Question: Use the following information to create a regression model: A. Calculate the sample mean, variance, and standard deviation for X and for Y. B. Calculate

Use the following information to create a regression model:

Π ΣΧ-31 Σ (Χ,- X - 60 ΣΧ- ) (Υ - 7)- 84 i=1 i=1 i=1
Σχ?-789 i=1
-31 (,- X - 60 - ) ( - 7)- 84 i=1

A. Calculate the sample mean, variance, and standard deviation for X and for Y.
B. Calculate the sample covariance and the correlation between X and Y.
C. Calculate b̂0 and b̂1 for a regression of the from Yi = b̂0 + b̂1Xi.
For the remaining three parts of this question, assume that the calculations shown above already incorporate the correct values for b̂0 + b̂1.
D. Find the total variation, explained variation, and unexplained variation.
E. Find the coefficient of determination.
F. Find the standard error of the estimate.

-31 (,- X - 60 - ) ( - 7)- 84 i=1 i=1 i=1 ?-789 i=1

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