Given are five observations for two variables,  and .   Xi 1 2 3 4 5 Yi 4 7 7 12 14   The estimated regression equation for these data is yhat = 1.3+2.5x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal).     SSE   SST   SSR     b. Compute the coefficient of determination rsquare  (to 3 decimals).   Does this least squares line provide a good fit? - Select your answer -No, the least squares line does not produce much of a fitYes, the least squares line provides a very good fitItem 5 c. Compute the sample correlation coefficient (to 4 decimals).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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Given are five observations for two variables,  and .

 

Xi 1 2 3 4 5
Yi 4 7 7 12 14

 

The estimated regression equation for these data is yhat = 1.3+2.5x.

a. Compute SSE, SST, and SSR using the following equations (to 1 decimal).

 

 

SSE  
SST  
SSR  

 

b. Compute the coefficient of determination rsquare  (to 3 decimals).

 

Does this least squares line provide a good fit?

- Select your answer -No, the least squares line does not produce much of a fitYes, the least squares line provides a very good fitItem 5

c. Compute the sample correlation coefficient (to 4 decimals).

 

 
 
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