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?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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?

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