by Adapted From a few versions (1 Submission)
Category: Math/Dates
Compatability: VB 6.0
Difficulty: Unknown Difficulty
Originally Published: Tue 17th April 2001
Date Added: Mon 8th February 2021
Rating: 
(1 Votes)
Linear Regression - Give the function two arrays of data and it will return the equation for the line of best fit. You can then adapt the code
VBcoders
'------------------------------------------------------
' Many thanks to Dr. Thomas Meinike for this code
' Source http://www.basicworld.com/vbplus/tt170898
'------------------------------------------------------
' Mat Berry April 2001 - the guy that did this originally
' did not have it quite right. N was counting 2 too many which
' causes problems with small data sets. It now calcs the same
' formula as MS Excel.
'------------------------------------------------------
Dim sx As Double
Dim sy As Double
Dim SZ As Double
Dim s2 As Double
Dim s3 As Double
Dim i As Integer
Dim a As Double
Dim b As Double
Dim r As Double
Dim N As Integer
N = UBound(x())
sx = 0: sy = 0: s2 = 0: s3 = 0: SZ = 0
For i = 0 To N - 1
sx = sx + x(i)
sy = sy + y(i)
SZ = SZ + x(i) * y(i)
s2 = s2 + x(i) * x(i)
s3 = s3 + y(i) * y(i)
Next i
b = (N * SZ - sx * sy) / (N * s2 - sx * sx)
a = (sy - b * sx) / N
r = Abs((N * SZ - sx * sy) / ((N * s2 - (sx * sx)) * (N * s3 - (sy * sy))) ^ (1 / 2))
If b < 0 Then r = (-r)
If a > 0 Then
Regression_Linear = "y = " & b & "x + " & a & vbCrLf & "r^2 = " & r
Else
Regression_Linear = "y = " & b & "x" & a & vbCrLf & "r^2 = " & r
End If
End Function
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