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#1
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Is there a way to use the formula and the line of best fit to plot a point on
the line using the y-value of an unknown in order to find the precise location of the x-value? |
#2
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Knowing y doesn't make it easy to find an unique x. Effectively, one
has invert the function y=f(x) to get x=g(y). Except in a few cases such as a linear function, that will not lead to a unique solution. For example, the simple y=x^2 yields 2 x values for any given positive y. That said, you can get the equation of a line into a XL worksheet range. Dave Braden has posted code that I enhanced to do just that. Search the google.com archives of the XL NGs. You can also directly get the equation of the line of best fit. See Trendline coefficients http://www.tushar-mehta.com/excel/ti...efficients.htm Finally, for a readymade solution that gives you the result in an interactive fashion see Interactive Chart http://www.tushar- mehta.com/excel/software/interactive_chart_display/index.html -- Regards, Tushar Mehta www.tushar-mehta.com Multi-disciplinary business expertise + Technology skills = Optimal solution to your business problem Recipient Microsoft MVP award 2000-2005 In article , says... Is there a way to use the formula and the line of best fit to plot a point on the line using the y-value of an unknown in order to find the precise location of the x-value? |
#3
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For a linear or quadratic, inverting y=f(x) is simple algebra. Cubic or
quartic polynomials are not as simple, but http://mathforum.org/dr.math/faq/faq...equations.html should get you started. There is no general algebraic solution to higher order polynomials, and no requirement that there be a closed form inverse of a general function. Given the functional relationship, you can numerically invert at a given point using Solver. If your "best fit" line is the smoothed line connecting the points instead of a least squares trendline, then Excel appears to use cubic splines for smoothing. Jerry Sara Beaver wrote: Is there a way to use the formula and the line of best fit to plot a point on the line using the y-value of an unknown in order to find the precise location of the x-value? |
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