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Method End-of-Training Proficiency Method coded Study Time Proficiency*Method coded You are working in the training department of a large insurance company and you are charged
Method | End-of-Training | Proficiency | Method coded | Study Time | Proficiency*Method coded | You are working in the training department of a large insurance company and you are charged with the task to determine which training method is best. There are two methods to be evaluated, which are classroom and online training. You received data of a sample of 30 trainees (15 from each training method). Before the training, each trainee is given a proficiency exam and at the end of the training each trainee is given the end-of-training exam. The sampled trainees also provided information on the time they spent studying outside of the classroom. The data collection results are provided to your left. | |||||||||||||
classroom | 14 | 94 | 0 | 22 | 0 | ||||||||||||||
classroom | 17 | 98 | 0 | 18 | 0 | ||||||||||||||
classroom | 19 | 96 | 0 | 12 | 0 | ||||||||||||||
classroom | 26 | 105 | 0 | 25 | 0 | ||||||||||||||
classroom | 28 | 110 | 0 | 10 | 0 | ||||||||||||||
online | 34 | 84 | 1 | 8 | 84 | Develop the multiple regression model that best predicts the score on the end-of training exam. Consider the following options: Model 1: all independent variables (proficiency, study time, method coded) included without interaction term Model 2: all independent variables includedwith interaction term Final Model: only include independent variables that significantly contribute to the model at a .05 level of significance --> provide the analyses outputsin the povided sheets or rename your created sheets accordingly Points possible: 40 | |||||||||||||
classroom | 35 | 102 | 0 | 16 | 0 | ||||||||||||||
classroom | 36 | 111 | 0 | 21 | 0 | ||||||||||||||
classroom | 38 | 100 | 0 | 9 | 0 | ||||||||||||||
online | 38 | 80 | 1 | 23 | 80 | ||||||||||||||
classroom | 40 | 102 | 0 | 14 | 0 | ||||||||||||||
classroom | 41 | 109 | 0 | 15 | 0 | ||||||||||||||
classroom | 42 | 111 | 0 | 20 | 0 | ||||||||||||||
online | 43 | 90 | 1 | 11 | 90 | ||||||||||||||
online | 43 | 97 | 1 | 24 | 97 | ||||||||||||||
online | 46 | 104 | 1 | 22 | 104 | ||||||||||||||
online | 52 | 101 | 1 | 18 | 101 | For your final model, provide the following information on this sheet: | |||||||||||||
online | 53 | 96 | 1 | 12 | 96 | ||||||||||||||
classroom | 55 | 92 | 0 | 25 | 0 | a) | Create residuals versus predicted y plot and analyze all plots. Provide a statement whether the assumptions are met (including why) to achieve valid results from the regression model. | ||||||||||||
classroom | 55 | 99 | 0 | 10 | 0 | ||||||||||||||
online | 55 | 110 | 1 | 8 | 110 | ||||||||||||||
classroom | 57 | 107 | 0 | 16 | 0 | Predicted Y Residual PLOT: | |||||||||||||
online | 61 | 97 | 1 | 21 | 97 | ||||||||||||||
online | 63 | 112 | 1 | 9 | 112 | ||||||||||||||
classroom | 66 | 130 | 0 | 23 | 0 | ||||||||||||||
online | 74 | 118 | 1 | 14 | 118 | ||||||||||||||
online | 76 | 120 | 1 | 15 | 120 | ||||||||||||||
online | 79 | 120 | 1 | 20 | 120 | ||||||||||||||
online | 81 | 118 | 1 | 11 | 118 | ||||||||||||||
online | 93 | 115 | 1 | 24 | 115 | ||||||||||||||
Answer: | |||||||||||||||||||
b) | State the multiple regression equation using the names of your variables instead of x1, etc. (2 decimals) | ||||||||||||||||||
c) | Provide the test statistic with its p-value that indicates the significance of the overall multiple regression model (3 decimals) | ||||||||||||||||||
d) | Provide the value of the coefficient of multiple determination (2 decimals) and explain its meaning. | ||||||||||||||||||
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