Fit the data to the Cobb-Douglas production function

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Reference no: EM133037402

Question 1: The following Table gives the output in tons Q, the labor input in hours L, and capital input in machine hours K, of 14 firms in an industry. Fit the data to the Cobb-Douglas production function and find the values of the beta coefficients by building and appropriate econometric model

Q = b0Lb1Kb2e14

Output and Labor and Capital Inputs of 14 Firms in an Industry

Firm

1

2

3

4

5

6

7

8

9

10

11

1 2

13

14

Q

240

400

110

530

590

470

450

160

290

490

150

550l

560

430

L

1480

1660

1150

1790

1880

1860

1940

1240

1240

1850

1570

1700

2000

1850

K

410

450

380

430

480

450

490

395

430

460

435

470

480

440

Question 2: The following Table gives the quantity of milk (in thousands of quarts) supplied by a firm per month Q at various prices P over a 14-month period. The firm faced a strike in some of its plants during the fifth, sixth, and seventh months. Run a regression of Q on P (a) testing only for a shift in the intercept during periods of strike and nonstrike and (bj testing for a shift in the intercept and slope.

Quantity Supplied of Milk (in Thousands of Quarts) at Vmvlous Prices

Month

1

2

3

4

5

6

7

8

9

10

11

12

13

14

Q

98

100

103

105

80

87

94

113

116

118

121

123

126

128

P

0.79

0.80

0.82

0.82

0.93

0.95

0.96

0.88

0.88

0.90

0.93

0.94

0.96

0.97

Reference no: EM133037402

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