Question
Data is provided on 80 employees of a company. The managers want to determine which factors are most predictive of end-of-the-year performance ratings. Conduct a
Data is provided on 80 employees of a company. The managers want to determine which factors are most predictive of end-of-the-year performance ratings. Conduct a thorough regression analysis of the data, including 95% and 99% confidence intervals. Be sure to examine all P-values of all coefficients, create appropriate scatterplots and residual plots for each individual variable, test for nonlinearity, and develop a final regression equation for the data. Be prepared to answer questions about your investigation, make predictions and interpret the results.
Person | Seniority | Test1 | Test2 | Test3 | Performance Rating |
1 | 19 | 65 | 45 | 38 | 67 |
2 | 14 | 64 | 58 | 47 | 58 |
3 | 18 | 68 | 60 | 54 | 73 |
4 | 17 | 57 | 59 | 42 | 70 |
5 | 21 | 49 | 37 | 39 | 53 |
6 | 23 | 63 | 60 | 47 | 58 |
7 | 29 | 75 | 71 | 57 | 89 |
8 | 13 | 48 | 48 | 51 | 56 |
9 | 16 | 64 | 80 | 66 | 70 |
10 | 21 | 56 | 68 | 55 | 81 |
11 | 24 | 64 | 77 | 59 | 85 |
12 | 13 | 56 | 60 | 52 | 65 |
13 | 16 | 53 | 55 | 46 | 52 |
14 | 7 | 74 | 75 | 62 | 59 |
15 | 25 | 60 | 60 | 52 | 69 |
16 | 20 | 70 | 56 | 50 | 77 |
17 | 28 | 53 | 65 | 48 | 70 |
18 | 21 | 54 | 60 | 45 | 55 |
19 | 20 | 56 | 64 | 47 | 68 |
20 | 22 | 60 | 52 | 50 | 75 |
21 | 16 | 58 | 51 | 51 | 67 |
22 | 23 | 74 | 69 | 54 | 68 |
23 | 24 | 63 | 55 | 53 | 68 |
24 | 24 | 60 | 44 | 41 | 61 |
25 | 13 | 69 | 71 | 64 | 65 |
26 | 11 | 62 | 66 | 58 | 65 |
27 | 22 | 67 | 63 | 59 | 74 |
28 | 15 | 42 | 55 | 36 | 56 |
29 | 25 | 72 | 64 | 47 | 84 |
30 | 19 | 80 | 63 | 48 | 70 |
31 | 16 | 71 | 84 | 67 | 62 |
32 | 19 | 58 | 52 | 48 | 58 |
33 | 11 | 67 | 63 | 56 | 72 |
34 | 23 | 59 | 52 | 45 | 56 |
35 | 12 | 70 | 73 | 69 | 75 |
36 | 10 | 56 | 44 | 44 | 60 |
37 | 13 | 71 | 59 | 46 | 59 |
38 | 23 | 57 | 59 | 47 | 63 |
39 | 19 | 64 | 61 | 53 | 61 |
40 | 21 | 54 | 66 | 48 | 70 |
41 | 20 | 50 | 55 | 49 | 61 |
42 | 13 | 55 | 62 | 42 | 66 |
43 | 19 | 58 | 55 | 44 | 64 |
44 | 17 | 80 | 71 | 56 | 81 |
45 | 13 | 54 | 55 | 55 | 67 |
46 | 17 | 62 | 60 | 49 | 56 |
47 | 18 | 31 | 39 | 26 | 50 |
48 | 24 | 75 | 68 | 59 | 77 |
49 | 20 | 56 | 51 | 37 | 60 |
50 | 24 | 54 | 49 | 35 | 59 |
51 | 18 | 77 | 63 | 50 | 67 |
52 | 21 | 58 | 71 | 61 | 76 |
53 | 19 | 56 | 53 | 47 | 64 |
54 | 20 | 45 | 59 | 41 | 47 |
55 | 23 | 56 | 71 | 48 | 54 |
56 | 8 | 47 | 46 | 34 | 38 |
57 | 23 | 64 | 52 | 61 | 76 |
58 | 25 | 67 | 64 | 62 | 72 |
59 | 14 | 53 | 52 | 42 | 46 |
60 | 14 | 82 | 86 | 69 | 84 |
61 | 30 | 72 | 78 | 77 | 100 |
62 | 17 | 57 | 72 | 59 | 71 |
63 | 23 | 50 | 53 | 43 | 71 |
64 | 20 | 63 | 61 | 52 | 71 |
65 | 23 | 62 | 75 | 63 | 80 |
66 | 19 | 65 | 65 | 57 | 65 |
67 | 14 | 71 | 72 | 58 | 64 |
68 | 17 | 52 | 55 | 49 | 51 |
69 | 12 | 53 | 55 | 38 | 57 |
70 | 21 | 63 | 56 | 49 | 63 |
71 | 21 | 42 | 58 | 40 | 59 |
72 | 8 | 66 | 68 | 52 | 57 |
73 | 25 | 56 | 58 | 48 | 51 |
74 | 18 | 65 | 74 | 60 | 76 |
75 | 21 | 53 | 58 | 50 | 75 |
76 | 30 | 75 | 66 | 62 | 74 |
77 | 27 | 58 | 52 | 41 | 75 |
78 | 21 | 52 | 49 | 46 | 61 |
79 | 17 | 57 | 68 | 61 | 56 |
80 | 11 | 47 | 61 | 44 | 54 |
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