For a certain group of men, the relationship between years of schooling and syst

Question

For a certain group of men, the relationship between years of schooling and systolic blood pressure is linearly correlated with coefficient -0.5. The average education of the men is 11 years with SD 3 years. The average blood pressure is 125 mm with SD 10 mm.

Find the linear regression line for predicting blood pressure from education level(x=education level, y=blood pressure). y= ?

Use the regression line to estimate the blood pressure of the men whose education level are given as follows. education level=15 years, blood pressure= ? mm.

Explanation / Answer

here slope b1= r*Sy/Sx =(-0.5)*10/3=-1.6667

and Intercept b0=Ybar-b1*Xbar =125-(-1.6667)*11=143.3333

hence regression equation Yhat =143.3333-1.6667*x

at x=15 Years predicted  blood pressure= 143.3333-1.6667*15=118.3328

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