簡單線性回歸解答,答案 Y = a + bX
b = (10*526 - 52*39) / (10*696 - 52^2) = 0.95
a = -2.6
答案: Y = -2.6 + 0.95 * X
曲線線性回歸解答,答案 Y = AX^2 + BX + C
134688A + 9568B + 696C = 7300
9568A + 696B + 52C = 526
696A + 52B + 4C = 39
答案: Y = 0.3125X^2 - 7.175X + 48.65
項次 | X | Y | X^2 | XY | Y^2 | X^2Y | X^3 | X^4 |
---|---|---|---|---|---|---|---|---|
1 | 10 | 8 | 100 | 80 | 64 | 800 | 1000 | 10000 |
2 | 12 | 8 | 144 | 96 | 64 | 1152 | 1728 | 20736 |
3 | 14 | 9 | 196 | 126 | 81 | 1764 | 2744 | 38416 |
4 | 16 | 14 | 256 | 224 | 196 | 3584 | 4096 | 65536 |
合計 | 52 | 39 | 696 | 526 | 405 | 7300 | 9568 | 134688 |