Highlights
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, L 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 R2 obtained above.
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