We expect that students who do well on the midterm exam in acourse will usually

Question

We expect that students who do well on the midterm exam in acourse will usually also do well on the final exam. Gary Smith ofPomona College looked at the exam scores of all 346 students whotook his statistics class over a 10-year period. The least-squaresline for predicting final exam score from midterm-exam score was y= 46.6 + 0.41x. Octavio scores 10 points above the class mean on the midterm.How many points above the class mean do you predict that he willscore on the final? This is an example of the phenomenon that gave“regression” its name: students who do well on themidterm will on the average do less well, but still above average,on the final. Please help, I don't know how to approach this problem. Thank you very much. We expect that students who do well on the midterm exam in acourse will usually also do well on the final exam. Gary Smith ofPomona College looked at the exam scores of all 346 students whotook his statistics class over a 10-year period. The least-squaresline for predicting final exam score from midterm-exam score was y= 46.6 + 0.41x. Octavio scores 10 points above the class mean on the midterm.How many points above the class mean do you predict that he willscore on the final? This is an example of the phenomenon that gave“regression” its name: students who do well on themidterm will on the average do less well, but still above average,on the final. Please help, I don't know how to approach this problem. Thank you very much. We expect that students who do well on the midterm exam in acourse will usually also do well on the final exam. Gary Smith ofPomona College looked at the exam scores of all 346 students whotook his statistics class over a 10-year period. The least-squaresline for predicting final exam score from midterm-exam score was y= 46.6 + 0.41x. Octavio scores 10 points above the class mean on the midterm.How many points above the class mean do you predict that he willscore on the final? This is an example of the phenomenon that gave“regression” its name: students who do well on themidterm will on the average do less well, but still above average,on the final.

Explanation / Answer

since mean is not given lets consider mean = m Octavio's score = m+10 our regression equation is, y = 46.6 + 0.41x in the present case x = m+10. substituting the values in the equation we will get octavio'sscore in fnal. y = 46.6 + 0.41(m+10)

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