School administrators wondered whether class size and grade achievement (in percent) were related. A random sample of classes revealed the following data. Number of Students 15 10 8 20 18 6 Average Grades (%) 85 90 82 80 84 92 1. Calculate the linear correlation coefficient (Round all answers to TWO decimal places) 2. Calculate the coefficient of determination (Round all answers to TWO decimal places) 3.The linear regression equation is y = x + (Round all answers to TWO decimal places) 4. Using your regression equation, what would you expect the average grade (%) to be in a class with 30 students? % (Round all answers to TWO decimal places)

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter4: Linear Functions
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School administrators wondered whether class size and grade achievement (in percent) were related. A random sample of classes revealed the following data.

Number of Students 15 10 8 20 18 6
Average Grades (%) 85 90 82 80 84 92

1. Calculate the linear correlation coefficient   (Round all answers to TWO decimal places)

2. Calculate the coefficient of determination (Round all answers to TWO decimal places)

3.The linear regression equation is

y = x +   (Round all answers to TWO decimal places)

4. Using your regression equation, what would you expect the average grade (%) to be in a class with 30 students? % (Round all answers to TWO decimal places)

 

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