Adjusted R Square 0.22 Standard Error 7.93 Observations 100 ANOVA df SS MS F Significance F Regression 1 1844 1844.17 29.34 0.00 Residual 98 6159 62.85 Total 99 8004 Standard Coefficients Error t Stat P-value Lower 95% Upper 95% Intercept 9.95 1.16 8.60 0.000 7.65 12.24 CompAtWork 8.60 1.59 5.42 0.000 5.45 11.76 Regression #2: Predicting wages with computer use and education Regression Statistics Multiple R 0.63 R Square 0.40 Adjusted R Square 0.39 Standard Error 7.03 Observations 100 ANOVA df SS MS F Significance F Regression 2 3213 1606.328 32.52211 1.55311E-11 Residual 97 4791 49.39187 Total 99 8004 Standard Coefficients Error t Stat P-value Lower 95% Upper 95% Intercept -10.08 3.94 -2.56 0.01 -17.90 -2.26 CompAtWork 4.06 1.65 2.46 0.02 0.78 7.34 Education 1.67 0.32 5.26 0.00 1.04 2.30 a) Is the coefficient on the variable measuring computer use in Regression #2 statistically significant? Briefly explain how you decided. b) Regression #2 was estimated on a random sample of US workers in 1997. Explain the phrase “statistically in the context of this regression. Include the fact that the regression was estimated on a sample of significant” workers (as opposed to the whole population) in your explanation.
Adjusted R Square 0.22 Standard Error 7.93 Observations 100 ANOVA df SS MS F Significance F Regression 1 1844 1844.17 29.34 0.00 Residual 98 6159 62.85 Total 99 8004 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 9.95 1.16 8.60 0.000 7.65 12.24 CompAtWork 8.60 1.59 5.42 0.000 5.45 11.76 Regression #2: Predicting wages with computer use and education Regression Statistics Multiple R 0.63 R Square 0.40 Adjusted R Square 0.39 Standard Error 7.03 Observations 100 ANOVA df SS MS F Significance F Regression 2 3213 1606.328 32.52211 1.55311E-11 Residual 97 4791 49.39187 Total 99 8004 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept -10.08 3.94 -2.56 0.01 -17.90 -2.26 CompAtWork 4.06 1.65 2.46 0.02 0.78 7.34 Education 1.67 0.32 5.26 0.00 1.04 2.30 a) Is the coefficient on the variable measuring computer use in Regression #2 statistically significant? Briefly explain how you decided. b) Regression #2 was estimated on a random sample of US workers in 1997. Explain the phrase “statistically significant” in the context of this regression. Include the fact that the regression was estimated on a sample of workers (as opposed to the whole population) in your explanation.
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