Given variables $X$ and $Y$ are positively correlated, if $n$ samples are randomly selected from $X$ and $Y$, respectively, and summed to obtain new variables $X_1$ and $Y_1$, are $X_1$ and $Y_1$ necessarily positively correlated?
2026-03-05 14:28:47.1772720927
correlation of the sums of samples
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