月份x | 1 | 2 | 3 | 4 | 5 | 6 |
人数y | 52 | 61 | 68 | 74 | 78 | 83 |
月份x | 1 | 2 | 3 | 4 | 5 | 6 |
人数y | 52 | 61 | 68 | 74 | 78 | 83 |
解：
设μ=lny,c=lna,则μ=c+bx,由已知
x | 1 | 2 | 3 | 4 | 5 | 6 |
μ=lny | 3.95 | 4.11 | 4.22 | 4.304 | 4.356 7 | 4.418 8 |
=21,
=25.359 5,
=91,
=107.334,
=90.341 3,
=3.5,
=4.226 58,
∴b=
=
=
≈0.09,
c=
-b
=4.226 58-0.09×3.5=3.911 58,∴μ=3.911 58+0.09x.∴y=e3.911 58·e0.09x.
绿色通道
若函数模型为指数型,可两边取对数转化为线性函数关系,求出回归方程.