Dean made a statistical estimation of the cost-output relationship for a shoe store. The data for the firm is given in the following table. x 4.5 7 9 10 15 20 33 50 y 3 3.3 3.4 3.5 4.5 5.5 7.5 12 Here x is the output in thousands of pairs of shoes, and y is the cost in thousands of dollars. A. Determine the best-fitting line (using least squares). S1(x) =        r2 =        B. Determine the best-fitting quadratic (using the least squares) and the square of the correlation coefficient. S2(x) =

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Dean made a statistical estimation of the cost-output relationship for a shoe store. The data for the firm is given in the following table.

x 4.5 7 9 10 15 20 33 50
y 3 3.3 3.4 3.5 4.5 5.5 7.5 12


Here x is the output in thousands of pairs of shoes, and y is the cost in thousands of dollars.
A. Determine the best-fitting line (using least squares).
S1(x) = 

 
 
 


r2 = 

 
 
 


B. Determine the best-fitting quadratic (using the least squares) and the square of the correlation coefficient.
S2(x) = 

 
 
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