Question
Consider the data: X - 1 3 5 7 9 11...
Consider the data:
X - 1 3 5 7
9 11 13 15
Y - 6 14 2 20 10 18 26 22
(c) Obtain the equation of the regression line for these data
Homework Answers
Answer #1
Solution :
| X | Y | XY | X^2 | Y^2 |
| 1 | 6 | 6 | 1 | 36 |
| 3 | 14 | 42 | 9 | 196 |
| 5 | 2 | 10 | 25 | 4 |
| 7 | 20 | 140 | 49 | 400 |
| 9 | 10 | 90 | 81 | 100 |
| 11 | 18 | 198 | 121 | 324 |
| 13 | 26 | 338 | 169 | 676 |
| 15 | 22 | 330 | 225 | 484 |
| n | 8 |
| sum(XY) | 1154.00 |
| sum(X) | 64.00 |
| sum(Y) | 118.00 |
| sum(X^2) | 680.00 |
| sum(Y^2) | 2220.00 |
| Numerator | 1680.00 |
| Denominator | 2270.59 |
| r | 0.7399 |
| r square | 0.5474 |
| Xbar(mean) | 8.0000 |
| Ybar(mean) | 14.7500 |
| SD(X) | 3.4157 |
| SD(Y) | 6.3683 |
| b | 1.2500 |
| a | 4.7500 |
The equation of regression line,
= a + bx
= 4.75 + 1.25x
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