On the first day of class, an economics professor administers a test to gauge the math preparedness of her students. She believes that the performance on this math test and the number of hours studied per week on the course are the primary factors that predict a student’s score on the final exam. She collects data from 60 students, a portion of which is shown in the accompanying table. Final Math Hours 94 92 5 74 90 3 74 87 4 76 84 3 66 87 2 80 49 4 74 42 3 71 61 4 84 81 5 76 67 5 95 93 4 78 56 5 71 54 3 82 96 2 65 50 3 77 86 2 78 88 2 63 78 2 76 55 5 71 44 4 70 80 1 73 80 4 62 41 2 70 69 4 60 51 2 76 79 4 70 54 2 55 53 1 77 58 5 81 97 2 59 42 1 95 76 5 59 57 2 64 57 2 61 80 2 74 65 3 75 87 3 76 42 4 75 67 3 71 89 3 72 71 3 84 53 5 73 68 2 83 83 4 57 54 1 79 88 4 88 90 4 69 93 2 82 76 5 52 46 3 71 61 2 66 47 4 69 60 3 74 56 5 62 83 1 62 41 2 78 80 4 66 43 2 78 41 5 63 64 2 a. Estimate the sample regression equation that enables us to predict a student’s final exam score on the basis of his/her math score and the number of hours studied per week. (Round your answers to 2 decimal places.) Final= +. Math. +. Hours b. For each predictor variable, state the p-value and determine whether the predictor variable is significant in explaining Final Score. (Round p-value to 3 decimal places.) predictor variable P-Value Significant in Explaining Final Score math yes or no? hours yes or no?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter3: Straight Lines And Linear Functions

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Question

On the first day of class, an economics professor administers a test to gauge the math preparedness of her students. She believes that the performance on this math test and the number of hours studied per week on the course are the primary factors that predict a student’s score on the final exam. She collects data from 60 students, a portion of which is shown in the accompanying table.

Final	Math	Hours
94	92	5
74	90	3
74	87	4
76	84	3
66	87	2
80	49	4
74	42	3
71	61	4
84	81	5
76	67	5
95	93	4
78	56	5
71	54	3
82	96	2
65	50	3
77	86	2
78	88	2
63	78	2
76	55	5
71	44	4
70	80	1
73	80	4
62	41	2
70	69	4
60	51	2
76	79	4
70	54	2
55	53	1
77	58	5
81	97	2
59	42	1
95	76	5
59	57	2
64	57	2
61	80	2
74	65	3
75	87	3
76	42	4
75	67	3
71	89	3
72	71	3
84	53	5
73	68	2
83	83	4
57	54	1
79	88	4
88	90	4
69	93	2
82	76	5
52	46	3
71	61	2
66	47	4
69	60	3
74	56	5
62	83	1
62	41	2
78	80	4
66	43	2
78	41	5
63	64	2

a. Estimate the sample regression equation that enables us to predict a student’s final exam score on the basis of his/her math score and the number of hours studied per week. (Round your answers to 2 decimal places.)

Final= +. Math. +. Hours

b. For each predictor variable, state the p-value and determine whether the predictor variable is significant in explaining Final Score. (Round p-value to 3 decimal places.)