Calculating R Square of an Exponential Function

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To calculate R-squared for an exponential function, a dataset is required alongside the function itself. R-squared measures how well the data fits the chosen model, calculated as one minus the ratio of the sum of squared errors to the total sum of squares around the mean. An example dataset is provided, and the user seeks a manual method for calculation without software. Additionally, the Pearson product moment correlation coefficient can be squared to obtain R-squared. Understanding these concepts is essential for accurately assessing the fit of an exponential model to data.
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Hi there,

I have googled for the R square formula, but it's very confusing, so I need some help. Please come up with an example on how to use it, if I have a exponential function on how i want to calculate its R square.

Thanks:cry:
 
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R^2 is used to gauge the "goodness" of "fit" of a data set to some known function. So you need a data set and a function, you cannot meaningfully speak of R^2[/itex] of a function by itself.
 
If I then have a table of data:

0 2
40 6
80 8
120 12
160 18
200 24
240 42
280 82
320 110
360 190
400 300
440 500
480 800

... and I want to find the R^2, what should I do (I don't want to use software)?
 
Last edited:
google: "Pearson product moment correlation coefficient"

multiply PPMCC by itself for R^2

http://mathbits.com/Mathbits/TISection/Statistics2/correlation.htm

sorry it's 4 years late...
 
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