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Using the properties of determinants prove that $\begin{vmatrix} x+y & x & x \\ 5x+4y & 4x & 2x \\10x+8y & 8x & 3x \end{vmatrix}=x^3$
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The regression equation of X and Y is 3y-5x+108=0. If the mean value of Y is 44 and t
he variance of X were 9/16 th
of the variance of Y. Find the mean value of X and the correlation coefficient.
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