(d) Calculate the sample correlation and the sample covariance by hand for the first 8 observations of the two variables you use in the scatterplot. Show all of your work. (You can use a calculator for the algebra, but

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Data:
Sr. No.
1
2
Height
178
29
175
27
167
24
178
24
174
27
6
180
30.48
7
185
28
8
152
25
9
158
23
10
169.5
24.5
11
177
27
12
172
30
13
185
30
14
180.3
23
15
184
29.5
Scatter plot of height versus foot length:
345
Foot length
Transcribed Image Text:Data: Sr. No. 1 2 Height 178 29 175 27 167 24 178 24 174 27 6 180 30.48 7 185 28 8 152 25 9 158 23 10 169.5 24.5 11 177 27 12 172 30 13 185 30 14 180.3 23 15 184 29.5 Scatter plot of height versus foot length: 345 Foot length
(d) Calculate the sample
correlation and the sample
covariance by hand for the first 8
observations of the two variables
you use in the scatterplot. Show
all of your work. (You can use a
calculator for the algebra, but
write out all of the equations.)
(e) Using a computer program,
calculate the regression line for
your scatterplot. Plot this line on
the scatterplot. (This is fairly
straightforward to do in excel,
and there are a number of
websites that will explain how to
do so.) You can also plot the line
on a hand-drawn scatterplot if
you prefer (though you will
probably need to use a computer
program to calculate the
equation).
(f) Briefly describe the
relationship between the two
variables. Reference the meaning
of the correlation, covariance,
scatterplot, and regression line.
Transcribed Image Text:(d) Calculate the sample correlation and the sample covariance by hand for the first 8 observations of the two variables you use in the scatterplot. Show all of your work. (You can use a calculator for the algebra, but write out all of the equations.) (e) Using a computer program, calculate the regression line for your scatterplot. Plot this line on the scatterplot. (This is fairly straightforward to do in excel, and there are a number of websites that will explain how to do so.) You can also plot the line on a hand-drawn scatterplot if you prefer (though you will probably need to use a computer program to calculate the equation). (f) Briefly describe the relationship between the two variables. Reference the meaning of the correlation, covariance, scatterplot, and regression line.
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