Question: I could use help with this problem. Mike Wilde is president of the teachers' union for Otsego School District. In preparing for upcoming negotiations, he

I could use help with this problem.

I could use help with this problem. Mike Wilde is president ofthe teachers' union for Otsego School District. In preparing for upcoming negotiations,he is investigating the salary structure of classroom teachers in the district.He believes there are three factors that affect a teacher's salary: yearsof experience, a teaching effectiveness rating given by the principal, and whether

Mike Wilde is president of the teachers' union for Otsego School District. In preparing for upcoming negotiations, he is investigating the salary structure of classroom teachers in the district. He believes there are three factors that affect a teacher's salary: years of experience, a teaching effectiveness rating given by the principal, and whether the teacher has a master's degree. A random sample of 20 teachers resulted in the following data. Salary ($ Years of Principal's Master's thousands ) , y Experience, *1 Rating, *2 Degree, * *3 31. 1 35 33.6 43 29.3 2 51 43.0 15 60 38.6 1 1 73 45.0 14 80 42.0 9 76 36.8 7 54 48.6 22 55 31.7 25.7 30.6 51 .8 JUIHW 23 46.7 17 38.4 12 33.6 41.8 30.7 32. 8 80 42 . 8 32 OHOHOHOHOOHHHOHOHPOO *1 = yes, 0 = no. Expicture Click here for the Excel Data File a. Develop a correlation matrix. Which independent variable has the strongest correlation with the dependent variable? Does it appear there will be any problems with multicollinearity? (Round your answers to 3 decimal places.) Answer is complete and correct. The correlation matrix is: Salary Years Rating Years 0.868 Rating 0.547 0.187 Master's 0.311 0.208 0.458Answer is complete and correct. Years has the strongest correlation with salary. There does not appear to be a problem with multicollinearity. b. Determine the regression equation. What salary would you estimate for a teacher with 5 years' experience, a rating by the principal of 60, and no master's degree? (Negative amount should be indicated by a minus sign. Round salary to nearest whole number, all other answers to 3 decimal places.) The regression equation is: x Answer is not complete. 19.915 + 0.899 ( *1 0.154 X2 (0.667) x3 or c. Conduct a global test of hypothesis to determine whether any of the regression coefficients differ from zero. Use the 0.05 significance level. (Round your answers to 2 decimal places.) * Answer is not complete. HO is rejected if F Computed F = HO is rejected . At least one regression coefficient is not zero.d. Conduct a test of hypothesis for the individual regression coefficients. Would you consider deleting any of the independent decimal places.) variables? Use the 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 A regression coefficient is dropped if computed t is to the left of or right of Keep " " and " "; drop " e. If your conclusion in part (d) was to delete one or more independent variables, run the analysis again without those variables. (Round your answers to 4 decimal places.) Dropping " " we have: Salary = + +f. State true or false. Histogram of Residuals From the graph the residuals appear normally distributed. True 0 False 9. Choose the right option from the following graph. 3 The residuals look random. 0 ' The residuals do not look random

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