簡單線性回歸解答,答案 Y = a + bX
b = (10*384 - 52*27) / (10*696 - 52^2) = 1.65
a = -14.7
答案: Y = -14.7 + 1.65 * X
曲線線性回歸解答,答案 Y = AX^2 + BX + C
134688A + 9568B + 696C = 5560
9568A + 696B + 52C = 384
696A + 52B + 4C = 27
答案: Y = 0.0625X^2 + 0.025X - 4.45
| 項次 | X | Y | X^2 | XY | Y^2 | X^2Y | X^3 | X^4 |
|---|---|---|---|---|---|---|---|---|
| 1 | 10 | 1 | 100 | 10 | 1 | 100 | 1000 | 10000 |
| 2 | 12 | 8 | 144 | 96 | 64 | 1152 | 1728 | 20736 |
| 3 | 14 | 5 | 196 | 70 | 25 | 980 | 2744 | 38416 |
| 4 | 16 | 13 | 256 | 208 | 169 | 3328 | 4096 | 65536 |
| 合計 | 52 | 27 | 696 | 384 | 259 | 5560 | 9568 | 134688 |