An instructor measured quiz scores and the number of hours studying among a sample of 20 college students. If SSXY = 43, SSX = 9
8, 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 +
1 answer:
Answer:
The regression equation for the sample is
Y= 0.430x +0.214
Step-by-step 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
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