At Charlesburg High School, college-bound seniors who took a standardized colleg

Question

At Charlesburg High School, college-bound seniors who took a standardized college admissions test were sampled. Their mean GPA was 2.33 with standard deviation 0.31. Their mean score on the standardized test was 80.1 with standard deviation 6. The two variables had correlation 0.101. (a) Find the slope of the least-squares line we would use to predict a student's score on the standardized test from their GPA. 1.95484 12.3484 12.4258 16.1419 (b) Find the intercept of the least-squares line. 75.5452 76.3147 19.6942 19.7643 (c) Daisy had a GPA of 3.64 and scored 51 on the test. Find the residual of her score. -31.6608 -8.5383 -5.7517 -1.4972

Explanation / Answer

a)correlation coefficient r =0.101

here slope b1 =r*(sy/sx) =0.101*(6/0.31)=1.95484

b)intercept bo =Ybar-b1*Xbar =(80.1-1.95484*2.33)=75.5452

c)at 3.64 GPA; predicted standardized test score =75.5452+1.95484*3.64=82.6608

therefore residual =51-82.6608=-31.6608

please revert for any clarification required

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