簡單線性回歸解答,答案 Y = a + bX
b = (10*386 - 52*28) / (10*696 - 52^2) = 1.1
a = -7.3
答案: Y = -7.3 + 1.1 * X
曲線線性回歸解答,答案 Y = AX^2 + BX + C
134688A + 9568B + 696C = 5492
9568A + 696B + 52C = 386
696A + 52B + 4C = 28
答案: Y = 0.75X^2 - 18.4X + 115.7
| 項次 | X | Y | X^2 | XY | Y^2 | X^2Y | X^3 | X^4 | 
|---|---|---|---|---|---|---|---|---|
| 1 | 10 | 7 | 100 | 70 | 49 | 700 | 1000 | 10000 | 
| 2 | 12 | 2 | 144 | 24 | 4 | 288 | 1728 | 20736 | 
| 3 | 14 | 6 | 196 | 84 | 36 | 1176 | 2744 | 38416 | 
| 4 | 16 | 13 | 256 | 208 | 169 | 3328 | 4096 | 65536 | 
| 合計 | 52 | 28 | 696 | 386 | 258 | 5492 | 9568 | 134688 |