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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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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 23PFA
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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.
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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