# How to calculate the correlation coefficient between an array and a matrix?

I have a **matrix **A and a matrix B, with the same number of rows and a different number of columns. I need to calculate the correlation coefficient between each single columns of the matrix A and all the columns of the matrix B. For each column of A, the partial result will be an array, so I’m thinking to a matrix as final result.

Is there a way to do this avoiding the “for” cycle? Which is the most efficient way to do this? Could you suggest me the best syntax?

Finally, I have also to do the same with the mean squared error: again, in this second case, is it possible to avoid the “for” cycle?

Thanks for your answers.

# ANSWER

Matlabsolutions.com provide latest MatLab Homework Help,MatLab Assignment Help for students, engineers and researchers in Multiple Branches like ECE, EEE, CSE, Mechanical, Civil with 100% output.Matlab Code for B.E, B.Tech,M.E,M.Tech, Ph.D. Scholars with 100% privacy guaranteed. Get MATLAB projects with source code for your learning and research.

If you have the Statistics and** Machine Learning Toolbox**, it sounds like you want this:

`>> x = randn(20,3);`

>> y = x*[1 0;0 1;1 1];

>> corr(x,y)

ans =

0.9221 -0.1434

-0.2979 0.8438

0.6825 0.5606

I’m not sure what you mean by mean squared error. The following adds some noise to get z, then computes coefficients for predicting y from z, then computes the sum of squared differences between y and the predicted values for each column. Does this point you in the right direction?

**SEE COMPLETE ANSWER CLICK THE LINK**