Given are five observations for two variables,  and . xi 3 5 13 15 17 yi 54 57 40 13 16 The estimated regression equation for these data is y= 68.37 + 3.05x a. Compute  sse   (to 2  decimals) sst   (to  2 decimals) ssr   (to  2 decimals) b. Compute the coefficient of determination r^2. Comment on the goodness of fit.   (to 3 decimals) The least squares line provided a good  fit;          %   of the variability in  has been explained by the estimated regression equation (to 1 decimal). c. Compute the sample correlation coefficient. Enter negative value as negative number.   (to  3 decimals)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.6: Regression And Median-fit Lines
Problem 6PPS
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Given are five observations for two variables,  and .

xi 3 5 13 15 17
yi 54 57 40 13 16

The estimated regression equation for these data is y= 68.37 + 3.05x

a. Compute 

sse   (to 2  decimals)
sst   (to  2 decimals)
ssr   (to  2 decimals)

b. Compute the coefficient of determination r^2. Comment on the goodness of fit.

  (to 3 decimals)

The least squares line provided a good  fit;          %   of the variability in  has been explained by the estimated regression equation (to 1 decimal).

c. Compute the sample correlation coefficient. Enter negative value as negative number.

  (to  3 decimals)

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