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Question: Table below gives the output in tons Q, the labour inputs in hours, L, and the capital input in machine hours K, of 14 firms in the beef processing industry.
Firms
1
2
3
4
5
6
7
8
9
10
11
12
13
14
Q
240
400
110
530
590
470
450
160
290
490
350
550
560
430
L
1480
1660
1150
1790
1880
1860
1940
1240
1850
1570
1700
2000
K
410
380
480
395
460
435
440
(i) Fit the data to the Cobb-Douglas production function: ?? = ??0????1????2???? (Hint. Transform the data and have a double-log equation).
(ii) Test the hypothesis for labour and Capital? Are these factors significantly influencing quantity of beef produced? How can you justify.
(iii) Discuss the criteria would you use to evaluate the overall model performance?
(iv) Interpret the values of the beta coefficients estimated.
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