Yessica thought that there was a correlation between the amount of time students slept the evening before their final exam and their final exam grade. She took an SRS of 5 students in her class and recorded the sleep time the evening before their final exam, and their final exam score. Let the sleep time the evening before the final exam represents the explanatory variable, and the final exam score be the response variable. Below is a sample data set. 1 2 r = 3 4 x (hour) 6 8 5 7 6 5 Calculate the sample correlation coefficient (r) to three decimal places. Why would we expect the correlation coefficient to be positive? There is no change in exam score to sleep time O As the sleep time increases, exam score increases O As the sleep time decreases, exam score increases As the sleep time increases, exam score decreases y (score) 72 100 62 87 73

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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Yessica thought that there was a correlation between the amount of time students slept the evening
before their final exam and their final exam grade. She took an SRS of 5 students in her class and
recorded the sleep time the evening before their final exam, and their final exam score.
Let the sleep time the evening before the final exam represents the explanatory variable, and the
final exam score be the response variable. Below is a sample data set.
1
2
r =
x (hour)
6
8
5
7
6
3
4
5
Calculate the sample correlation coefficient (r) to three decimal places.
Why would we expect the correlation coefficient to be positive?
O There is no change in exam score to sleep time
O As the sleep time increases, exam score increases
As the sleep time decreases, exam score increases
As the sleep time increases, exam score decreases
y (score)
72
100
62
87
73
Transcribed Image Text:Yessica thought that there was a correlation between the amount of time students slept the evening before their final exam and their final exam grade. She took an SRS of 5 students in her class and recorded the sleep time the evening before their final exam, and their final exam score. Let the sleep time the evening before the final exam represents the explanatory variable, and the final exam score be the response variable. Below is a sample data set. 1 2 r = x (hour) 6 8 5 7 6 3 4 5 Calculate the sample correlation coefficient (r) to three decimal places. Why would we expect the correlation coefficient to be positive? O There is no change in exam score to sleep time O As the sleep time increases, exam score increases As the sleep time decreases, exam score increases As the sleep time increases, exam score decreases y (score) 72 100 62 87 73
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