用VBNET设计一个程序用数组中的数据计算一元二次回归方程

以下是使用VB.NET设计的计算一元二次回归方程程序：

Public Class Form1

    Private Sub Button1_Click(sender As Object, e As EventArgs) Handles Button1.Click
        '获取输入数据
        Dim x() As Double = {1, 2, 3, 4, 5}
        Dim y() As Double = {2.1, 3.9, 6.1, 8.2, 10.1}

        '计算平均值
        Dim x_mean As Double = x.Average()
        Dim y_mean As Double = y.Average()

        '计算偏差值
        Dim dev_x As Double() = x.Select(Function(xi) xi - x_mean).ToArray()
        Dim dev_y As Double() = y.Select(Function(yi) yi - y_mean).ToArray()

        '计算平方和
        Dim ss_x As Double = dev_x.Select(Function(xi) xi ^ 2).Sum()
        Dim ss_y As Double = dev_y.Select(Function(yi) yi ^ 2).Sum()
        Dim ss_xy As Double = x.Select(Function(xi, i) xi * dev_y(i)).Sum()

        '计算回归系数
        Dim b As Double = ss_xy / ss_x
        Dim a As Double = y_mean - b * x_mean

        '输出回归方程
        TextBox1.Text = "y = " & FormatNumber(a, 2) & " + " & FormatNumber(b, 2) & "x"
    End Sub

End Class

这个程序使用了一个按钮控件来触发计算操作。在按钮的Click事件中，我们先定义了一个输入数据数组x和y。然后计算了x和y的平均值，以及x和y与其平均值的偏差值。接着计算了平方和ss_x、ss_y和ss_xy。最后，根据回归方程的公式计算了回归系数b和a，并将其输出到一个文本框控件中