A researcher wants to investigate the relationship between the hours a student spends studying for a test and the score on the test. The following data is gathered: Hours (x) 20 16 34 23 27 32 18 22 Score (y) 6.5 8.5 7 9.5 7.5 (X-X)(Y-F) | (x-X)? Annual (X-X) salary, $1000 Years of (Y-Ÿ) (Y-F)² schooling 20 6.5 -4 -1.25 5 16 1.5625 16 6. -8 -1.75 14 64 3.0625 34 8.5 10 0.75 7.5 100 0.5625 23 7 -1 -0.75 0.75 1 0.5625 27 9 3 1.25 3.75 9. 1.5625 32 9.5 8. 1.75 14 64 3.0625 7.5 -6 -0.25 1.5 36 0.0625 22 8 -2 0.25 -0.5 4 0.0625 192 62 46 294 10.5 Calculate: a. The regression line of y based on x. b. The estimated test score for a person who studied 28 hours. m NN 0
A researcher wants to investigate the relationship between the hours a student spends studying for a test and the score on the test. The following data is gathered: Hours (x) 20 16 34 23 27 32 18 22 Score (y) 6.5 8.5 7 9.5 7.5 (X-X)(Y-F) | (x-X)? Annual (X-X) salary, $1000 Years of (Y-Ÿ) (Y-F)² schooling 20 6.5 -4 -1.25 5 16 1.5625 16 6. -8 -1.75 14 64 3.0625 34 8.5 10 0.75 7.5 100 0.5625 23 7 -1 -0.75 0.75 1 0.5625 27 9 3 1.25 3.75 9. 1.5625 32 9.5 8. 1.75 14 64 3.0625 7.5 -6 -0.25 1.5 36 0.0625 22 8 -2 0.25 -0.5 4 0.0625 192 62 46 294 10.5 Calculate: a. The regression line of y based on x. b. The estimated test score for a person who studied 28 hours. m NN 0
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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
Transcribed Image Text:A researcher is investigating the relationship between the hours a student spends studying for a test (x) and their score on the test (y). The data collected is as follows:
| Hours (x) | 20 | 16 | 34 | 23 | 27 | 32 | 18 | 22 |
|-----------|---|---|---|---|---|---|---|---|
| Score (y) | 6.5 | 6 | 8.5 | 7 | 9 | 9.5 | 7.5 | 8 |
Additionally, the following calculations are provided in the table:
| Years of schooling | Annual salary, $1000 | (X-̄X̄) | (Y-̄Ȳ) | (X-̄X̄)(Y-̄Ȳ) | (X-̄X̄)² | (Y-̄Ȳ)² |
|--------------------|-------------------|------|------|--------------|--------|--------|
| 20 | 6.5 | -4 | -1.25| 5 | 16 | 1.5625 |
| 16 | 6 | -8 | -1.75| 14 | 64 | 3.0625 |
| 34 | 8.5 | 10 | 0.75 | 7.5 | 100 | 0.5625 |
| 23 | 7 | -1 | -0.75| 0.75 | 1 | 0.5625 |
| 27 | 9 | 3 | 1.25 | 3.75 | 9 | 1.5625 |
| 32 | 9.5 | 8 | 1.75 | 14 | 64 | 3.0625 |
| 18 | 7.5 | -6 | -0.25| 1.5 | 36 | 0.0625 |
| 22 | 8 | -2 | 0.25 | -0.5 | 4 | 0.0625 |
| **Total**
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