Solved: Exercises 23 through 25 refer to the following setting. Do students who read

Chapter 11, Problem 25

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Exercises 23 through 25 refer to the following setting. Do students who read more books for pleasure tend to earn higher grades in English? The boxplots below show data from a simple random sample of 79 students at a large high school. Students were classified as light readers if they read fewer than 3 books for pleasure per year. Otherwise, they were classified as heavy readers. Each student's average English grade for the previous two marking periods was converted to a GPA scale where \(A+=4.3, \ A=4.0, \ A-=3.7, \ B+=3.3\), and so on.  

Reading and grades (3.2) The Fathom scatterplot below shows the number of books read and the English grade for all 79 students in the study. A least-squares regression line has been added to the graph.


(a) Interpret the meaning of the slope and
y intercept in context.


(b) The student who reported reading 17 books for pleasure had an English GPA of 2.85. Find this student's residual and interpret this value in context.

(c) How strong is the relationship between English grades and number of books read? Give appropriate evidence to support your answer.

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