On the first day of class, an economics professor administers atest to gauge the math preparedness of her students. She believesthat the performance on this math test and the number of hoursstudied per week on the course are the primary factors that predicta student’s score on the final . She collects data from 60students.
Click here for the Excel Data Filea. Estimate the sample regression equationthat enables us to predict a student’s final score on thebasis of his/her math score and the number of hours studied perweek. (Round your answers to 2 decimal places.Negative value should be indicated by a minus sign.)
b-1. At the 5% significance level, are astudent’s math score and the number of hours studied per weekjointly significant in explaining a student’s final score? First,specify the competing hypotheses.
H0: β1 = β2 =0; HA: At leastone βj > 0
H0: β1 = β2 =0; HA: At leastone βj < 0
H0: β1 = β2 =0; HA: At leastone βj ≠ 0
b-2. Find the p-value.
p-value 0.10
0.05 p-value< 0.10
0.025 p-value< 0.05
0.01 p-value< 0.025
p-value < 0.01
b-3. What is the conclusion to thetest?c-1. At the 5% significance level, is eachexplanatory variable individually significant in explaining astudent’s final score? First, specify the competinghypotheses.
H0: βj =0; HA: βj >0
H0: βj =0; HA: βj <0
H0: βj =0; HA: βj ≠0
c-2. For each explanatory variable, statethe p-value and determine whether the explanatory variable issignificant in explaining FinalScore. (Round p-value to 3 decimalplaces.)
1 Final IN M 2 3 4 5 6 7 8 9 10 11 12 13 14 15 567 16 A 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 93 76 56 78 90 77 94 85 71 84 101 90 96 93 62 47 82 58 76 68 41 84 86 88 41 96 83 36 67 80 47 105 77 90 61 70 73 113 B Math с Hours 104 60 88 59 90 56 46 72 68 110 116 32 64 41 63 55 72 82 75 36 55 86 49 83 32 67 68 55 79 124 57 111 62 30 78 67 83 66 Final_Test 152 3 1 2 4 4 1 3 2 1 1 in t 5 4 1 2 3 1 1 1 st 4 1 3 2 5 2 3 5 3 2 4 5 5 2 3 1 4 + D
28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 55 A 83 36 67 80 47 105 77 90 61 70 73 113 62 72 62 78 57 90 84 40 155 81 77 42 49 90 75 103 37 34 117 58 39 63 B 68 55 79 124 57 111 62 30 78 67 83 66 35 70 94 67 82 69 52 116 80 150 41 32 53 28 75 102 125 37 71 31 51 96 с 2 3 5 3 2 4 5 5 2 3 1 st 4 1 1 2 5 2 4 5 3 5 5 3 сл с 5 4 4 1 4 4 1 1 1 3 1
On the first day of class, an economics professor administers a test to gauge the math preparedness of her students. She
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