Question
Based on the data shown below, calculate the regression line (each value to two decimal places)...
Based on the data shown below, calculate the regression line
(each value to two decimal places)
y = x +
| x | y |
|---|---|
| 3 | 29.25 |
| 4 | 25.42 |
| 5 | 22.49 |
| 6 | 17.96 |
| 7 | 17.33 |
| 8 | 12.2 |
Homework Answers
Answer #1
Solution :
| X | Y | XY | X^2 | Y^2 |
| 3 | 29.25 | 87.75 | 9 | 855.5625 |
| 4 | 25.42 | 101.68 | 16 | 646.1764 |
| 5 | 22.49 | 112.45 | 25 | 505.8001 |
| 6 | 17.96 | 107.76 | 36 | 322.5616 |
| 7 | 17.33 | 121.31 | 49 | 300.3289 |
| 8 | 12.2 | 97.6 | 64 | 148.84 |
| n | 6 |
| sum(XY) | 628.55 |
| sum(X) | 33.00 |
| sum(Y) | 124.65 |
| sum(X^2) | 199.00 |
| sum(Y^2) | 2779.27 |
| Numerator | -342.15 |
| Denominator | 345.67 |
| r | -0.9898 |
| r square | 0.9797 |
| Xbar(mean) | 5.5000 |
| Ybar(mean) | 20.7750 |
| SD(X) | 1.7078 |
| SD(Y) | 5.6224 |
| b | -3.2586 |
| a | 38.6971 |
y = -3.26 X + 38.70
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