(1 point) A study was conducted to detemine whether a the final grade of a student in an introductory psychology course is linearly related to his or her performance on the verbal ability test administered before college entrance. The verbal scores and final grades for 1010 students are shown in the table below.
Student | Verbal Score x | Final Grade y |
1 | 26 | 28 |
2 |
58 | 68 |
3 | 34 | 38 |
4 | 63 | 76 |
5 | 35 | 44 |
6 | 58 | 71 |
7 | 67 | 82 |
8 | 51 | 58 |
9 | 40 | 49 |
10 | 71 | 83 |
Find the least squares line.
y^=________+_________x
Should the regression be used to predict the final grade of a
student with a verbal score of 100?
answer:
Using Minitab software, (Stat -> Regression -> Regression -> Fit Regression model), we get the following output :
The estimated least squares line is
The predicted final grade of a student with a verbal score of 100
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