Data Visualizationhard
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In a scatter plot of N=100N=100 points, the variable XX has mean Xˉ=10\bar{X}=10 and variance sX2=16s_X^2 = 16. The variable YY has mean Yˉ=20\bar{Y}=20 and variance sY2=25s_Y^2 = 25. The covariance Cov(X,Y)=12Cov(X, Y) = 12. If we perform a transformation U=2X+5U = 2X + 5 and V=Y+3V = -Y + 3, what is the correlation coefficient rUVr_{UV}?