# How to compute R-squared value

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Kanakaiah Jakkula on 24 Jun 2016
Commented: Star Strider on 25 Jun 2016
Hi,
I have the below matrix, and I want to compute correlation coeficient and R2(R-squared value), I used "corrcoef" function to get correlation coefficients, but I dont any find any function like this to compute R2.Can any one help me how to compute R2.
my example: A=rand(10,10) [R,P,RLO,RUP]=corrcoef(A).

Star Strider on 24 Jun 2016
Computing R-squared for a regression is straightforward.
See for example the Wikipedia article on the Coefficient of determination .
Star Strider on 25 Jun 2016
You are doing a simple correlation, not a regression, so the correlation coefficient using the corrcoef function is appropriate for your data:
A = [0.1622 0.6020 0.4505 0.8258 0.1067
0.7943 0.2630 0.0838 0.5383 0.9619
0.3112 0.6541 0.2290 0.9961 0.0046
0.5285 0.6892 0.9133 0.0782 0.7749
0.1656 0.7482 0.1524 0.4427 0.8173];
[R,P,RLO,RUP]=corrcoef(A);
Note that while ‘P’, ‘RLO’, and ‘RUP’ are calculated correctly, from a statistical perspective, the main diagonals of all of them should be 0, not 1.
If you have the Statistics and Machine Learning Toolbox, you can also use the corr function. Since I do not know the details of what you are doing, you will have to choose the appropriate function.
The results I get from corr are exactly the same that corrcoef returns.
If you want to do a regression on your data, develop a model for it and post it back here. From it we can calculate an R-squared value. The R-suqared statistic is used as one measure to assess the ‘goodness-of-fit’ of a regression model to the data.

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