簡單線性回歸解答,答案 Y = a + bX
b = (10*490 - 52*36) / (10*696 - 52^2) = 1.1
a = -5.3
答案: Y = -5.3 + 1.1 * X
曲線線性回歸解答,答案 Y = AX^2 + BX + C
134688A + 9568B + 696C = 6812
9568A + 696B + 52C = 490
696A + 52B + 4C = 36
答案: Y = - 0.375X^2 + 10.85X - 66.8
| 項次 | X | Y | X^2 | XY | Y^2 | X^2Y | X^3 | X^4 |
|---|---|---|---|---|---|---|---|---|
| 1 | 10 | 4 | 100 | 40 | 16 | 400 | 1000 | 10000 |
| 2 | 12 | 10 | 144 | 120 | 100 | 1440 | 1728 | 20736 |
| 3 | 14 | 11 | 196 | 154 | 121 | 2156 | 2744 | 38416 |
| 4 | 16 | 11 | 256 | 176 | 121 | 2816 | 4096 | 65536 |
| 合計 | 52 | 36 | 696 | 490 | 358 | 6812 | 9568 | 134688 |