STA3201- Introduction To Econometrics - KCA University

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Assignment Task

a) The ANOVA table below is the result of a study of output against labour and capital input assuming the Cobb-Douglas production function Y = B0 LB1 KB2 e12 , where Y  is the output,  is the labour input in hours, and K is the capital input in KshM. For the model ln Y =ln B0 + B1 ln L + B2 ln K + U

Source

d.f

Sum of sqs

Mean ss

F

Regression

2

3.9872

 

 

Residual

 

0.0487

 

 

Total

39

 

 

 

 

(i) Obtain the coefficient of multiple determination                  

(ii) What conclusion would you make from the table?

b) A survey was conducted to study the relationship between expenditure on advertising (X) and sales of a particular firm (Y). The following calculations were made;

∑Yj2 =299.8 , ∑Xj2 Yj2 =32,308.59 , ∑Yj2 =6430.06 n=15

The fitted line is given by

1. Compute the Total Sum of Squares (TSS), Sum of Squared Errors (SSE) hence R-Squared (R2).                                                                    

2. Interpret Robtained above.      

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