簡單線性回歸解答,答案 Y = a + bX
b = (10*258 - 52*17) / (10*696 - 52^2) = 1.85
a = -19.8
答案: Y = -19.8 + 1.85 * X
曲線線性回歸解答,答案 Y = AX^2 + BX + C
134688A + 9568B + 696C = 3940
9568A + 696B + 52C = 258
696A + 52B + 4C = 17
答案: Y = 0.3125X^2 - 6.275X + 31.45
項次 | X | Y | X^2 | XY | Y^2 | X^2Y | X^3 | X^4 |
---|---|---|---|---|---|---|---|---|
1 | 10 | 0 | 100 | 0 | 0 | 0 | 1000 | 10000 |
2 | 12 | 1 | 144 | 12 | 1 | 144 | 1728 | 20736 |
3 | 14 | 5 | 196 | 70 | 25 | 980 | 2744 | 38416 |
4 | 16 | 11 | 256 | 176 | 121 | 2816 | 4096 | 65536 |
合計 | 52 | 17 | 696 | 258 | 147 | 3940 | 9568 | 134688 |