Consider the following production function:
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Is there multicollinearity in this regression? If there is, would we say the estimates are biased, inefficient or inconsistent..
 alt="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
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