D. Suppose regression output for the overall model is as follows Analysis of Var
ID: 2922896 • Letter: D
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D. Suppose regression output for the overall model is as follows Analysis of Variance Sum of Squares 0.47066 6.68271 7.15337 Mean square 0.23533 0.02868 DF F Value 8.205 Prob>F 0.004 Model Error c Total 233 235 Root MSE Dep Mean C.v. 0.16936 R-square 1.14711 Adj R-sq 0.0658 0.0578 14.76360 Parameter Estimates Standard T for HO: variable DF INTERCEP 1 YEARS Gender Parameter Estimate 1.570602 082103 0.15467199 0.03381570 0.06442935 Error Parameter-0 Prob IT 10.154 2.428 -2.123 0.0001 0.0159 0.0348 1 -0.136784 0. Is the overall model effective for predicting executive salary? Do the appropriate test E. Interpret the coefficient of Gender in a complete sentence F. Does gender appear to affect executive salaries? Test for different intercepts.Explanation / Answer
we see that the signficant F is 0.004 . This test whether the model is statitically significant or not.
Ho : The model is not statistically signficant
H1 : The model is statistically signficant
As the p value is less than 0.05 , hence we reject null in favor of alternate hypothesis
E
The coefficeint of gender is -0.136784 , this means that if male is coded as 1 and female as 0 , then a male would cause the dependent variable (salaries) to go down by 0.136784 units as opposed to female which would not cause any effect on the depdendent variable (salaries)
f)
The p value for gender is 0.0348 , considering an alpha of 0.05 , as the p value is less than 0.05 hence Gender is statistically significant to the regression equation and affects the salaries signficantly
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