A study was conducted to determine whether a 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 10 students are shown in the table below.
Student | Verbal Score xx | Final Grade yy |
1 | 51 | 62 |
2 | 27 | 36 |
3 | 54 | 63 |
4 | 50 | 56 |
55 | 62 | 76 |
66 | 48 | 56 |
7 | 35 | 40 |
8 | 61 | 73 |
9 | 37 | 42 |
10 | 50 | 63 |
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:
We can use here Excel for regression equation
Step 1) Enter data in Excel .
Step 2) Data >>Data analysis >>Regression >>Select y and x values separately >>Ok
y^=0.3339 + 1.1867x
We can't predict the final grade of a student with a verbal score of 100(It is outlier observation)
No
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