3. From the annual data for the US manufacturing sector Dougherty obtained the following regression results: Log Y = 2.81 – 0.53 log K + 0.91 log L+ 0.47t (1.38) (0.34) eqn 1 std. error (0.14) (0.021) Page 1 of 3 R²= 0.97 F= 198.8 Y = index of real output, K = index of real capital input, L=index of real labor input, t = time or trend. Using the same data, he also obtained the following regression: Log (Y/L) = -0.11 + 0.11 log (K/L) + 0.006t (0.03) (0.15) eqn 2 std. error (0.006) R?= 0.65 F= 19.5 Is there multicollinearity in the regression model no. 1? How do you know? In equation 1, what is the expected sign of K? Do the results conform to this expectation? Why or why not? What is the logic behind estimating equation 2? If there is multicollinearity in regression 1, has it changed in regression 2? How?

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3. From the annual data for the US manufacturing sector Dougherty obtained the following
regression results:
Log Y = 2.81 – 0.53 log K + 0.91 log L+ 0.47t
(1.38) (0.34)
eqn 1
std. error
(0.14)
(0.021)
Page 1 of 3
R²= 0.97 F= 198.8
Y = index of real output, K = index of real capital input,
L=index of real labor input, t = time or trend.
Using the same data, he also obtained the following regression:
Log (Y/L) = -0.11 + 0.11 log (K/L) + 0.006t
(0.03) (0.15)
eqn 2
std. error
(0.006)
R?= 0.65 F= 19.5
Is there multicollinearity in the regression model no. 1? How do you know?
In equation 1, what is the expected sign of K? Do the results conform to this
expectation? Why or why not? What is the logic behind estimating equation 2?
If there is multicollinearity in regression 1, has it changed in regression 2? How?
Transcribed Image Text:3. From the annual data for the US manufacturing sector Dougherty obtained the following regression results: Log Y = 2.81 – 0.53 log K + 0.91 log L+ 0.47t (1.38) (0.34) eqn 1 std. error (0.14) (0.021) Page 1 of 3 R²= 0.97 F= 198.8 Y = index of real output, K = index of real capital input, L=index of real labor input, t = time or trend. Using the same data, he also obtained the following regression: Log (Y/L) = -0.11 + 0.11 log (K/L) + 0.006t (0.03) (0.15) eqn 2 std. error (0.006) R?= 0.65 F= 19.5 Is there multicollinearity in the regression model no. 1? How do you know? In equation 1, what is the expected sign of K? Do the results conform to this expectation? Why or why not? What is the logic behind estimating equation 2? If there is multicollinearity in regression 1, has it changed in regression 2? How?
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