Answer to Question #241428 in Statistics and Probability for Reyad

Question #241428

A mathematics placement test is given to all entering freshmen at Eastern

University. n = 55,  ̄x = 4, ̄y = 12, \sumni=1 xi2=232, \sumni=1 xiyi=318 .Fit a simple

linear regression model between x and y


1
Expert's answer
2021-09-27T03:15:09-0400

Regression equation: y=a+bx.y=a+bx.

b=ΣxyΣx2=318232=1.3707.b=\frac{\Sigma xy}{\Sigma x^2}= \frac{318}{232}=1.3707.

a=yˉbxˉ=121.37074=6.5172.a=\bar y-b\bar x=12-1.3707*4=6.5172.

Thus, the regression equation is y=6.5172+1.3797x.y=6.5172+1.3797x.


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