Multiple Regression Analysis & Inference 1. Using the information provided in the Table below, complete the missing elements (a)-(g) showing how you arrived at your results. Dependent Variable: log(Wage) Variable Coefficient Standard Error t-statistic p-value Age (a) 0.0076 12.848 <0.001 Education 0.01 (b) 6.653 (c) Intercept 0.217 (d) (e) 0.0464 Residual Standard Error 0.4614 R-Squared (f) Total Sum of Squares 148.33 Explained Sum of Squares (g) Number of Observations 526 (a)=? (b)=? (c)=? (d)=? (e)=? (f)=? (g)=?
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217 Age = 0.076 Education = 0.0 (not given) Standard Errors: Age = 0.0464 Other information: F-statistic = 12.848 p-value < 0.001 Residual Standard Error = 0.4614 R-Squared = ? Total Sum of Squares = ? Explained Sum of Squares = ? Number of Observations = Show moreā¦
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6- In the following multiple regression model, Ln(Wage) = Ģ ā+ Ģ āAge+ Ģ āExperience + u, where Ln(Wage) is natural log of $ hourly wage and age and experience are measured in years. Age is measured as age beyond 16. Assume MLR.1-ML1.6 are satisfied. OLS, using observations 1-31, Dependent variable: Ln(Wage) coefficient std. error const 2.2031 1.0132 Age 0.0192 0.0038 Experience 0.0545 0.0240 Mean dependent var 2.86213 S.D. dependent var 1.1551 Sum squared resid 7.8930 S.E. of regression (ĢĢ£) ? R-squared ?
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Multiple regression analysis produced the following tables: Predictor Coefficients Standard Error t-statistic p-value Intercept 624.5369 78.49712 7.956176 6.88E-06 x1 8.569122 1.652255 5.186319 0.000301 x2 4.736515 0.699194 6.774248 3.06E-05 Source df SS MS F p-value Regression 2 1660914 830457.1 58.31956 1.4E-06 Residual 11 156637.5 14239.77 Total 13 1817552 For x1 = 30 and x2 = 100, the predicted value of y is ___.
A multiple regression analysis produced the following output from Excel. SUMMARY OUTPUT Regression Statistics Multiple R 0.978724022 R Square 0.957900711 Adjusted R Squa 0.952287472 Standard Error 67.67055418 Observations 18 ANOVA df SS MS F Significance F Regression 2 1562918.941 781459.5 170.6503 4.80907E-11 Residual 15 68689.55855 4579.304 Total 17 1631608.5 Coefficients Standard Error t Stat P-value Intercept 1959.709718 306.4905312 6.39403 1.21E-05 X1 -0.469657287 0.264557168 -1.77526 0.096144 X2 -2.163344882 0.278361425 -7.77171 1.23E-06 The coefficient of multiple determination is ______. A. 0.9787 B. 67.671 C. 0.9523 D. 0.9579 E. 0.0489
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