RosettaCodeData/Task/Multiple-regression/QB64/multiple-regression.qb64

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Const N = 14, M = 2, Q = 3 ' number of points and M.R. polynom degree
Dim X(N) As Double ' data points
Data 1.47,1.50,1.52,1.55,1.57,1.60,1.63,1.65,1.68,1.70,1.73,1.75,1.78,1.80,1.83
For c = LBound(X) To UBound(X)
Read X(c)
Next c
Dim As Double Y(N) ' data points
Data 52.21,53.12,54.48,55.84,57.20,58.57,59.93,61.29,63.11,64.47,66.28,68.10,69.92,72.19,74.46
For c = LBound(Y) To UBound(Y)
Read Y(c)
Next c
Dim As Double S(N), T(N) ' linear system coefficient
Dim As Double A(M, Q) ' system to be solved
Dim As Integer i, k, j, fila, columna
Dim As Double z
For k = 0 To 2 * M
S(k) = 0: T(k) = 0
For i = 0 To N
S(k) = S(k) + X(i) ^ k
If k <= M Then T(k) = T(k) + Y(i) * X(i) ^ k
Next i
Next k
' build linear system
For fila = 0 To M
For columna = 0 To M
A(fila, columna) = S(fila + columna)
Next columna
A(fila, columna) = T(fila)
Next fila
Print "Linear system coefficents:"
For i = 0 To M
For j = 0 To M + 1
Print Using "######.#"; A(i, j);
Next j
Print
Next i
For j = 0 To M
For i = j To M
If A(i, j) <> 0 Then Exit For
Next i
If i = M + 1 Then
Print: Print "SINGULAR MATRIX '"
End
End If
For k = 0 To M + 1
Swap A(j, k), A(i, k)
Next k
z = 1 / A(j, j)
For k = 0 To M + 1
A(j, k) = z * A(j, k)
Next k
For i = 0 To M
If i <> j Then
z = -A(i, j)
For k = 0 To M + 1
A(i, k) = A(i, k) + z * A(j, k)
Next k
End If
Next i
Next j
Print: Print "Solutions:"
For i = 0 To M
Print Using " #####.#######"; A(i, M + 1);
Next i
End