Data:Sr. No.12Height1782917527167241782417427618030.4871852881522591582310169.524.511177271217230131853014180.3231518429.5Scatter plot of height versus foot length:345Foot length (d) Calculate the samplecorrelation and the samplecovariance by hand for the first 8observations of the two variablesyou use in the scatterplot. Showall of your work. (You can use acalculator for the algebra, butwrite out all of the equations.)(e) Using a computer program,calculate the regression line foryour scatterplot. Plot this line onthe scatterplot. (This is fairlystraightforward to do in excel,and there are a number ofwebsites that will explain how todo so.) You can also plot the lineon a hand-drawn scatterplot ifyou prefer (though you willprobably need to use a computerprogram to calculate theequation).(f) Briefly describe therelationship between the twovariables. Reference the meaningof the correlation, covariance,scatterplot, and regression line.

(d)Given that, n = number of paired observations = 8 Let 'X' be a random variable represents the…

(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

(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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

Section3.3: Modeling Data With Linear Functions

Problem 23SBE

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Question

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.

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