In: Statistics and Probability
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 xx | Final Grade yy |
1 | 60 | 75 |
2 | 37 | 42 |
3 | 70 | 86 |
4 | 71 | 81 |
5 | 42 | 47 |
6 | 26 | 30 |
7 | 69 | 83 |
8 | 66 | 82 |
9 | 56 | 64 |
10 | 72 | 89 |
Find the least squares line.
y^=?
Should the regression be used to predict the final grade of a
student with a verbal score of 100?
answer:
since final grade cannot be greater than 100 so, the regression cannot be used to predict the final grade of a student with a verbal score of 100