Participant ID 1 2 3 4 5 6 7 Weekdays Exercise (min) 40 80 75 60 45 90 55 Sleep (hours) 7 9 8 7 8 7 6 Weekends Exercise (min) 65 45 75 80 50 20 35 Sleep (hours) 7 8 6 9 7 9 8

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The table below records the minutes of exercise per day and hours of sleep during weekdays and weekends in a research study. (use n=7, keep one decimal place

  1. Find out the correlation coefficient between hours spent on exercise and hours of sleep during weekdays and weekends, respectively. Show your work.
  2. On what days (weekdays or weekends), hours spent on exercise is more strongly correlated with hours of sleep? Why? 
  3. The same group of participants all decided to extend 20 minutes of exercise everyday during weekdays and double the amount of their exercise time on the weekend. However, they found out their sleep time still remained the same. Calculate the new correlation coefficients for both groups and explain how it differs from the previous schedule.
Participant ID
1
2
3
4
5
6
7
Weekdays
Exercise
(min)
40
80
75
60
45
90
55
Sleep
(hours)
7
9
8
7
8
7
6
Weekends
Exercise
(min)
65
45
75
80
50
20
35
Sleep
(hours)
7
8
6
9
7
9
8
Transcribed Image Text:Participant ID 1 2 3 4 5 6 7 Weekdays Exercise (min) 40 80 75 60 45 90 55 Sleep (hours) 7 9 8 7 8 7 6 Weekends Exercise (min) 65 45 75 80 50 20 35 Sleep (hours) 7 8 6 9 7 9 8
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