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Hello, would like some help to provide answers for these questions for me to cross check my work. Thanks! Question 4 A study investigated the

Hello, would like some help to provide answers for these questions for me to cross check my work. Thanks!

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Question 4 A study investigated the relationship between the commissions earned by sales associates last year and the number of months since the associates earned their real estate licenses. Also of interest in the study is the gender of the sales associates. Below is a portion of the regression output. The dependent variable is the commissions, which is reported in $000, and the independent variables are months since the license was earned and gender (female=1 and male=0). SUMMARY OUTPUT Regression Statistics Multiple R 0.7669 R Square 0.5881 Adjusted R Square 0.5396 Standard Error 4.4110 Observations 20 ANOVA af SS MS F Significance F Regression 472.2014 236.1007 12.1348 0.0005 Residual 330.7615 19.4566 Total 19 802.9628 Standard Lower Upper Lower Upper Coefficients Error t Stat P-value 95% 95% 99.0% 99.0% Intercept 16.3390 4.5172 3.6171 0.0021 6.8085 25.8695 3.2471 29.4309 months 0.3777 0.1105 3.4192 0.0033 0.1446 0.6108 0.0576 0.6978 gender 5.6351 2.0242 2.7839 0.0127 1.3644 9.9058 0.2315 11.5017 (a) Describe the relationship between commissions (Y), the number of months since the associates earned their real estate licenses (X1), and gender (X2) by writing out the regression equation. Interpret the coefficient estimates. (6 marks) ( b ) Estimate how much commissions a female agent who earned her license 30 months ago can make. (4 marks) (c) Execute a test of hypothesis to determine if the independent variable gender should be included in the analysis. Use the .05 significance level. What is your conclusion? (8 marks) (d) Do you believe results from the regression? Comment on the reliability of the regression results. (7 marks)

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