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Consider n = 5 pairs (x! ,y, , . . . , (xt, y,). Let x = n-ı Σ i , and y = n-ı Σ -1 y be the sample means of the x and y variables. Let & and Sy be the corresponding standard deviations. Let sry and rry be the sample covariance and sample correlation respective . Suppose x = 6.2,J = 8 8 2.95, sy4.494, sy 13.05. Part a) What is the sample correlation of the (x,y)? For parts (b) to (e), consider a linearly transformed variable 42x for i -1,. Part b) What is x? ,n. Part c) What is sx. Part d) What is the sample covariance of the (xt,y)? Part e) What is the sample correlation of the (,yi)? Part f Consider a quadratic transformed variable x**-4 + 2·x; + xí for-1, . . . , n. As above n = 5, x = 6.2 and sr-295. What is x , the sample mean of the transformed variable?

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