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

Answer:

$y = 0.7063x+2.7790$

Step-by-step 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

$a=r*\frac{s_y}{s_x} =0.9344(\frac{1.5613}{2.0656} )\\=0.7063$

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.