We derived the least-squares estimate of the slope in two different forms. Show that it...

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We derived the least-squares estimate of the slope ₁ in two different forms. Show that it can also be written as where r = is the Pearson's correlation coefficient, Sx are the means. 1 n-1. n are the standard deviations, and i=1 1 ΤΗΣ (9(5) n-1 Sx Sy B₁ X = n 1 Syr. Sx i=1 (x₁ - x)² and. = Sy n x-12-²9-1 xi and y = n. 1 n-1. n i=1 Yi n i=1 (y₁ - y)² We derived the least-squares estimate of the slope ₁ in two different forms. Show that it can also be written as where r = is the Pearson's correlation coefficient, Sx are the means. 1 n-1. n are the standard deviations, and i=1 1 ΤΗΣ (9(5) n-1 Sx Sy B₁ X = n 1 Syr. Sx i=1 (x₁ - x)² and. = Sy n x-12-²9-1 xi and y = n. 1 n-1. n i=1 Yi n i=1 (y₁ - y)²

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To show that the leastsquares estimate of the slope can be written as B1 r SySx we ca... View the full answer