Question

An instructor measured quiz scores and the number of hours studying among a sample of 20 college students. If SSXY = 43, SSX = 98, MY = 6, and MX = 4, then what is the regression equation for this sample? (Round your numerical values to three decimal places.) Y hat = X +

Answer 1

The regression equation for the sample is

Y= 0.430x +0.214

Explanation:

Using the regression formula;

a= (nSSXY - MX MY)/(nSSX -MX^2)

a= (20×43- 4×6)/(20×98 - (4^2))

a= 836/(1960-16)

a= 836/1944

a= 0.430

X bar= summation x / n =4/20= 0.2

Y bar= summation y / n =6/20 = 0.3

b= y bar - a xbar

b= 0.3 - 0.430(0.2)

b= 0.3- 0.086

b= 0.214

The regression equation

Y= ax + b

Y= 0.430x +0.214