Hours Spent Studying Total Points Earned 22 12 20 18 29 25 24 25 43 28 46 29 39 35 40 39 51 40 43 43 39 43 51 49 52 50 65 51 57 53 56 53 52 55 66 55 63 57 68 57 67 59 42 59 65 59 69 60 72 60 66 61 53 61 45 61 58 62 81 62 60 62 57 62 77 62 78 63 67 64 78 64 72 64 58 64 71 65 76 65 79 66 83 66 65 66 72 66 71 66 52 67 78 67 70 67 81 67 80 68 79 68 72 68 75 68 91 68 65 68 84 69 77 69 78 70 72 70 84 70 83 70 67 70 80 71 78 71 72 72 70 72 94 72 92 72 84 73 98 73 78 73 78 73 84 73 74 74 90 74 83 74 84 74 83 75 78 75 93 75 80 75 101 76 81 76 83 76 91 76 83 76 93 76 78 76 78 77 65 77 84 77 97 77 88 77 93 78 93 78 95 78 95 79 91 79 95 79 94 79 95 80 102 80 105 80 83 80 99 80 97 81 79 81 101 81 88 82 93 83 95 85 94 85 104 85 88 85 80 86 98 86 83 86 91 86 90 87 83 87 92 88 88 88 99 89 101 90 101 90 99 90 102 90 84 90 110 91 93 91 105 91 109 91 91 92 104 92 95 92 98 92 91 93 104 93 104 94 106 95 95 95 106 95 92 95 101 96 95 96 109 96 95 96 101 96 105 97 104 97 104 97 105 98 95 99 109 100 110 100 101 100 Develop an estimated linear regression equation showing how total points earned (y) is related to hours spent studying (x). What is the estimated linear regression model? (Round your numerical values to four decimal places.) ŷ =          (c) Test whether the parameter ?0 is equal to zero at a 0.01 level of significance. Find the p-value. (Round your answer to four decimal places.) p-value =   State your conclusion. (Make your conclusion regardless of any validity concerns.) We reject H0. We can conclude that the y-intercept is not equal to zero.We fail to reject H0. We cannot conclude that the y-intercept is not equal to zero.    We reject H0. We cannot conclude that the y-intercept is not equal to zero.We fail to reject H0. We can conclude that the y-intercept is not equal to zero. Test whether the parameter ?1 is equal to zero at a 0.01 level of significance. (Use the t test.) Find the p-value. (Round your answer to four decimal places.) p-value =   State your conclusion. (Make your conclusion regardless of any validity concerns.) We fail to reject H0. We cannot conclude that there is a relationship between hours spent studying and total points earned.We reject H0. We can conclude that there is a relationship between hours spent studying and total points earned.    We reject H0. We cannot conclude that there is a relationship between hours spent studying and total points earned.We fail to reject H0. We can conclude that there is a relationship between hours spent studying and total points earned. What are the correct interpretations of the estimated parameters? b0 is our estimate of the hours spent studying when total points earned is zero. b1 is our estimate of the change in hours spent studying for a one point increase in total points earned.b0 is our estimate of the change in total points earned for a one hour increase in time spent studying. b1 is our estimate of the total points earned when the hours spent studying is zero.    b0 is our estimate of the change in hours spent studying for a one point increase in total points earned. b1 is our estimate of the hours spent studying when total points earned is zero.b0 is our estimate of the total points earned when the hours spent studying is zero. b1 is our estimate of the change in total points earned for a one hour increase in time spent studying. Are these interpretations reasonable? The interpretation of b0      reasonable and the interpretation of b1      reasonable. (d) How much of the variation in the sample values of total points earned (in %) does the model you estimated in part (b) explain? (Round your answer to two decimal places.)   %

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Hours Spent Studying Total Points Earned
22 12
20 18
29 25
24 25
43 28
46 29
39 35
40 39
51 40
43 43
39 43
51 49
52 50
65 51
57 53
56 53
52 55
66 55
63 57
68 57
67 59
42 59
65 59
69 60
72 60
66 61
53 61
45 61
58 62
81 62
60 62
57 62
77 62
78 63
67 64
78 64
72 64
58 64
71 65
76 65
79 66
83 66
65 66
72 66
71 66
52 67
78 67
70 67
81 67
80 68
79 68
72 68
75 68
91 68
65 68
84 69
77 69
78 70
72 70
84 70
83 70
67 70
80 71
78 71
72 72
70 72
94 72
92 72
84 73
98 73
78 73
78 73
84 73
74 74
90 74
83 74
84 74
83 75
78 75
93 75
80 75
101 76
81 76
83 76
91 76
83 76
93 76
78 76
78 77
65 77
84 77
97 77
88 77
93 78
93 78
95 78
95 79
91 79
95 79
94 79
95 80
102 80
105 80
83 80
99 80
97 81
79 81
101 81
88 82
93 83
95 85
94 85
104 85
88 85
80 86
98 86
83 86
91 86
90 87
83 87
92 88
88 88
99 89
101 90
101 90
99 90
102 90
84 90
110 91
93 91
105 91
109 91
91 92
104 92
95 92
98 92
91 93
104 93
104 94
106 95
95 95
106 95
92 95
101 96
95 96
109 96
95 96
101 96
105 97
104 97
104 97
105 98
95 99
109 100
110 100
101 100
Develop an estimated linear regression equation showing how total points earned (y) is related to hours spent studying (x). What is the estimated linear regression model? (Round your numerical values to four decimal places.)
ŷ = 
 
 
 
 
(c)
Test whether the parameter ?0 is equal to zero at a 0.01 level of significance.
Find the p-value. (Round your answer to four decimal places.)
p-value =  
State your conclusion. (Make your conclusion regardless of any validity concerns.)
We reject H0. We can conclude that the y-intercept is not equal to zero.We fail to reject H0. We cannot conclude that the y-intercept is not equal to zero.    We reject H0. We cannot conclude that the y-intercept is not equal to zero.We fail to reject H0. We can conclude that the y-intercept is not equal to zero.
Test whether the parameter ?1 is equal to zero at a 0.01 level of significance. (Use the t test.)
Find the p-value. (Round your answer to four decimal places.)
p-value =  
State your conclusion. (Make your conclusion regardless of any validity concerns.)
We fail to reject H0. We cannot conclude that there is a relationship between hours spent studying and total points earned.We reject H0. We can conclude that there is a relationship between hours spent studying and total points earned.    We reject H0. We cannot conclude that there is a relationship between hours spent studying and total points earned.We fail to reject H0. We can conclude that there is a relationship between hours spent studying and total points earned.
What are the correct interpretations of the estimated parameters?
b0 is our estimate of the hours spent studying when total points earned is zero. b1 is our estimate of the change in hours spent studying for a one point increase in total points earned.b0 is our estimate of the change in total points earned for a one hour increase in time spent studying. b1 is our estimate of the total points earned when the hours spent studying is zero.    b0 is our estimate of the change in hours spent studying for a one point increase in total points earned. b1 is our estimate of the hours spent studying when total points earned is zero.b0 is our estimate of the total points earned when the hours spent studying is zero. b1 is our estimate of the change in total points earned for a one hour increase in time spent studying.
Are these interpretations reasonable?
The interpretation of b0      reasonable and the interpretation of b1      reasonable.
(d)
How much of the variation in the sample values of total points earned (in %) does the model you estimated in part (b) explain? (Round your answer to two decimal places.)
  %
 
 
 
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