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igor_vitrenko [27]
3 years ago
5

We expect that students who do well on the midterm exam in a course will usually also do well on the final exam. Gary Smith of P

omona College looked at the exam scores of all 346 students who took his statistics class over a 10-year period. The least-squares line for predicting final-exam score from mid-term exam score was γ=46.6 + 0.41x.
Octavio scores 10 points above the clas mean on the midterm. How many points above the class mean do you predict that he will score on the final. (Hint: what is the predicted final-exam score for the class mean midterm score of x-bar?) This is an example of regression to the mean, the phenomenon that gave "regression" its name: students who do well on the midterm will on average do less well on the final, but still above the class mean.)
Mathematics
1 answer:
dybincka [34]3 years ago
7 0

Using the model equation, the predicted mean score on the final given a score of <em>10 points above the class mean</em> in the mid term exam is 50.7

<u>The Least - Square Regression equation which models the relationship between midterm and final exam score is</u> :

  • γ=46.6 + 0.41x

x = 10 points ; <u>substitute the value of x = 10 into the regression equation</u> ;

γ=46.6 + 0.41(10)

γ=46.6 + 4.1

γ = 50.7

The <em>number of points above the mean</em> he'll score in the final exam is predicted to be 50.7

Learn more :brainly.com/question/18405415

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