Imagine a study where all our data (x, y) falls perfectly on a flat and straight horizontal line. If we calculated the correlation coefficient r for this data, what would it be? What would that mean for our hypotheses?

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Imagine a study where all our data (x, y) falls perfectly on a flat and straight horizontal line. If we calculated the correlation coefficient r for this data, what would it be? What would that mean for our hypotheses?

The following data set was collected by Campus Life. They are investigating the possibility of a
relations between students' time spent studying each week (in hours) and how much time they dedicate
to campus life activities each week (in hours). In this table, each "ID" represents a single student.
Student
X-
Y - Activities
ID
Studying
1
6
10
2
3
5
3
1
2
4
4
13
5
4
7
8
15
7
4
7
8
9
3
4
12
10
7
16
Mean
5.0
9.0
Std. Dev
2.5
5.0
Transcribed Image Text:The following data set was collected by Campus Life. They are investigating the possibility of a relations between students' time spent studying each week (in hours) and how much time they dedicate to campus life activities each week (in hours). In this table, each "ID" represents a single student. Student X- Y - Activities ID Studying 1 6 10 2 3 5 3 1 2 4 4 13 5 4 7 8 15 7 4 7 8 9 3 4 12 10 7 16 Mean 5.0 9.0 Std. Dev 2.5 5.0
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