10 students report the number of hours of sleep they had the night before a test X. The info below reports the results and the answers correctly are shown as Y
Student | Hours Sleep (X) | No. Correct (Y) |
1 | 3 | 5 |
2 | 1 | 4 |
3 | 5 | 13 |
4 | 6 | 15 |
5 | 1 | 3 |
6 | 2 | 6 |
7 | 4 | 10 |
8 | 3 | 11 |
9 | 3 | 9 |
10 | 5 | 11 |
A) calculate the y-intercept of the regression line for these data. a) 2.18 b) 8.7 c) 1.505 d) 1.2816 e) 0 f) 4.02
B) calculate the slope of the regression line for the data. a) .92 b) .85 c) 2.18 d) 1.51 e) 4.02 f) 2.45
C) What is the predicted number of questions correct for someone who only got 4 hours of sleep? a) 12.91 b) 10.23 c) 10.0 d) 9.75 e) 8.7 f) 10.81
D) what is the t-statistic for testing the significance of the slope? a) 2.18 b) 10.2 c) 6.71 d) .92 e) 1.31 f) 8.33
Do comment for any doubts.
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