Question

Given that x overbarequals3.6667​, s Subscript xequals2.0656​, y overbarequals4.2167​, s Subscript yequals1.5613​, and requalsnegative 0.9344​, determine the​ least-squares regression line.

Answer 1

`y = 0.7063x+2.7790`

Explanation:

Given that

`x bar = 3.6667\\s_x= 2.0656\\y bar = 4.2167\\s_7 = 1.5613\\r = -0.9344`

We have slope of linear regression line is

`a=r*(s_y)/(s_x) =0.9344((1.5613)/(2.0656) )\\=0.7063`

So regression line would be of the form

`y-4.2167 = 0.7063(x-2.0656)` (since it passes through xbar, y bar)

`y = 0.7063x+2.7790`

is the equation of regression line.