簡單線性回歸解答,答案 Y = a + bX
b = (10*416 - 52*32) / (10*696 - 52^2) = 0
a = 8
答案: Y = 8 + 0 * X
曲線線性回歸解答,答案 Y = AX^2 + BX + C
134688A + 9568B + 696C = 5600
9568A + 696B + 52C = 416
696A + 52B + 4C = 32
答案: Y = 0.5X^2 - 13X + 90
| 項次 | X | Y | X^2 | XY | Y^2 | X^2Y | X^3 | X^4 |
|---|---|---|---|---|---|---|---|---|
| 1 | 10 | 10 | 100 | 100 | 100 | 1000 | 1000 | 10000 |
| 2 | 12 | 6 | 144 | 72 | 36 | 864 | 1728 | 20736 |
| 3 | 14 | 6 | 196 | 84 | 36 | 1176 | 2744 | 38416 |
| 4 | 16 | 10 | 256 | 160 | 100 | 2560 | 4096 | 65536 |
| 合計 | 52 | 32 | 696 | 416 | 272 | 5600 | 9568 | 134688 |