簡單線性回歸解答,答案 Y = a + bX
b = (10*482 - 52*36) / (10*696 - 52^2) = 0.7
a = -0.1
答案: Y = -0.1 + 0.7 * X
曲線線性回歸解答,答案 Y = AX^2 + BX + C
134688A + 9568B + 696C = 6668
9568A + 696B + 52C = 482
696A + 52B + 4C = 36
答案: Y = 0.625X^2 - 15.55X + 102.4
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 | 4 | 144 | 48 | 16 | 576 | 1728 | 20736 |
3 | 14 | 9 | 196 | 126 | 81 | 1764 | 2744 | 38416 |
4 | 16 | 13 | 256 | 208 | 169 | 3328 | 4096 | 65536 |
合計 | 52 | 36 | 696 | 482 | 366 | 6668 | 9568 | 134688 |