12. The components of the OLS variancesUnder assumptions MLR.1 through MLR.5, conditional on the sample values of the independent variables, the variance of B; under OLS is:Var (B)sST, (1-15)whereo2 = the variance of the error termSST; = the total sample variation of a;R; = the R-squared from a regression of r; on all of the other explanatory variables, along with an intercept parameterThe variance of Biv as R; increases.decreasesFor the given modee following would lead to a reduction of the sampling variance of B;?increasesO Addingvariable that is equal to 5+ *jO Using the same data set with the same number of observationsO Adding irrelevant explanatory variables to the model that are correlated with r;O Choosing an explanatory variable z that is uncorrelated with the other explanatory variables in the model

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Description: 12. The components of the OLS variancesUnder assumptions MLR.1 through MLR.5, conditional on the sample values of the independent variables, the variance of B; under OLS is:Var (B)sST, (1-15)whereo2 = the variance of the error termSST; = the total s

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12. The components of the OLS variances Under assumptions MLR.1 through MLR.5, conditional on the sample values of the independent variables, the variance of B, under OLS is: Var () where o - the variance of the error term SST, - the total sample variation of z, RỆ - the R-squared from a regression of z, on all of the other explanatory variables, along with an intercept parameter The variance of By ▼ as R increases. decreases For the given mode e following would lead to a reduction of the sampling variance of 37 increases O Adding al variable that is equal to 5 + z, O using the same data set with the same number of observations O Adding irrelevant explanatory variables to the model that are correlated with zy O Choosing an explanatory variable za that is uncorrelated with the other explanatory variables in the model

12. The components of the OLS variances Under assumptions MLR.1 through MLR.5, conditional on the sample values of the independent variables, the variance of B, under OLS is: Var () where o - the variance of the error term SST, - the total sample variation of z, RỆ - the R-squared from a regression of z, on all of the other explanatory variables, along with an intercept parameter The variance of By ▼ as R increases. decreases For the given mode e following would lead to a reduction of the sampling variance of 37 increases O Adding al variable that is equal to 5 + z, O using the same data set with the same number of observations O Adding irrelevant explanatory variables to the model that are correlated with zy O Choosing an explanatory variable za that is uncorrelated with the other explanatory variables in the model

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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