1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Months on job (x) Monthly sales (y) thousands of dollars X2 Y2 XY (Y Y ) (Y Y )2 ^ Y ^ (Y Y ) ^ (Y Y )2 1 2 4 5 8 9 12 0.80 2.40 7.00 3.70 11.30 12.00 15.00 41 a) Find b1 b) Find b0 c) Write the estimated regression equation d) Interpret b1 e) Calculate the coefficient of determination f) Interpret the coefficient of determination Problem 7 Problem 8 21. The following regression equation was obtained using the five independent variables. Given that =0.05 a) What percent of the variation is explained b by the regression equation? ) c) What is the critical value of the F-statistic? d ) What is the standard error of regression? What sample size is used in the print out? e) What is the variance of the slope coefficient of income? f) Conduct a global test of hypothesis to determine if any of the regression coefficients are not zero. g) Conduct a test of hypothesis on each of the independent variables. Would you consider eliminating outlets and bosses? Problem 9 22.Please use the following computer printout to answer the following questions: Coefficients Std. Error t-Stat P-value Intercept 729.8665 169.25751 4.3121659 0.0010099 Price -10.887 3.4952397 -3.1148078 0.0089406 Advertising 0.0465 0.0176228 2.6386297 0.0216284 ANOVA Regression Residual Total Se =12.86986 df 2 12 14 SS 12442.8 1987.6 14430.4 R-sq = 0.862263 MS F 6221.4 37.56127994 165.63333 Significance F 0.00000683 R-sq(adj) = 0.8393068 =0.05 a) Write and interpret the multiple regression equation. b) Does the model with Price and Advertising contribute to the prediction of Y? Use a 0.05 significance level. c) Which independent variable appears to be the best predictor of sales? Explain. d) What is the number of observations used in this study? e) Assuming that the coefficient on Advertising has Ha: B1 > 0, what statistical decision should be made at 5% level. f)What is the standard error of estimate? Can you use this statistic to assess the model's fit? If so, how? g) What is the coefficient of determination, and what does it tell you about the regression model? h) What is the coefficient of determination, adjusted for degrees of freedom? What do this statistic and the statistic referred to in part (g) tell you about how well this model fits that data. i) Test the overall utility of the model. What does the p-value of the test statistic tell you? Problem 10 21. A metropolitan bus system sampler's rider counts on one of its express commuter routes for a week. Use the following data to establish whether the rider ship is evenly balanced by day of the week. Let =0.05 Day Monday Tuesday Wednesday Thursday Friday Rider Count 10 34 21 57 44 a) Is the 2 value significant at 5% level of significance? b) Write the conclusion for this