Excel's Formula - sisman

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466 Part V: Miscellaneous <strong>Formula</strong> Techniques Working with nonlinear trendlines Besides linear trendlines, an Excel chart can display trendlines of the following types: Logarithmic: Used when the rate of change in the data increases or decreases quickly, and then flattens out. Power: Used when the data consists of measurements that increase at a specific rate. The data cannot contain zero or negative values. Exponential: Used when data values rise or fall at increasingly higher rates. The data cannot contain zero or negative values. Polynomial: Used when data fluctuates. You can specify the order of the polynomial (from 2 to 6) depending on the number of fluctuations in the data. The Trendline Options tab in the Format Trendline dialog box offers the option of Moving Average, which really isn’t a trendline. This option, however, can be useful for smoothing out “noisy” data. The Moving Average option enables you to specify the number of data points to include in each average. For example, if you select 5, Excel averages every group of five data points, and displays the points on a trendline. Earlier in this chapter, I describe how to calculate the slope and y-intercept for the linear equation that describes a linear trendline. Nonlinear trendlines also have equations, as described in the sections that follow. The companion CD-ROM contains a workbook with the nonlinear trendline examples described in this section. The file is named nonlinear trendlines.xlsx. Logarithmic trendline The equation for a logarithmic trendline is as follows: y = (c * LN(x)) – b Figure 17-27 shows a chart with a logarithmic trendline added. A single array formula in E2:F2 calculates the values for c and b. The formula is {=LINEST(B2:B11,LN(A2:A11))}
Figure 17-27: A chart displaying a logarithmic trendline. Chapter 17: Charting Techniques 467 Column C shows the predicted y values for each value of x, using the calculated values for b and c. For example, the formula in cell C2 is =($E$2*LN(A2))+$F$2 As you can see, a logarithmic trendline does not provide a good fit for this data. The R-square value is low, and the trendline does not match the data. Power trendline The equation for a power trendline looks like this: y = c * x^b
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Excel ® Microsoft 2010 ® Microsof
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Excel® 2010 Formulas Published by
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Publisher’s Acknowledgments We’
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vi Part VII: Appendixes Appendix A:
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viii Keyboard shortcuts . . . . . .
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x Potential Problems with Names . .
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xii Date-Related Functions . . . .
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xiv Working with Tables . . . . . .
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xvi Chapter 13: Financial Schedules
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xviii Creating Links to Cells . . .
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xx Excel’s Auditing Tools . . . .
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xxii Does the text match a pattern?
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1 INTRODUCTION Welcome to Excel 201
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VBA code listings Introduction 3 Do
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Introduction 7 You can also use thi
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Basic Information Chapter 1 Excel i
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Introducing Worksheet Functions In
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Let Excel insert functions for you
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Table 10-1: Excel Rounding Function
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Chapter 14: Introducing Arrays 369
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Figure 14-4: Creating a named array
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PART V Miscellaneous Formula Techni
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Appendixes Appendix A Excel Functio
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770 Index array formulas (continued
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5. Limited Warranty. (a) WPI warran
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