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 his math test and the number of hours studied per week on course are the primary factors that predict a student's score on final exam. She collects data from 60 students, a portion of which is shown in the accompanying table. Final Math Hours 81 92 1
1. 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 his math test and the number of hours studied per week on course are the primary factors that predict a student's score on final exam. She collects data from 60 students, a portion of which is shown in the accompanying table.
Final Math Hours
81 92 1
63 74 3
67 78 1
66 90 4
55 85 1
74 53 4
73 43 4
75 48 2
81 79 3
61 61 3
80 81 3
67 53 3
76 44 5
84 96 5
60 57 2
84 77 4
75 77 2
69 69 1
71 60 3
76 42 1
63 79 5
72 78 5
59 49 2
68 65 2
61 41 4
64 87 2
78 51 1
54 62 5
84 63 2
85 91 1
60 43 1
90 72 1
47 44 2
58 54 5
51 76 3
72 68 3
77 79 1
82 43 3
80 65 4
68 75 3
74 63 1
87 44 1
70 68 1
80 74 4
62 45 2
67 85 5
79 90 1
78 77 5
78 66 5
51 44 1
67 52 3
61 39 4
69 53 2
63 52 1
53 81 4
59 49 3
80 77 2
67 38 2
74 30 1
61 55 3
A. Estimate the sample regression equation enables us to predict a student 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-1. At the 5% significance level, are a student's math score and the number of hours studied per week jointly significant in explaining a student's final exam score? First, specify the competing hypotheses.
a) H0: B1 = B2 = 0 ; HA : At least one BJ > 0
b) H0: B1 = B2 = 0 ; HA : At least one BJ < 0
c) H0: B1 = B2 = 0 ; HA : At least one BJ # 0
B-2. find the p-value
a) P-value > 0.10
b) P-value <0.01
c) 0.01 < p-value < 0.025
d) 0.025< p-value <0.05
e) 0.05 < p-value < 0.10
B-3. what is the conclusion the test ?
.............HO,we ..........conclude the predictor variables are jointly significant.
C-1. At the 5% significance level, is each predictor variable individual significant in explaining a student's final exam score? First, specify the competing hypotheses.
a) H0: Bj = 0 ; HA : BJ > 0
b) H0: Bj = 0 ; HA : BJ < 0
c) H0: Bj = 0 ; HA : BJ # 0
C-2. 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 variables p-value Significant in explaining final score
Math .......... Yes or no ?
Hours ...... Yes or no ?
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