Use linear regression to find the equation for the linear function that best fits this data. Round both numbers to two decimal places. Write your final answer in a form of an equation....
...y = mx+b
Homework Answers
Solution :
| X | Y | XY | X^2 | Y^2 |
| 1 | 72 | 72 | 1 | 5184 |
| 2 | 91 | 182 | 4 | 8281 |
| 3 | 125 | 375 | 9 | 15625 |
| 4 | 136 | 544 | 16 | 18496 |
| 5 | 172 | 860 | 25 | 29584 |
| 6 | 194 | 1164 | 36 | 37636 |
| n | 6 |
| sum(XY) | 3197.00 |
| sum(X) | 21.00 |
| sum(Y) | 790.00 |
| sum(X^2) | 91.00 |
| sum(Y^2) | 114806.00 |
| Numerator | 2592.00 |
| Denominator | 2607.16 |
| r | 0.9942 |
| r square | 0.9884 |
| Xbar(mean) | 3.5000 |
| Ybar(mean) | 131.6667 |
| SD(X) | 1.7078 |
| SD(Y) | 42.4055 |
| b | 24.6857 |
| a | 45.2667 |
y = 24.69 x + 45.27
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