簡單線性回歸解答,答案 Y = a + bX
b = (10*420 - 52*29) / (10*696 - 52^2) = 2.15
a = -20.7
答案: Y = -20.7 + 2.15 * X
曲線線性回歸解答,答案 Y = AX^2 + BX + C
134688A + 9568B + 696C = 6168
9568A + 696B + 52C = 420
696A + 52B + 4C = 29
答案: Y = 0.0625X^2 + 0.525X - 10.45
| 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 | 5 | 144 | 60 | 25 | 720 | 1728 | 20736 |
| 3 | 14 | 9 | 196 | 126 | 81 | 1764 | 2744 | 38416 |
| 4 | 16 | 14 | 256 | 224 | 196 | 3584 | 4096 | 65536 |
| 合計 | 52 | 29 | 696 | 420 | 303 | 6168 | 9568 | 134688 |