Question two A researcher is proposing that exercise makes a person more energized and this results in them requiring less sleep. He carried out a survey on the number of hours of exercise per week and the average hours of sleep needed per night in order to feel well rested. The results for the eight (8) participants are shown below. Average hours of sleep 4 needed/night 5.2 2 3.4 8. 10 1.5 6. Hours of exercise/week 8.6 8.1 8.5 7.4 6.8 9.4 7.7 a. Sketch a scatter plot using the data above. Is the relationship linear? b. What is the correlation between the two variables? c. Calculate the coefficient of determination and interpret your answer.
Question two A researcher is proposing that exercise makes a person more energized and this results in them requiring less sleep. He carried out a survey on the number of hours of exercise per week and the average hours of sleep needed per night in order to feel well rested. The results for the eight (8) participants are shown below. Average hours of sleep 4 needed/night 5.2 2 3.4 8. 10 1.5 6. Hours of exercise/week 8.6 8.1 8.5 7.4 6.8 9.4 7.7 a. Sketch a scatter plot using the data above. Is the relationship linear? b. What is the correlation between the two variables? c. Calculate the coefficient of determination and interpret your answer.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter5: A Survey Of Other Common Functions
Section5.3: Modeling Data With Power Functions
Problem 6E: Urban Travel Times Population of cities and driving times are related, as shown in the accompanying...
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Transcribed Image Text:Question two
A researcher is proposing that exercise makes a person more energized and this results in them
requiring less sleep. He carried out a survey on the number of hours of exercise per week and the
average hours of sleep needed per night in order to feel well rested. The results for the eight (8)
participants are shown below.
Average
hours of sleep
4
5.2
3.4
8
10
1.5
needed/night
Hours of
exercise/week
8.6
8.1
9.
8.5
7.4
6.8
9.4
7.7
a. Sketch a scatter plot using the data above. Is the relationship linear?
b. What is the correlation between the two variables?
c. Calculate the coefficient of determination and interpret your answer.
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