A mathematics placement test is given to all entering freshmen at Eastern
University. n = 55, ̄x = 4, ̄y = 12, "\\sum"ni=1 xi2=232, "\\sum"ni=1 xiyi=318 .Fit a simple
linear regression model between x and y
Regression equation: "y=a+bx."
"b=\\frac{\\Sigma xy}{\\Sigma x^2}=\n\\frac{318}{232}=1.3707."
"a=\\bar y-b\\bar x=12-1.3707*4=6.5172."
Thus, the regression equation is "y=6.5172+1.3797x."
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