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Homework Answers
| X | Y | X^2 | Y^2 | XY | |
| 58 | 70.736 | 3364 | 5003.582 | 4102.688 | |
| 80 | 77.636 | 6400 | 6027.348 | 6210.88 | |
| 35 | 62.986 | 1225 | 3967.236 | 2204.51 | |
| 98 | 83.276 | 9604 | 6934.892 | 8161.048 | |
| 81 | 77.806 | 6561 | 6053.774 | 6302.286 | |
| 40 | 64.196 | 1600 | 4121.126 | 2567.84 | |
| 63 | 71.206 | 3969 | 5070.294 | 4485.978 | |
| 78 | 76.296 | 6084 | 5821.08 | 5951.088 | |
| 40 | 64.676 | 1600 | 4182.985 | 2587.04 | |
| 83 | 78.856 | 6889 | 6218.269 | 6545.048 | |
| 42 | 64.776 | 1764 | 4195.93 | 2720.592 | |
| 70 | 73.046 | 4900 | 5335.718 | 5113.22 | |
| Total | 768 | 865.492 | 53960 | 62932.23 | 56952.22 |
we have,
where, a = intercept
and b = slope
Thus,
a = (865.492*53960 - 768*56952.22) / (12*53960 - 768^2) = 51.35
b = (12*56952.22 - 768*865.492) / (12*53960 - 768^2) = 0.32
Thus,
a) slope = b1 = 0.32
b) Intercept = b0 = 51.35
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