Finding correlation between two row matrices

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?

Answer 1

[Abolfazl Chaman Motlagh]

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))

Current plot held