9. A psychologist wants to determine whether there is a relationship between how Tong it takes a subject to complete a manual task and the number of hours of sleep the subject had the night before. The results from a study of 10 people are given in the following table. Hours of sleep 6.2 8.1| 7.5 8.4 4.8 8.0 3.8 5.9 5.0 6.2 Minutes to 9.0 8.6 8.4 8.6 10.0 9.3 9.9 8.9 10.4 9.1 complete task a. Find the linear correlation coefficient for the data. b. On the basis of your answer to part a, is there a strong linear relationship, at the |r| > 0.9 level, between hours of sleep and minutes to complete a task?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 24PFA
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9. A psychologist wants to determine whether there is a relationship between how
long it takes a subject to complete a manual task and the number of hours of sleep
the subject had the night before. The results from a study of 10 people are given in
the following table.
Hours of sleep 6.2 8.1| 7.5
8.4
5.0
6.2 4.8
8.0
3.8
5.9
Minutes to
9.0
8.6 8.4
8.6
10.0
9.3
9.9
8.9
10.4
9.1
complete task
a. Find the linear correlation coefficient for the data.
b. On the basis of your answer to part a, is there a strong linear relationship, at the
r| > 0.9 level, between hours of sleep and minutes to complete a task?
Transcribed Image Text:9. A psychologist wants to determine whether there is a relationship between how long it takes a subject to complete a manual task and the number of hours of sleep the subject had the night before. The results from a study of 10 people are given in the following table. Hours of sleep 6.2 8.1| 7.5 8.4 5.0 6.2 4.8 8.0 3.8 5.9 Minutes to 9.0 8.6 8.4 8.6 10.0 9.3 9.9 8.9 10.4 9.1 complete task a. Find the linear correlation coefficient for the data. b. On the basis of your answer to part a, is there a strong linear relationship, at the r| > 0.9 level, between hours of sleep and minutes to complete a task?
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