(a) Of the 4 students who scored less than 500 on the 1st exam, what percent scored higher on the 2nd exam? Enter a whole number. (b) of the 7 students who scored greater than 650 on the 1st exam, what percent scored worse on the 2nd exam? Round the percentage to 1 decimal place. (c) Explain how your answers to parts (a) and (b) illustrate regression to the mean. % %

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 2CYU
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To get extra practice, students in an SAT preparation class took two versions of the SAT math section on the same day.
The scatterplot shows the relationship between scores on the
first practice test and scores on the second practice test.
The line y = x is included on the scatterplot, along with vertical
lines separating the students into three groups based on their
score on the first practice exam.
Second score
800
700
600
500
400
400
600
First score
500
700
800
y = x
Starnes, Tabor & Wilcox, Statistics and Probability with Applications, 4e, 2021 W. H. Freeman and
Transcribed Image Text:To get extra practice, students in an SAT preparation class took two versions of the SAT math section on the same day. The scatterplot shows the relationship between scores on the first practice test and scores on the second practice test. The line y = x is included on the scatterplot, along with vertical lines separating the students into three groups based on their score on the first practice exam. Second score 800 700 600 500 400 400 600 First score 500 700 800 y = x Starnes, Tabor & Wilcox, Statistics and Probability with Applications, 4e, 2021 W. H. Freeman and
5
(a) Of the 4 students who scored less than 500 on the 1st exam, what percent scored higher on the 2nd exam?
Enter a whole number.
(b) of the 7 students who scored greater than 650 on the 1st exam, what percent scored worse on the 2nd exam?
Round the percentage to 1 decimal place.
(c) Explain how your answers to parts (a) and (b) illustrate regression to the mean.
%
%
Transcribed Image Text:5 (a) Of the 4 students who scored less than 500 on the 1st exam, what percent scored higher on the 2nd exam? Enter a whole number. (b) of the 7 students who scored greater than 650 on the 1st exam, what percent scored worse on the 2nd exam? Round the percentage to 1 decimal place. (c) Explain how your answers to parts (a) and (b) illustrate regression to the mean. % %
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