Question
Calculate the y-intercept of the least-squares regression line for the following data set. x y 59...
Calculate the y-intercept of the least-squares regression line for the following data set.
| x | y |
| 59 | -119 |
| 24 | -35 |
| 50 | -107 |
| 47 | -73 |
| 41 | -78 |
| 72 | -117 |
| 40 | -55 |
Round your answer to two decimal places.
Homework Answers
Answer #1
Solution:
| X | Y | XY | X^2 | Y^2 |
| 59 | -119 | -7021 | 3481 | 14161 |
| 24 | -35 | -840 | 576 | 1225 |
| 50 | -107 | -5350 | 2500 | 11449 |
| 47 | -73 | -3431 | 2209 | 5329 |
| 41 | -78 | -3198 | 1681 | 6084 |
| 72 | -117 | -8424 | 5184 | 13689 |
| 40 | -55 | -2200 | 1600 | 3025 |
| n | 7 |
| sum(XY) | -30464.00 |
| sum(X) | 333.00 |
| sum(Y) | -584.00 |
| sum(X^2) | 17231.00 |
| sum(Y^2) | 54962.00 |
| Numerator | -18776.00 |
| Denominator | 20613.09 |
| r | -0.9109 |
| r square | 0.8297 |
| Xbar(mean) | 47.5714 |
| Ybar(mean) | -83.4286 |
| SD(X) | 14.8483 |
| SD(Y) | 29.7120 |
| b | -1.9301 |
| a | 8.3890 |
The y-intercept of the least-squares regression line is,
a = 8.39
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