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Buzz Bloom

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I have forgotten how to do a goodness of fit test for the problem below. I have not done this type of problem for several decades, and I hope someone can help me refresh my memory. I looked up the chi-squared test, Student t-test, and Fisher’s exact test on Wikipedia, but I found those articles to not be helpful.

I have 32 data points {x

I fit a curve of the form y = a × x

I then modify the function I am fitting to be y = a × x

What is the proper statistical test to determine if the improved fit is statistically significant?

I have 32 data points {x

_{i}, y_{i}} i= 1:32.I fit a curve of the form y = a × x

^{2}to the data, and the RMS error is 34.8591.I then modify the function I am fitting to be y = a × x

^{b}. The best fit then has an RMS error of 34.7029.What is the proper statistical test to determine if the improved fit is statistically significant?

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