MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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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