Word Count : 336

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Let's solve this step by step carefully. The question asks for the coefficient of correlation and the standard deviation of $Y$, given: $$ X = 0.854 Y, \quad Y = 0.89 X, \quad \sigma_X = 3 $$ We are solving this under Business Mathematics and Statistics concepts. --- ### Step 1: Relationship between correlation and regression coefficients We know the regression equations: 1. $X$ on $Y$: $X = 0.854 Y$ Here, the regression coefficient of $X$ on $Y$ is: $$ b_{XY} = 0.854 $$ ________ ______ __________ ____ ________ _____ ____ ________.
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