Finding correlation between two row matrices

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Reem Almehairbi
Reem Almehairbi on 5 Dec 2021
I have two 1* 6 matrices x and y. I'd like to find the correlation between them. when I use
correlation_coefficients=corrcoef(x,y)
I get a 2*2 matrix with all absolute values close to one. This implies that the relationship between the two variables is a linear relationship. However, the graph obtained when plotting the two variables is that of an exponential decay.
I don't know what I'm doing wrong and are there any alternative codes if the one I'm using is not suitable?
P.s. I'm investigating wither the relationship is linear or not (from the graph it is clearly not) How can I find the R-squared value for such data sets?

Answers (1)

Abolfazl Chaman Motlagh
Abolfazl Chaman Motlagh on 5 Dec 2021
Use fitlm function. it report you the R-squared value. and fit the linear model.
example:
x=1:0.1:10;
y=exp(x);
Fitted_model = fitlm(x,y);
Fitted_model.Rsquared
ans = struct with fields:
Ordinary: 0.5149 Adjusted: 0.5095
plot(x,y);hold;plot(x,Fitted_model.feval(x))
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