2. An investigator is interested in predicting scores for a measure of cognitive function from the number of hours of sleep a person gets on average. She obtains scores for both the number of hours of sleep and cognitive function from 12 people. Higher scores for cognitive function reflect higher levels of performance. Hours of Cognitive Function Sleep ---- ----- 8.1 5.4 6.1 7.4 100 79 72 62 9.0 122 8.5 6.4 89 76 9.4 8.7 7.6 131 110 92 101 9.3 9.2 115 a) What is the correlation coefficient between the number of hours of sleep and scores on the measure of cognitive function? b) Please provide a scatterplot with the number of hours of sleep on the X-axis and scores for cognitive function on the Y-axis. 414 O54 476 3 2

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2. An investigator is interested in predicting scores for a measure of cognitive function from the number
of hours of sleep a person gets on average. She obtains scores for both the number of hours of
sleep and cognitive function from 12 people. Higher scores for cognitive function reflect higher levels
of performance.
Hours of
Cognitive
Sleep
Function
------
-----
8.1
100
5.4
6.1
7.4
79
72
62
9.0
8.5
6.4
122
89
76
9.4
8.7
7.6
131
110
92
101
9.3
9.2
115
a) What is the correlation coefficient between the number of hours of sleep and scores on the
measure of cognitive function?
b) Please provide a scatterplot with the number of hours of sleep on the X-axis and scores for
cognitive function on the Y-axis.
Transcribed Image Text:2. An investigator is interested in predicting scores for a measure of cognitive function from the number of hours of sleep a person gets on average. She obtains scores for both the number of hours of sleep and cognitive function from 12 people. Higher scores for cognitive function reflect higher levels of performance. Hours of Cognitive Sleep Function ------ ----- 8.1 100 5.4 6.1 7.4 79 72 62 9.0 8.5 6.4 122 89 76 9.4 8.7 7.6 131 110 92 101 9.3 9.2 115 a) What is the correlation coefficient between the number of hours of sleep and scores on the measure of cognitive function? b) Please provide a scatterplot with the number of hours of sleep on the X-axis and scores for cognitive function on the Y-axis.
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