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首先表示一下同情。不过，这学校真这么过分吗？什么都不教就考？
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最小二乘法的原理还是要明白一点的：
在已知有限数量的结果数据对时，推导出最可能的函数匹配。
而事实上，在实际应用过程中大多数情况是先预设了一个可能的函数模型的。
比如说有10对数据，你可以假定它是一个直线模型，也可以假定它是一个弧度较大的抛物线。
由此产生的结果函数自然是天差地远，完全不一致的。
所以，用计算机实现最小二乘法基本都是根据猜测的函数模型而编写相应程序。没通用的！
了解了上面这些，你再看考题就很清楚了：要求你写出两段程序，分别对应两个猜测函数。
这种程度的要求，不应该交给新手去做的。所以我开头说你学校过分。
这个题目太麻烦，我没时间把它实现出来。给你几个链接供你参考吧：
它们都不是这个问题的解答，因为对应的猜测函数是不一样的，提供个思路吧。
'新建窗体，添加text1,command1,picture1
Private Sub Command1_Click()
If Text1.Text = "" Then Exit Sub
Dim x() As Single, y() As Single, cnt As Integer
Dim xmax As Single, xmin As Single, ymax As Single, ymin As Single
Dim p() As String, z() As String
Dim xyh As Single, xh As Single, yh As Single, xph As Single, k As Single, b As Single
p = Split(Text1.Text, "/")
For i = 0 To UBound(p)
If p(i) "" Then
z = Split(p(i), "*")
If UBound(z) = 1 Then
If IsNumeric(z(0)) And IsNumeric(z(1)) Then
If cnt = 0 Then xmax = z(0): xmin = z(0): ymax = z(1): ymin = z(1)
If xmax z(0) Then xmax = z(0)
If xmin z(0) Then xmin = z(0)
If ymax z(1) Then ymax = z(1)
If ymin z(1) Then ymin = z(1)
xyh = xyh + z(0) * z(1): xh = xh + z(0): yh = yh + z(1): xph = xph + z(0) ^ 2
ReDim Preserve x(cnt), y(cnt)
x(cnt) = z(0): y(cnt) = z(1): cnt = cnt + 1
End If
End If
End If
Next
Picture1.Cls
Picture1.DrawWidth = 1
If xmax = xmin And ymax = ymin Then
MsgBox "单点无法拟合"
ElseIf xmax = xmin Then
Picture1.Scale (xmin * 0.5, ymax + 0.2 * (ymax - ymin))-(xmin * 1.5, ymin - 0.2 * (ymax - ymin))
zuobiaozhou xmin * 0.5, ymax + 0.2 * (ymax - ymin), xmin * 1.5, ymin - 0.2 * (ymax - ymin)
Picture1.Line (xmax, ymax + 0.2 * (ymax - ymin))-(xmax, ymin - 0.2 * (ymax - ymin)), vbBlue
ElseIf ymax = ymin Then
Picture1.Scale (xmin - 0.2 * (xmax - xmin), ymax * 1.5)-(xmax + 0.2 * (xmax - xmin), ymin * 0.5)
zuobiaozhou xmin - 0.2 * (xmax - xmin), ymax * 1.5, xmax + 0.2 * (xmax - xmin), ymin * 0.5
Picture1.Line (xmin - 0.2 * (xmax - xmin), ymax)-(xmax + 0.2 * (xmax - xmin), ymax), vbBlue
Else
Picture1.Scale (xmin - 0.2 * (xmax - xmin), ymax + 0.2 * (ymax - ymin))-(xmax + 0.2 * (xmax - xmin), ymin - 0.2 * (ymax - ymin))
zuobiaozhou xmin - 0.2 * (xmax - xmin), ymax + 0.2 * (ymax - ymin), xmax + 0.2 * (xmax - xmin), ymin - 0.2 * (ymax - ymin)
k = (xyh - (xh * yh) / cnt) / (xph - xh ^ 2 / cnt)
b = yh / cnt - k * xh / cnt
Picture1.Line (xmin - 0.2 * (xmax - xmin), k * (xmin - 0.2 * (xmax - xmin)) + b)-(xmax + 0.2 * (xmax - xmin), k * (xmax + 0.2 * (xmax - xmin)) + b), vbBlue
End If
Picture1.DrawWidth = 5
For i = 0 To cnt - 1
Picture1.PSet (x(i), y(i)), vbRed
Next
Text1.SetFocus
End Sub
Private Sub Form_Activate()
Text1.SetFocus
End Sub
Private Sub Form_Load()
Text1.Text = ""
Text1.ToolTipText = "横纵坐标间以乘号*分隔，各点间以除号/分隔。例如：100*100/200*200"
Command1.Caption = "绘图"
Picture1.AutoRedraw = True
End Sub
Private Sub Text1_KeyPress(KeyAscii As Integer)
If Not (IsNumeric(Chr(KeyAscii)) Or KeyAscii = 8 Or KeyAscii = 42 Or KeyAscii = 45 Or KeyAscii = 46 Or KeyAscii = 47) Then KeyAscii = 0
End Sub
Function zuobiaozhou(ByVal x1 As Single, y1 As Single, x2 As Single, y2 As Single)
For i = x1 + (x2 - x1) / 5 To x2 Step (x2 - x1) / 5
Picture1.Line (i, y2 + 100 * (y1 - y2) / Picture1.Height)-(i, y2)
Picture1.CurrentX = i - 250 * (x2 - x1) / Picture1.Width
Picture1.CurrentY = y2 + 350 * (y1 - y2) / Picture1.Height
Picture1.Print i
Next
For i = y2 + (y1 - y2) / 5 To y1 Step (y1 - y2) / 5
Picture1.Line (x1, i)-(x1 + 100 * (x2 - x1) / Picture1.Width, i)
Picture1.CurrentX = x1 + 150 * (x2 - x1) / Picture1.Width
Picture1.CurrentY = i + 80 * (y1 - y2) / Picture1.Height
Picture1.Print i
Next
End Function
稍等好吗？
好了，但愿没有耽误你！代码如下（注意不用任何控件即可）：
Private Sub Form_click()
Dim N As Integer, U() As Double, I As Integer
Dim A As Single, B As Single
Form1.Cls
Print "数据：";
N = Val(InputBox("原始数据个数", "输入", 7))
If N = 1 Then Exit Sub
ReDim U(4, N)
Print "共"; N; "组："
For I = 1 To N
U(1, I) = Val(InputBox("自变量 X 的值：", "第一组", I))
U(2, I) = Val(InputBox("因变量 Y 的值：", "第一组", I * 5))
U(3, I) = U(1, I) * U(2, I)
U(4, I) = U(1, I) ^ 2
Print "x("; I; ") = "; U(1, I); " y("; I; ") = "; U(2, I)
U(1, 0) = U(1, 0) + U(1, I)
U(2, 0) = U(2, 0) + U(2, I)
U(3, 0) = U(3, 0) + U(3, I)
U(4, 0) = U(4, 0) + U(4, I)
Next I
U(1, 0) = U(1, 0) / N
U(2, 0) = U(2, 0) / N
B = (U(3, 0) - N * U(1, 0) * U(2, 0)) / (U(4, 0) - N * U(1, 0) ^ 2)
A = U(2, 0) - B * U(1, 0)
Print "拟合公式为："
Print " y = "; A;
If B = 0 Then Print " + ";
Print B; "x"
End Sub
Private Sub Form_Load()
Form1.AutoRedraw = True
Form1.Caption = "最小二乘法拟合程序"
Print "本程序执行的顺序为："
Print "1、输入数据数量；"
Print "3、逐个输入各组数据；"
Print "2、输出拟合公式。"
Print "特别说明：本程序不用任何控件！只要把窗口拉的足够大就行了。"
Form1.Print "单击窗体开始..."
End Sub
已经运行过。