Calculate the correlation coefficient ρ of a two-dimensional discrete random vector (X, Y) with only a finite number of values, and the obtained for the correlation coefficient ρ Mathematical expectations of X and YE(X),E(Y)，variance is D(X),D(Y)，标准差σ_X,σ_Y</su

In the input box below, enter three sets of data separated by two "|" characters. Each real number of each set of data is separated by a comma. These real numbers can be entered as fractions, for example, 2/3 represents three points. Second, you can also enter in decimal form.

The first set of data is all possible values for X is x₁,x₂,...,x_n，The second set of data is Y all possible values are y₁,y₂,...,y_m，The third set of data is (X,Y) probability of all possible pairs of values p₁₁,p₁₂,...,p_1n, p₂₁,p₂₂,...,p_2n,...p_m1,p_m2,...,p_mn。

Click the "Start Calculation" button after entering the data and you will get the desired calculation result.

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