11.49 The director of a training program for a large insur- Develop a multiple regression model to predict the score ance company is evaluating three different methods of train- on the end-of-training exam, based on the score on the pro- ing underwriters. The three methods are traditional, CD- ficiency exam and the method of training used. ROM based, and Web based. She divides 30 trainees into a. State the multiple regression equation. three randomly assigned groups of 10. Before the start of b. Interpret the meaning of the slopes in this problem. the training, each trainee is given a proficiency exam that c. Predict the mean end-of-training exam score for a stu- measures mathematics and computer skills. At the end of dent with a proficiency exam score of 100 who had the training, all students take the same end-of-training Web-based training. exam. The results, stored in the file underwriting.>ds are as d. Perform a residual analysis on your results and deter- follows: mine the adequacy of the model. e. Is there a significant relationship between the end-of- Proficiency End-of-Training training exam score and the independent variables Exam Exam Method (proficiency score and training method) at the 0.05 94 14 Traditional level of significance? f. At the 0.05 level of significance, determine whether 96 19 Traditional 98 17 Traditional each independent variable makes a contribution to the 100 38 Traditional regression model. Indicate the most appropriate regres- sion model for this set of data. 102 40 Traditional 105 26 Traditional g. Construct 95% confidence interval estimates of the 109 41 Traditional population slope for the relationship between end-of- 110 28 Traditional training exam score and each independent variable. 111 36 Traditional h. Interpret the meaning of the coefficient of multiple 130 66 Traditional determination. 38 i. Compute the adjusted r2. 80 CD-ROM based 34 CD-ROM based j. Compute the coefficients of partial determination and 84 90 43 CD-ROM based interpret their meaning. 97 43 CD-ROM based k. What assumption about the slope of proficiency score 97 61 CD-ROM based with end-of-training exam score do you need to make in 112 63 CD-ROM based this problem? 115 93 CD-ROM based 1. Add interaction terms to the model and, at the 0.05 level 118 74 CD-ROM based of significance, determine whether any interaction 1 20 76 CD-ROM based terms make a significant contribution to the model. 1 20 79 CD-ROM based m. On the basis of the results of (f) and (1), which model is 55 Web based most appropriate? Explain. 96 53 Web based 99 55 Web based 101 52 Web based 102 35 Web based 104 46 Web based 107 57 Web based 110 55 Web based 111 42 Web based 118 81 Web based