你可以用VBA编写回归函数吗
时间: 2023-11-22 15:54:15 浏览: 120
是的,可以使用VBA编写回归函数。以下是一个简单的线性回归函数的例子:
```
Function LinearRegression(x As Range, y As Range) As Variant
Dim n As Integer
Dim i As Integer
Dim sumx As Double
Dim sumy As Double
Dim sumxy As Double
Dim sumx2 As Double
Dim sx As Double
Dim sy As Double
Dim r As Double
Dim b As Double
Dim a As Double
n = x.Rows.Count
For i = 1 To n
sumx = sumx + x(i, 1)
sumy = sumy + y(i, 1)
sumxy = sumxy + x(i, 1) * y(i, 1)
sumx2 = sumx2 + x(i, 1) ^ 2
Next i
sx = Sqr((n * sumx2 - sumx ^ 2) / (n * (n - 1)))
sy = Sqr((n * WorksheetFunction.SumSq(y) - WorksheetFunction.Sum(y) ^ 2) / (n * (n - 1)))
r = (n * sumxy - sumx * sumy) / (Sqr(n * sumx2 - sumx ^ 2) * Sqr(n * WorksheetFunction.SumSq(y) - WorksheetFunction.Sum(y) ^ 2))
b = r * sy / sx
a = WorksheetFunction.Average(y) - b * WorksheetFunction.Average(x)
LinearRegression = Array(a, b, r)
End Function
```
该函数需要两个参数:x和y,分别代表自变量和因变量。函数返回一个包含三个元素的数组:截距,斜率和相关系数。可以将该函数放入VBA代码模块中,并通过Excel公式调用。例如,要在单元格C1中计算x和y的线性回归方程的截距,可以使用以下公式:
`=LinearRegression(A2:A10, B2:B10)(0)`
类似地,要在单元格D1中计算斜率,可以使用以下公式:
`=LinearRegression(A2:A10, B2:B10)(1)`
要在单元格E1中计算相关系数,可以使用以下公式:
`=LinearRegression(A2:A10, B2:B10)(2)`
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