# for an interval [1,200]
END
But we must first SET UP the calculator to Fix to 0 decimal place
![Page 16: Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END](https://reader037.vdocuments.site/reader037/viewer/2022102500/56649eab5503460f94bb09cc/html5/thumbnails/16.jpg)
But we must first SET UP the calculator to Fix to 0 decimal place
Random Sampling using Ran# for an interval [1,200]
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Random Sampling using Ran# for an interval [1,200]But we must first SET UP the calculator to Fix to 0 decimal
place
![Page 18: Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END](https://reader037.vdocuments.site/reader037/viewer/2022102500/56649eab5503460f94bb09cc/html5/thumbnails/18.jpg)
Random Sampling using Ran# for an interval [1,200]But we must first SET UP the calculator to Fix to 0 decimal
place
![Page 19: Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END](https://reader037.vdocuments.site/reader037/viewer/2022102500/56649eab5503460f94bb09cc/html5/thumbnails/19.jpg)
The calculator tells us it has
been SET UP
ToFix
We now need to tell it what we
want
199 x [0, 1] + 1
Random Sampling using Ran# for an interval [1,200]
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Random Sampling using Ran# for an interval [1,200]
END
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Random Sampling using Ran# for an interval [1,200]
END
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Random Sampling using Ran# for an interval [1,200]
END
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Random Sampling using Ran# for an interval [1,200]
END
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Random Sampling using Ran# for an interval [1,200]
END
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Random Sampling using Ran# for an interval [1,200]
END
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END
Random Sampling using Ran# for an interval [1,200]
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Random Sampling using Ran# for an interval [1,200]
END
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Random Sampling using Ran# for an interval [1,200]
END
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Random Sampling using Ran# for an interval [1,200]
END
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Using your calculator
• Using Ran#
• Using Ranint
• Finding Standard Deviation
• Finding Correlation Coefficient
Go
Go
Go
Go
END
![Page 31: Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END](https://reader037.vdocuments.site/reader037/viewer/2022102500/56649eab5503460f94bb09cc/html5/thumbnails/31.jpg)
END
Random Sampling using Ranint for an interval [1,200]
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Ranint is in Red
END
Random Sampling using Ranint for an interval [1,200]
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END
Random Sampling using Ranint for an interval [1,200]
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We want our interval to be
[1,200]
END
Random Sampling using Ranint for an interval [1,200]
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The comma is here in yellow
END
Random Sampling using Ranint for an interval [1,200]
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The comma is here in yellow
END
Random Sampling using Ranint for an interval [1,200]
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END
Random Sampling using Ranint for an interval [1,200]
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END
Random Sampling using Ranint for an interval [1,200]
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END
Random Sampling using Ranint for an interval [1,200]
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The bracket is here
END
Random Sampling using Ranint for an interval [1,200]
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To keep generating a
random 3 digit number between
[1,200] we repeatedly
press
=
END
Random Sampling using Ranint for an interval [1,200]
![Page 42: Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END](https://reader037.vdocuments.site/reader037/viewer/2022102500/56649eab5503460f94bb09cc/html5/thumbnails/42.jpg)
END
Random Sampling using Ranint for an interval [1,200]
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END
Random Sampling using Ranint for an interval [1,200]
![Page 44: Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END](https://reader037.vdocuments.site/reader037/viewer/2022102500/56649eab5503460f94bb09cc/html5/thumbnails/44.jpg)
Using your calculator
• Using Ran#
• Using Ranint
• Finding Standard Deviation
• Finding Correlation Coefficient
Go
Go
Go
Go
END
![Page 45: Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END](https://reader037.vdocuments.site/reader037/viewer/2022102500/56649eab5503460f94bb09cc/html5/thumbnails/45.jpg)
Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
We first need to make surethe calculator is clear of all
previous content
Finding Standard Deviation
END
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Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
We first need to make surethe calculator is clear of all
previous content
Finding Standard Deviation
END
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Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
We want to clear ALL
Finding Standard Deviation
ENDEND
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Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
Yes reset all
Finding Standard Deviation
END
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Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
We really do agree
AC
Finding Standard Deviation
END
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Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
We want the calculator
in STATS mode
Finding Standard Deviation
END
![Page 51: Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END](https://reader037.vdocuments.site/reader037/viewer/2022102500/56649eab5503460f94bb09cc/html5/thumbnails/51.jpg)
Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
We want the calculator
in STATS mode
Finding Standard Deviation
END
![Page 52: Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END](https://reader037.vdocuments.site/reader037/viewer/2022102500/56649eab5503460f94bb09cc/html5/thumbnails/52.jpg)
Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
We only have 1 variable
Finding Standard Deviation
END
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Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
We now input our data pressing
= after each term
Finding Standard Deviation
END
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Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
Finding Standard Deviation
END
![Page 55: Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END](https://reader037.vdocuments.site/reader037/viewer/2022102500/56649eab5503460f94bb09cc/html5/thumbnails/55.jpg)
Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
Finding Standard Deviation
END
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Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
Finding Standard Deviation
END
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Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
Repeat this process until the data is entered
Finding Standard Deviation
ENDEND
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Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
We have finished inputting the data.
We now need to get to where we can analyse
itPress
AC
Finding Standard Deviation
END
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Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
We need to analyse
the STATS we have input
Finding Standard Deviation
END
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Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
Finding Standard Deviation
We need to analyse
the STATS we have input
END
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Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
Finding Standard Deviation
We want to see the
Variance
END
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Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
We want the standard Deviation
σx
Finding Standard Deviation
ENDEND
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Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
Finding Standard Deviation
END
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Find the Standard Deviation of 6,5,5,4,5,5,6,5 and 4
This is the standard deviation
of the data set
To see more analysis details, analyse the data again
Finding Standard Deviation
END
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Using your calculator
• Using Ran#
• Using Ranint
• Finding Standard Deviation
• Finding Correlation Coefficient
Go
Go
Go
Go
END
![Page 66: Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END](https://reader037.vdocuments.site/reader037/viewer/2022102500/56649eab5503460f94bb09cc/html5/thumbnails/66.jpg)
Find the Correlation Coefficient for the following dataWe first need to make sure
the calculator is CLeaR of all previous content
Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2No. of tourists
(1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Finding Correlation Coefficient
Finding Correlation CoefficientEND
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Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2No. of tourists
(1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Finding Correlation CoefficientEND
We first need to make sure
the calculator is CLeaR of all previous content
![Page 68: Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END](https://reader037.vdocuments.site/reader037/viewer/2022102500/56649eab5503460f94bb09cc/html5/thumbnails/68.jpg)
We want to clear All
Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2No. of tourists
(1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Finding Correlation CoefficientEND
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Yes Reset all
Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2No. of tourists
(1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Finding Correlation CoefficientEND
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Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2No. of tourists
(1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
We really do agree
AC
Finding Correlation CoefficientEND
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We want the calculator
in STATS mode
Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2No. of tourists
(1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Finding Correlation CoefficientEND
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Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2No. of tourists
(1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
We want the calculator
in STATS mode
Finding Correlation CoefficientEND
![Page 73: Using your calculator Using Ran# Using Ranint Finding Standard Deviation Finding Correlation Coefficient END](https://reader037.vdocuments.site/reader037/viewer/2022102500/56649eab5503460f94bb09cc/html5/thumbnails/73.jpg)
We have 2 variables
Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2No. of tourists
(1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Finding Correlation CoefficientEND
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We now input the first row of the data
into the first column of the table
pressing = after each term
Useful to write the numbers 1,2,3,…
above each row so as we can check we are correct
Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2No. of tourists
(1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
1 2 3 4 5 6 7 8 9
Finding Correlation CoefficientEND
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1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2
No. of tourists (1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Finding Correlation CoefficientEND
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1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2
No. of tourists (1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Finding Correlation CoefficientEND
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Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2No. of tourists
(1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
1 2 3 4 5 6 7 8 9
Finding Correlation CoefficientEND
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Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2No. of tourists
(1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
1 2 3 4 5 6 7 8 9
Finding Correlation CoefficientEND
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1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2
No. of tourists (1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Finding Correlation CoefficientEND
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1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2
No. of tourists (1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Finding Correlation CoefficientEND
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1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2
No. of tourists (1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Finding Correlation CoefficientEND
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1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2
No. of tourists (1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Repeat this process until the first row has been entered
Finding Correlation CoefficientEND
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Use the cursor keys to enter the data from
the second row
Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2No. of tourists
(1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
1 2 3 4 5 6 7 8 9
Finding Correlation CoefficientEND
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Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2No. of tourists
(1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
1 2 3 4 5 6 7 8 9
Press the right cursor
Finding Correlation CoefficientEND
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1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2
No. of tourists (1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Finding Correlation CoefficientEND
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1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2
No. of tourists (1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Input the data from the second row
Finding Correlation CoefficientEND
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1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2
No. of tourists (1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
We have finished inputting the data.
We now need toanalyse the STATS
Press
AC
Finding Correlation CoefficientEND
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We need to analyse
the STATS we have input
Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2No. of tourists
(1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
1 2 3 4 5 6 7 8 9
Finding Correlation CoefficientEND
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1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2
No. of tourists (1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Finding Correlation Coefficient
We need to analyse
the STATS we have input
END
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1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2
No. of tourists (1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Finding Correlation Coefficient
We want use Regression
END
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1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2
No. of tourists (1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
We want the Correlation Coefficient
r
Finding Correlation CoefficientEND
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1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2
No. of tourists (1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Press
=
Finding Correlation CoefficientEND
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We have the Correlation Coefficient
of the data
To see more analysis detailsanalyse the
STAT
1 2 3 4 5 6 7 8 9 Rainfall (x cm) 4.5 3.0 5.2 5.0 2.1 0 0 1.2 3.2
No. of tourists (1000’s 5.0 8.0 0.8 4.2 4.8 7.4 9.4 8.6 2.6
Finding Correlation CoefficientEND
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The line of Best Fit
The calculator uses y = A + BxInstead of
y = mx + c
1: A → the y intercept2: B → the Slope
Using the Equation ofthe line of Best Fit
e.g. To find the value of y when x is 9
Press 9
Then in regression choose (4)
e.g. To find the value of x when y is 3.2
Press 3.2
Then in regression choose (4)
x
END
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Using your calculator
• Using Ran#
• Using Ranint
• Finding Standard Deviation
• Finding Correlation Coefficient
Go
Go
Go
Go
END