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Question Number 10714 by Saham last updated on 23/Feb/17

Given the following information regarding the follwing   distribution :    n = 5,    x^−  = 10,   y^−  = 20,   Σ(x − 4)^2  = 100,  Σ(y − 10)^2  = 160,  Σ(x − 4)(y − 10) = 80  (i)  Find the two regression coefficient and  (ii)  Calculate correlation coefficient

$$\mathrm{Given}\:\mathrm{the}\:\mathrm{following}\:\mathrm{information}\:\mathrm{regarding}\:\mathrm{the}\:\mathrm{follwing}\: \\ $$$$\mathrm{distribution}\::\:\: \\ $$$$\mathrm{n}\:=\:\mathrm{5},\:\:\:\:\overset{−} {\mathrm{x}}\:=\:\mathrm{10},\:\:\:\overset{−} {\mathrm{y}}\:=\:\mathrm{20},\:\:\:\Sigma\left(\mathrm{x}\:−\:\mathrm{4}\right)^{\mathrm{2}} \:=\:\mathrm{100},\:\:\Sigma\left(\mathrm{y}\:−\:\mathrm{10}\right)^{\mathrm{2}} \:=\:\mathrm{160}, \\ $$$$\Sigma\left(\mathrm{x}\:−\:\mathrm{4}\right)\left(\mathrm{y}\:−\:\mathrm{10}\right)\:=\:\mathrm{80} \\ $$$$\left(\mathrm{i}\right) \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{two}\:\mathrm{regression}\:\mathrm{coefficient}\:\mathrm{and} \\ $$$$\left(\mathrm{ii}\right) \\ $$$$\mathrm{Calculate}\:\mathrm{correlation}\:\mathrm{coefficient} \\ $$

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