ChartDirector 6.2 (.NET Edition)

Confidence Band




This example demonstrates adding confidence bands to a trend line. It also demonstrates how to display linear regression parameters on the chart.

In linear regression, the data points are assumed to be related by:

y = m * x + c + err

where m and c are constants, and err is a random variable. Linear regression estimates m, c and err based on available data.

As m and c are estimated values, the trend line y = m * x + c may be inaccurate. In ChartDirector, the uncertainties can be represented as a confidence band using TrendLayer.addConfidenceBand. For example, the 95% confidence band means there are 95% probability that the "real" trend line is in that band.

To predict a data point (infer y given x), we use y = m * x + c + err. As m, c and err are estimated values, the predicted data point may be inaccurate. In ChartDirector, the uncertainties can be represented as a prediction band using TrendLayer.addPredictionBand.

Note that the prediction band is always wider than the confidence band because of the extra uncertainties contributed by the err term.

In ChartDirector, the linear regression parameters slope, intercept, correlation coefficient and standard error can be obtained by using TrendLayer.getSlope, TrendLayer.getIntercept, TrendLayer.getCorrelation and TrendLayer.getStdError. (Please refer to appropriate statistics text books for explanation of these values.)

In this example, the linear regression parameters are formatted into a table using CDML, which is then added to the chart as custom text box using BaseChart.addText.

Source Code Listing

[Windows Forms - C# version] NetWinCharts\CSharpWinCharts\confidenceband.cs
using System;
using ChartDirector;

namespace CSharpChartExplorer
{
    public class confidenceband : DemoModule
    {
        //Name of demo module
        public string getName() { return "Confidence Band"; }

        //Number of charts produced in this demo module
        public int getNoOfCharts() { return 1; }

        //Main code for creating chart.
        //Note: the argument chartIndex is unused because this demo only has 1 chart.
        public void createChart(WinChartViewer viewer, int chartIndex)
        {
            // The XY data of the first data series
            double[] dataX = {50, 55, 37, 24, 42, 49, 63, 72, 83, 59};
            double[] dataY = {3.6, 2.8, 2.5, 2.3, 3.8, 3.0, 3.8, 5.0, 6.0, 3.3};

            // Create a XYChart object of size 450 x 420 pixels
            XYChart c = new XYChart(450, 420);

            // Set the plotarea at (55, 65) and of size 350 x 300 pixels, with white background and
            // a light grey border (0xc0c0c0). Turn on both horizontal and vertical grid lines with
            // light grey color (0xc0c0c0)
            c.setPlotArea(55, 65, 350, 300, 0xffffff, -1, 0xc0c0c0, 0xc0c0c0, -1);

            // Add a title to the chart using 18 point Times Bold Itatic font.
            c.addTitle("Server Performance", "Times New Roman Bold Italic", 18);

            // Add titles to the axes using 12pt Arial Bold Italic font
            c.yAxis().setTitle("Response Time (sec)", "Arial Bold Italic", 12);
            c.xAxis().setTitle("Server Load (TPS)", "Arial Bold Italic", 12);

            // Set the axes line width to 3 pixels
            c.yAxis().setWidth(3);
            c.xAxis().setWidth(3);

            // Add a scatter layer using (dataX, dataY)
            ScatterLayer scatterLayer = c.addScatterLayer(dataX, dataY, "", Chart.DiamondSymbol, 11,
                0x008000);

            // tool tip for scatter layer
            scatterLayer.setHTMLImageMap("", "", "title='Response time at {x} TPS: {value} sec'");

            // Add a trend line layer for (dataX, dataY)
            TrendLayer trendLayer = c.addTrendLayer2(dataX, dataY, 0x008000);

            // Set the line width to 3 pixels
            trendLayer.setLineWidth(3);

            // Add a 95% confidence band for the line
            trendLayer.addConfidenceBand(0.95, unchecked((int)0x806666ff));

            // Add a 95% confidence band (prediction band) for the points
            trendLayer.addPredictionBand(0.95, unchecked((int)0x8066ff66));

            // tool tip for trend layer
            trendLayer.setHTMLImageMap("", "",
                "title='Slope = {slope|4} sec/TPS; Intercept = {intercept|4} sec'");

            // Add a legend box at (50, 30) (top of the chart) with horizontal layout. Use 10pt
            // Arial Bold Italic font. Set the background and border color to Transparent.
            LegendBox legendBox = c.addLegend(50, 30, false, "Arial Bold Italic", 10);
            legendBox.setBackground(Chart.Transparent);

            // Add entries to the legend box
            legendBox.addKey("95% Line Confidence", unchecked((int)0x806666ff));
            legendBox.addKey("95% Point Confidence", unchecked((int)0x8066ff66));

            // Display the trend line parameters as a text table formatted using CDML
            ChartDirector.TextBox textbox = c.addText(56, 65, String.Format(
                "<*block*>Slope\nIntercept\nCorrelation\nStd Error<*/*>   <*block*>{0:0.0000} " +
                "sec/tps\n{1:0.0000} sec\n{2:0.0000}\n{3:0.0000} sec<*/*>", trendLayer.getSlope(),
                trendLayer.getIntercept(), trendLayer.getCorrelation(), trendLayer.getStdError()),
                "Arial Bold", 8);

            // Set the background of the text box to light grey, with a black border, and 1 pixel 3D
            // border
            textbox.setBackground(0xc0c0c0, 0, 1);

            // Output the chart
            viewer.Chart = c;

            // include tool tip for the chart
            viewer.ImageMap = c.getHTMLImageMap("clickable");
        }
    }
}

[Windows Forms - VB Version] NetWinCharts\VBNetWinCharts\confidenceband.vb
Imports System
Imports Microsoft.VisualBasic
Imports ChartDirector

Public Class confidenceband
    Implements DemoModule

    'Name of demo module
    Public Function getName() As String Implements DemoModule.getName
        Return "Confidence Band"
    End Function

    'Number of charts produced in this demo module
    Public Function getNoOfCharts() As Integer Implements DemoModule.getNoOfCharts
        Return 1
    End Function

    'Main code for creating chart.
    'Note: the argument chartIndex is unused because this demo only has 1 chart.
    Public Sub createChart(viewer As WinChartViewer, chartIndex As Integer) _
        Implements DemoModule.createChart

        ' The XY data of the first data series
        Dim dataX() As Double = {50, 55, 37, 24, 42, 49, 63, 72, 83, 59}
        Dim dataY() As Double = {3.6, 2.8, 2.5, 2.3, 3.8, 3.0, 3.8, 5.0, 6.0, 3.3}

        ' Create a XYChart object of size 450 x 420 pixels
        Dim c As XYChart = New XYChart(450, 420)

        ' Set the plotarea at (55, 65) and of size 350 x 300 pixels, with white background and a
        ' light grey border (0xc0c0c0). Turn on both horizontal and vertical grid lines with light
        ' grey color (0xc0c0c0)
        c.setPlotArea(55, 65, 350, 300, &Hffffff, -1, &Hc0c0c0, &Hc0c0c0, -1)

        ' Add a title to the chart using 18 point Times Bold Itatic font.
        c.addTitle("Server Performance", "Times New Roman Bold Italic", 18)

        ' Add titles to the axes using 12pt Arial Bold Italic font
        c.yAxis().setTitle("Response Time (sec)", "Arial Bold Italic", 12)
        c.xAxis().setTitle("Server Load (TPS)", "Arial Bold Italic", 12)

        ' Set the axes line width to 3 pixels
        c.yAxis().setWidth(3)
        c.xAxis().setWidth(3)

        ' Add a scatter layer using (dataX, dataY)
        Dim scatterLayer As ScatterLayer = c.addScatterLayer(dataX, dataY, "", _
            Chart.DiamondSymbol, 11, &H008000)

        ' tool tip for scatter layer
        scatterLayer.setHTMLImageMap("", "", "title='Response time at {x} TPS: {value} sec'")

        ' Add a trend line layer for (dataX, dataY)
        Dim trendLayer As TrendLayer = c.addTrendLayer2(dataX, dataY, &H008000)

        ' Set the line width to 3 pixels
        trendLayer.setLineWidth(3)

        ' Add a 95% confidence band for the line
        trendLayer.addConfidenceBand(0.95, &H806666ff)

        ' Add a 95% confidence band (prediction band) for the points
        trendLayer.addPredictionBand(0.95, &H8066ff66)

        ' tool tip for trend layer
        trendLayer.setHTMLImageMap("", "", _
            "title='Slope = {slope|4} sec/TPS; Intercept = {intercept|4} sec'")

        ' Add a legend box at (50, 30) (top of the chart) with horizontal layout. Use 10pt Arial
        ' Bold Italic font. Set the background and border color to Transparent.
        Dim legendBox As LegendBox = c.addLegend(50, 30, False, "Arial Bold Italic", 10)
        legendBox.setBackground(Chart.Transparent)

        ' Add entries to the legend box
        legendBox.addKey("95% Line Confidence", &H806666ff)
        legendBox.addKey("95% Point Confidence", &H8066ff66)

        ' Display the trend line parameters as a text table formatted using CDML
        Dim textbox As ChartDirector.TextBox = c.addText(56, 65, _
            "<*block*>Slope<*br*>Intercept<*br*>Correlation<*br*>Std Error<*/*>   <*block*>" & _
            FormatNumber(trendLayer.getSlope(), 4) & " sec/tps<*br*>" & FormatNumber( _
            trendLayer.getIntercept(), 4) & " sec<*br*>" & FormatNumber(trendLayer.getCorrelation( _
            ), 4) & "<*br*>" & FormatNumber(trendLayer.getStdError(), 4) & " sec<*/*>", _
            "Arial Bold", 8)

        ' Set the background of the text box to light grey, with a black border, and 1 pixel 3D
        ' border
        textbox.setBackground(&Hc0c0c0, 0, 1)

        ' Output the chart
        viewer.Chart = c

        ' include tool tip for the chart
        viewer.ImageMap = c.getHTMLImageMap("clickable")

    End Sub

End Class

[WPF - C#] NetWPFCharts\confidenceband.cs
using System;
using ChartDirector;

namespace CSharpWPFDemo
{
    public class confidenceband : DemoModule
    {
        //Name of demo module
        public string getName() { return "Confidence Band"; }

        //Number of charts produced in this demo module
        public int getNoOfCharts() { return 1; }

        //Main code for creating chart.
        //Note: the argument chartIndex is unused because this demo only has 1 chart.
        public void createChart(WPFChartViewer viewer, int chartIndex)
        {
            // The XY data of the first data series
            double[] dataX = {50, 55, 37, 24, 42, 49, 63, 72, 83, 59};
            double[] dataY = {3.6, 2.8, 2.5, 2.3, 3.8, 3.0, 3.8, 5.0, 6.0, 3.3};

            // Create a XYChart object of size 450 x 420 pixels
            XYChart c = new XYChart(450, 420);

            // Set the plotarea at (55, 65) and of size 350 x 300 pixels, with white background and
            // a light grey border (0xc0c0c0). Turn on both horizontal and vertical grid lines with
            // light grey color (0xc0c0c0)
            c.setPlotArea(55, 65, 350, 300, 0xffffff, -1, 0xc0c0c0, 0xc0c0c0, -1);

            // Add a title to the chart using 18 point Times Bold Itatic font.
            c.addTitle("Server Performance", "Times New Roman Bold Italic", 18);

            // Add titles to the axes using 12pt Arial Bold Italic font
            c.yAxis().setTitle("Response Time (sec)", "Arial Bold Italic", 12);
            c.xAxis().setTitle("Server Load (TPS)", "Arial Bold Italic", 12);

            // Set the axes line width to 3 pixels
            c.yAxis().setWidth(3);
            c.xAxis().setWidth(3);

            // Add a scatter layer using (dataX, dataY)
            ScatterLayer scatterLayer = c.addScatterLayer(dataX, dataY, "", Chart.DiamondSymbol, 11,
                0x008000);

            // tool tip for scatter layer
            scatterLayer.setHTMLImageMap("", "", "title='Response time at {x} TPS: {value} sec'");

            // Add a trend line layer for (dataX, dataY)
            TrendLayer trendLayer = c.addTrendLayer2(dataX, dataY, 0x008000);

            // Set the line width to 3 pixels
            trendLayer.setLineWidth(3);

            // Add a 95% confidence band for the line
            trendLayer.addConfidenceBand(0.95, unchecked((int)0x806666ff));

            // Add a 95% confidence band (prediction band) for the points
            trendLayer.addPredictionBand(0.95, unchecked((int)0x8066ff66));

            // tool tip for trend layer
            trendLayer.setHTMLImageMap("", "",
                "title='Slope = {slope|4} sec/TPS; Intercept = {intercept|4} sec'");

            // Add a legend box at (50, 30) (top of the chart) with horizontal layout. Use 10pt
            // Arial Bold Italic font. Set the background and border color to Transparent.
            LegendBox legendBox = c.addLegend(50, 30, false, "Arial Bold Italic", 10);
            legendBox.setBackground(Chart.Transparent);

            // Add entries to the legend box
            legendBox.addKey("95% Line Confidence", unchecked((int)0x806666ff));
            legendBox.addKey("95% Point Confidence", unchecked((int)0x8066ff66));

            // Display the trend line parameters as a text table formatted using CDML
            ChartDirector.TextBox textbox = c.addText(56, 65, String.Format(
                "<*block*>Slope\nIntercept\nCorrelation\nStd Error<*/*>   <*block*>{0:0.0000} " +
                "sec/tps\n{1:0.0000} sec\n{2:0.0000}\n{3:0.0000} sec<*/*>", trendLayer.getSlope(),
                trendLayer.getIntercept(), trendLayer.getCorrelation(), trendLayer.getStdError()),
                "Arial Bold", 8);

            // Set the background of the text box to light grey, with a black border, and 1 pixel 3D
            // border
            textbox.setBackground(0xc0c0c0, 0, 1);

            // Output the chart
            viewer.Chart = c;

            // include tool tip for the chart
            viewer.ImageMap = c.getHTMLImageMap("clickable");
        }
    }
}

[ASP.NET Web Forms - C# version] NetWebCharts\CSharpASP\confidenceband.aspx
(Click here on how to convert this code to code-behind style.)
<%@ Page Language="C#" Debug="true" %>
<%@ Import Namespace="ChartDirector" %>
<%@ Register TagPrefix="chart" Namespace="ChartDirector" Assembly="netchartdir" %>

<!DOCTYPE html>

<script runat="server">

//
// Page Load event handler
//
protected void Page_Load(object sender, EventArgs e)
{
    // The XY data of the first data series
    double[] dataX = {50, 55, 37, 24, 42, 49, 63, 72, 83, 59};
    double[] dataY = {3.6, 2.8, 2.5, 2.3, 3.8, 3.0, 3.8, 5.0, 6.0, 3.3};

    // Create a XYChart object of size 450 x 420 pixels
    XYChart c = new XYChart(450, 420);

    // Set the plotarea at (55, 65) and of size 350 x 300 pixels, with white background and a light
    // grey border (0xc0c0c0). Turn on both horizontal and vertical grid lines with light grey color
    // (0xc0c0c0)
    c.setPlotArea(55, 65, 350, 300, 0xffffff, -1, 0xc0c0c0, 0xc0c0c0, -1);

    // Add a title to the chart using 18 point Times Bold Itatic font.
    c.addTitle("Server Performance", "Times New Roman Bold Italic", 18);

    // Add titles to the axes using 12pt Arial Bold Italic font
    c.yAxis().setTitle("Response Time (sec)", "Arial Bold Italic", 12);
    c.xAxis().setTitle("Server Load (TPS)", "Arial Bold Italic", 12);

    // Set the axes line width to 3 pixels
    c.yAxis().setWidth(3);
    c.xAxis().setWidth(3);

    // Add a scatter layer using (dataX, dataY)
    ScatterLayer scatterLayer = c.addScatterLayer(dataX, dataY, "", Chart.DiamondSymbol, 11,
        0x008000);

    // tool tip for scatter layer
    scatterLayer.setHTMLImageMap("", "", "title='Response time at {x} TPS: {value} sec'");

    // Add a trend line layer for (dataX, dataY)
    TrendLayer trendLayer = c.addTrendLayer2(dataX, dataY, 0x008000);

    // Set the line width to 3 pixels
    trendLayer.setLineWidth(3);

    // Add a 95% confidence band for the line
    trendLayer.addConfidenceBand(0.95, unchecked((int)0x806666ff));

    // Add a 95% confidence band (prediction band) for the points
    trendLayer.addPredictionBand(0.95, unchecked((int)0x8066ff66));

    // tool tip for trend layer
    trendLayer.setHTMLImageMap("", "",
        "title='Slope = {slope|4} sec/TPS; Intercept = {intercept|4} sec'");

    // Add a legend box at (50, 30) (top of the chart) with horizontal layout. Use 10pt Arial Bold
    // Italic font. Set the background and border color to Transparent.
    LegendBox legendBox = c.addLegend(50, 30, false, "Arial Bold Italic", 10);
    legendBox.setBackground(Chart.Transparent);

    // Add entries to the legend box
    legendBox.addKey("95% Line Confidence", unchecked((int)0x806666ff));
    legendBox.addKey("95% Point Confidence", unchecked((int)0x8066ff66));

    // Display the trend line parameters as a text table formatted using CDML
    ChartDirector.TextBox textbox = c.addText(56, 65, String.Format(
        "<*block*>Slope\nIntercept\nCorrelation\nStd Error<*/*>   <*block*>{0:0.0000} sec/tps\n" +
        "{1:0.0000} sec\n{2:0.0000}\n{3:0.0000} sec<*/*>", trendLayer.getSlope(),
        trendLayer.getIntercept(), trendLayer.getCorrelation(), trendLayer.getStdError()),
        "Arial Bold", 8);

    // Set the background of the text box to light grey, with a black border, and 1 pixel 3D border
    textbox.setBackground(0xc0c0c0, 0, 1);

    // Output the chart
    WebChartViewer1.Image = c.makeWebImage(Chart.PNG);

    // include tool tip for the chart
    WebChartViewer1.ImageMap = c.getHTMLImageMap("");
}

</script>

<html>
<body>
    <chart:WebChartViewer id="WebChartViewer1" runat="server" />
</body>
</html>

[ASP.NET Web Forms - VB Version] NetWebCharts\VBNetASP\confidenceband.aspx
(Click here on how to convert this code to code-behind style.)
<%@ Page Language="VB" Debug="true" %>
<%@ Import Namespace="ChartDirector" %>
<%@ Register TagPrefix="chart" Namespace="ChartDirector" Assembly="netchartdir" %>

<!DOCTYPE html>

<script runat="server">

'
' Page Load event handler
'
Protected Sub Page_Load(ByVal sender As System.Object, ByVal e As System.EventArgs)

    ' The XY data of the first data series
    Dim dataX() As Double = {50, 55, 37, 24, 42, 49, 63, 72, 83, 59}
    Dim dataY() As Double = {3.6, 2.8, 2.5, 2.3, 3.8, 3.0, 3.8, 5.0, 6.0, 3.3}

    ' Create a XYChart object of size 450 x 420 pixels
    Dim c As XYChart = New XYChart(450, 420)

    ' Set the plotarea at (55, 65) and of size 350 x 300 pixels, with white background and a light
    ' grey border (0xc0c0c0). Turn on both horizontal and vertical grid lines with light grey color
    ' (0xc0c0c0)
    c.setPlotArea(55, 65, 350, 300, &Hffffff, -1, &Hc0c0c0, &Hc0c0c0, -1)

    ' Add a title to the chart using 18 point Times Bold Itatic font.
    c.addTitle("Server Performance", "Times New Roman Bold Italic", 18)

    ' Add titles to the axes using 12pt Arial Bold Italic font
    c.yAxis().setTitle("Response Time (sec)", "Arial Bold Italic", 12)
    c.xAxis().setTitle("Server Load (TPS)", "Arial Bold Italic", 12)

    ' Set the axes line width to 3 pixels
    c.yAxis().setWidth(3)
    c.xAxis().setWidth(3)

    ' Add a scatter layer using (dataX, dataY)
    Dim scatterLayer As ScatterLayer = c.addScatterLayer(dataX, dataY, "", Chart.DiamondSymbol, _
        11, &H008000)

    ' tool tip for scatter layer
    scatterLayer.setHTMLImageMap("", "", "title='Response time at {x} TPS: {value} sec'")

    ' Add a trend line layer for (dataX, dataY)
    Dim trendLayer As TrendLayer = c.addTrendLayer2(dataX, dataY, &H008000)

    ' Set the line width to 3 pixels
    trendLayer.setLineWidth(3)

    ' Add a 95% confidence band for the line
    trendLayer.addConfidenceBand(0.95, &H806666ff)

    ' Add a 95% confidence band (prediction band) for the points
    trendLayer.addPredictionBand(0.95, &H8066ff66)

    ' tool tip for trend layer
    trendLayer.setHTMLImageMap("", "", _
        "title='Slope = {slope|4} sec/TPS; Intercept = {intercept|4} sec'")

    ' Add a legend box at (50, 30) (top of the chart) with horizontal layout. Use 10pt Arial Bold
    ' Italic font. Set the background and border color to Transparent.
    Dim legendBox As LegendBox = c.addLegend(50, 30, False, "Arial Bold Italic", 10)
    legendBox.setBackground(Chart.Transparent)

    ' Add entries to the legend box
    legendBox.addKey("95% Line Confidence", &H806666ff)
    legendBox.addKey("95% Point Confidence", &H8066ff66)

    ' Display the trend line parameters as a text table formatted using CDML
    Dim textbox As ChartDirector.TextBox = c.addText(56, 65, _
        "<*block*>Slope<*br*>Intercept<*br*>Correlation<*br*>Std Error<*/*>   <*block*>" & _
        FormatNumber(trendLayer.getSlope(), 4) & " sec/tps<*br*>" & FormatNumber( _
        trendLayer.getIntercept(), 4) & " sec<*br*>" & FormatNumber(trendLayer.getCorrelation(), 4 _
        ) & "<*br*>" & FormatNumber(trendLayer.getStdError(), 4) & " sec<*/*>", "Arial Bold", 8)

    ' Set the background of the text box to light grey, with a black border, and 1 pixel 3D border
    textbox.setBackground(&Hc0c0c0, 0, 1)

    ' Output the chart
    WebChartViewer1.Image = c.makeWebImage(Chart.PNG)

    ' include tool tip for the chart
    WebChartViewer1.ImageMap = c.getHTMLImageMap("")

End Sub

</script>

<html>
<body>
    <chart:WebChartViewer id="WebChartViewer1" runat="server" />
</body>
</html>

[ASP.NET MVC - Controller] NetMvcCharts\Controllers\ConfidencebandController.cs
using System;
using System.Web.Mvc;
using ChartDirector;

namespace NetMvcCharts.Controllers
{
    public class ConfidencebandController : Controller
    {
        //
        // Default Action
        //
        public ActionResult Index()
        {
            ViewBag.Title = "Confidence Band";
            createChart(ViewBag.Viewer = new RazorChartViewer(HttpContext, "chart1"));
            return View("~/Views/Shared/ChartView.cshtml");
        }

        //
        // Create chart
        //
        private void createChart(RazorChartViewer viewer)
        {
            // The XY data of the first data series
            double[] dataX = {50, 55, 37, 24, 42, 49, 63, 72, 83, 59};
            double[] dataY = {3.6, 2.8, 2.5, 2.3, 3.8, 3.0, 3.8, 5.0, 6.0, 3.3};

            // Create a XYChart object of size 450 x 420 pixels
            XYChart c = new XYChart(450, 420);

            // Set the plotarea at (55, 65) and of size 350 x 300 pixels, with white background and a
            // light grey border (0xc0c0c0). Turn on both horizontal and vertical grid lines with light
            // grey color (0xc0c0c0)
            c.setPlotArea(55, 65, 350, 300, 0xffffff, -1, 0xc0c0c0, 0xc0c0c0, -1);

            // Add a title to the chart using 18 point Times Bold Itatic font.
            c.addTitle("Server Performance", "Times New Roman Bold Italic", 18);

            // Add titles to the axes using 12pt Arial Bold Italic font
            c.yAxis().setTitle("Response Time (sec)", "Arial Bold Italic", 12);
            c.xAxis().setTitle("Server Load (TPS)", "Arial Bold Italic", 12);

            // Set the axes line width to 3 pixels
            c.yAxis().setWidth(3);
            c.xAxis().setWidth(3);

            // Add a scatter layer using (dataX, dataY)
            ScatterLayer scatterLayer = c.addScatterLayer(dataX, dataY, "", Chart.DiamondSymbol, 11,
                0x008000);

            // tool tip for scatter layer
            scatterLayer.setHTMLImageMap("", "", "title='Response time at {x} TPS: {value} sec'");

            // Add a trend line layer for (dataX, dataY)
            TrendLayer trendLayer = c.addTrendLayer2(dataX, dataY, 0x008000);

            // Set the line width to 3 pixels
            trendLayer.setLineWidth(3);

            // Add a 95% confidence band for the line
            trendLayer.addConfidenceBand(0.95, unchecked((int)0x806666ff));

            // Add a 95% confidence band (prediction band) for the points
            trendLayer.addPredictionBand(0.95, unchecked((int)0x8066ff66));

            // tool tip for trend layer
            trendLayer.setHTMLImageMap("", "",
                "title='Slope = {slope|4} sec/TPS; Intercept = {intercept|4} sec'");

            // Add a legend box at (50, 30) (top of the chart) with horizontal layout. Use 10pt Arial
            // Bold Italic font. Set the background and border color to Transparent.
            LegendBox legendBox = c.addLegend(50, 30, false, "Arial Bold Italic", 10);
            legendBox.setBackground(Chart.Transparent);

            // Add entries to the legend box
            legendBox.addKey("95% Line Confidence", unchecked((int)0x806666ff));
            legendBox.addKey("95% Point Confidence", unchecked((int)0x8066ff66));

            // Display the trend line parameters as a text table formatted using CDML
            ChartDirector.TextBox textbox = c.addText(56, 65, String.Format(
                "<*block*>Slope\nIntercept\nCorrelation\nStd Error<*/*>   <*block*>{0:0.0000} " +
                "sec/tps\n{1:0.0000} sec\n{2:0.0000}\n{3:0.0000} sec<*/*>", trendLayer.getSlope(),
                trendLayer.getIntercept(), trendLayer.getCorrelation(), trendLayer.getStdError()),
                "Arial Bold", 8);

            // Set the background of the text box to light grey, with a black border, and 1 pixel 3D
            // border
            textbox.setBackground(0xc0c0c0, 0, 1);

            // Output the chart
            viewer.Image = c.makeWebImage(Chart.PNG);

            // include tool tip for the chart
            viewer.ImageMap = c.getHTMLImageMap("");
        }
    }
}

[ASP.NET MVC - View] NetMvcCharts\Views\Shared\ChartView.cshtml
@{ Layout = null; }

<!DOCTYPE html>

<html>
<head>
    <meta name="viewport" content="width=device-width" />
    <title>@ViewBag.Title</title>
</head>
<body style="margin:5px 0px 0px 5px">
    <div style="font:bold 18pt verdana;">
        @ViewBag.Title
    </div>
    <hr style="border:solid 1px #000080" />
    <div>
        @{
            if (ViewBag.Viewer is Array)
            {
                // Display multiple charts
                for (int i = 0; i < ViewBag.Viewer.Length; ++i)
                {
                    @:@Html.Raw(ViewBag.Viewer[i].RenderHTML())
                }
            }
            else
            {
                // Display one chart only
                @:@Html.Raw(ViewBag.Viewer.RenderHTML())
            }
        }
    </div>
</body>
</html>