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CHAPTER  13     LINEAR REGRESSION AND CURVE FITTING                  305






























                        Figure 13-16. Regression statistics returned by the Regression tool.
                     (folder 'Chapter 13 Examples', workbook 'Dowtherm data', sheet 'Using Regression')


                Limitations of the Regression Tool
                   Unlike  Trendline,  the  Regression  tool  in  Data  Analysis.. . (the  Analysis
                Toolpak) provides the coefficients and statistical parameters of linear regression
                as values in cells, ready to be used  in  calculations.  And, they are presented  in a
                nicely formatted table.  The major limitation of the regression tool is that, unlike
                LINEST, it is not a function.  With  LINEST, the returned values are dynamically
                linked to the original data and are updated if the raw data is changed.  If you use
                the Regression tool, the values are calculated from the raw data and entered into
                worksheet cells; they do not change if you change the input data.

                Importing the Trendline Equation
                from a Chart into a Worksheet
                   Scientists and engineers often use Excel's Trendline feature to obtain a least-
                squares  fit  to  data  in  a  chart.   Trendline  provides  a  limited  gallery  of
                mathematical  fitting functions,  including  regular  polynomials  up  to  order  six.
                The disadvantage of Trendline  is that the trendline equation  is merely  a caption
                in  the  chart;  to  use  it  in  the  worksheet,  the  coefficients  must  be  transferred
                manually  by  typing,  or  copying  and  pasting.  The  utility  TrendlineToCell
                provided on the CD-ROM converts the Trendline equation to an Excel formula
                and transfers the formula to a selected cell on a worksheet.  Figure  13-17 shows
                the VBA code.
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