Consider the following production function:

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Is there multicollinearity in this regression? If there is, would we say the estimates are biased, inefficient or inconsistent..

Consider the following production function:
where the industry output Y, is assumed to be a function of capital K, and labor 4 and a proxy
ariable for the technology level W,. Consider the following estimated equations:
(1)
In Y, = 2.57 + 0.212 Ink, + 0.343 InL, + 0.030 InW,
(2.90) (0.348)
(0.551)
(0.063)
R? = 0.944
SSR = 0.843
p? = 0.989
pnk = 0.988
p?nw = 0.999
Inl
InW
In(Y:/K;) = 1.07 + 0.637 In (L; / K;)
(0.13) (0.08)
(2)
R² = 0.740
SSR = 0.855
where P, is the coefficient of determination from the regression of the i" explanatory variable on
the rest of the regressors, the number of observations T = 27, and the values in parentheses are the
standard errors.
a. Consider regression (1). Is there multicollinearity in this regression? If there is
multicollinearity would you say the estimates are biased, inefficient or inconsistent?
Win
Wind
Transcribed Image Text:Consider the following production function: where the industry output Y, is assumed to be a function of capital K, and labor 4 and a proxy ariable for the technology level W,. Consider the following estimated equations: (1) In Y, = 2.57 + 0.212 Ink, + 0.343 InL, + 0.030 InW, (2.90) (0.348) (0.551) (0.063) R? = 0.944 SSR = 0.843 p? = 0.989 pnk = 0.988 p?nw = 0.999 Inl InW In(Y:/K;) = 1.07 + 0.637 In (L; / K;) (0.13) (0.08) (2) R² = 0.740 SSR = 0.855 where P, is the coefficient of determination from the regression of the i" explanatory variable on the rest of the regressors, the number of observations T = 27, and the values in parentheses are the standard errors. a. Consider regression (1). Is there multicollinearity in this regression? If there is multicollinearity would you say the estimates are biased, inefficient or inconsistent? Win Wind
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