Transcription of Ch.6 Multiple Regression Multiple Regression Analysis ...
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Ch.6 Multiple Regression Multiple Regression Analysis ...
Chapter 06 Multiple Regression 4: Further Issues1 Econometrics1 Multiple Regression Analysisy = 0+ 1x1+ 2x2+ .. kxk+ u4. Further Multiple Regression : Further of Data Scaling on OLS on Functional on Goodness-of-Fit & Selection of & Residual Analysis * Effects of Data ScalingRedefining VariablesChanging the scale of the variable will lead to a corresponding change in the scale of the coefficients and standard errors, but no change in the significance or interpretation. seetable Redefining VariablesIf xjis multiplied by c, its coefficient is divided by yis multiplied by c, allOLS coefficients is multiplied by tnor Fstatistics are affected by changing the units of measurement of any the variables appears in logarithmic form, changing unit of measurement does not affect the slope of Data ScalingEconometrics5 DependentIndependentycy yx1 1(se1)c 1(c*se1) dx1 1/d(se1/d)x2 2(se2)c 2(c*se2) 2(se2)Intercept 0(se0)c 0(c*se0) 0(se0)R-squaredR2R2R2 SSRSSRc2*SSRSSRS
Chapter 06 Multiple Regression 4: Further Issues 3 Econometrics 13 More on Quadratic Models For the case of the coefficient on x > 0 and the coefficient on x2 <0, y is increasing in x at first, but will eventually turn around and be decreasing
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