A history professor hoped to be able to predict final test grades based on the results of midterm exams. He drew on data from a variety of teachers who were all teaching the same course. He was able to get the following information: Midterm Scores (x) 75 55 65 82 88 64 Final Exam Scores (y) 89 65 77 92 90 76   Calculation will make use of the information listed below as well.  Sy = 10.597   Sx = 12.374       x̅  = 71.5         ȳ  = 81.5          r = 0.945 What are the values for each of the following? (1) b  (2) a  (3) If the professor's class received an 88 on the midterm, what do you think the class will get on the final exam?

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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A history professor hoped to be able to predict final test grades based on the results of midterm exams. He drew on data from a variety of teachers who were all teaching the same course. He was able to get the following information:

Midterm Scores (x) 75 55 65 82 88 64
Final Exam Scores (y) 89 65 77 92 90 76

 

Calculation will make use of the information listed below as well. 

Sy = 10.597   Sx = 12.374       x̅  = 71.5         ȳ  = 81.5          r = 0.945

What are the values for each of the following?

(1)

(2)

(3) If the professor's class received an 88 on the midterm, what do you think the class will get on the final exam?

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