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Consider the following scenario to answer the questions below: Researchers would like to determine, for adults, if there is a linear relationship between number of hours of sleep obtained per night and weight (in pounds). If so, the researchers would like a model that will estimate the weight of adults given the number of hours of sleep obtained per night. To answer the questions, the following data was obtained: Weight Hours of Sleep Weight Hours of Sleep 143 5.25 109 8.75 135 6.55 131 7 140 4. 109 9. 122 6.3 122 7.75 121 7.15 112 8.75 122 7 133 7.2 130 115 8 138 4.35 112 9. 146 3.5 120 8.5 121 8.11 106 9.25 Is this a Simple, Multiple, or Multivariate model? Explain. What are the dependent and independent variables? Is the relationship between the variables linear?

Consider the following scenario to answer the questions below: Researchers would like to determine, for adults, if there is a linear relationship between number of hours of sleep obtained per night and weight (in pounds). If so, the researchers would like a model that will estimate the weight of adults given the number of hours of sleep obtained per night. To answer the questions, the following data was obtained: Weight Hours of Sleep Weight Hours of Sleep 143 5.25 109 8.75 135 6.55 131 7 140 4. 109 9. 122 6.3 122 7.75 121 7.15 112 8.75 122 7 133 7.2 130 115 8 138 4.35 112 9. 146 3.5 120 8.5 121 8.11 106 9.25 Is this a Simple, Multiple, or Multivariate model? Explain. What are the dependent and independent variables? Is the relationship between the variables linear?

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.FOM: Focus On Modeling: Fitting Lines To Data
Problem 10P
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Consider the following scenario to answer the questions below: Researchers would like to determine, for adults, if there is a linear relationship between number of hours of sleep obtained per night and weight (in pounds). If so, the researchers would like a model that will estimate the weight of adults given the number of hours of sleep obtained per night. To answer the questions, the following data was obtained: Weight Hours of Sleep Weight Hours of Sleep 143 5.25 109 8.75 135 6.55 131 7 140 4 109 9. 122 6.3 122 7.75 121 7.15 112 8.75 122 7 133 7.2 130 5. 115 138 4.35 112 146 3.5 120 8.5 121 8.11 106 9.25 Is this a Simple, Multiple, or Multivariate model? Explain. What are the dependent and independent variables? Is the relationship between the variables linear? If appropriate, estimate the weight for someone who gets 6.5 hours of sleep per night. Interpret the estimate. If appropriate, estimate the weight for someone who gets 1 hour of sleep per night. Interpret the estimate Find and interpret a 95% confidence interval for how the average weight changes for a one hour increase in sleep per night. Find and interpret a 95% confidence interval for the average weight given 6.5 hours of sleep per night is obtained. Find and interpret a 95% prediction interval for the weight of a person who gets 6.5 hours of sleep per night. arche Find and interpret the correlation coefficient. Find and interpret the coefficient of determination.
Transcribed Image Text:Consider the following scenario to answer the questions below: Researchers would like to determine, for adults, if there is a linear relationship between number of hours of sleep obtained per night and weight (in pounds). If so, the researchers would like a model that will estimate the weight of adults given the number of hours of sleep obtained per night. To answer the questions, the following data was obtained: Weight Hours of Sleep Weight Hours of Sleep 143 5.25 109 8.75 135 6.55 131 7 140 4 109 9. 122 6.3 122 7.75 121 7.15 112 8.75 122 7 133 7.2 130 5. 115 138 4.35 112 146 3.5 120 8.5 121 8.11 106 9.25 Is this a Simple, Multiple, or Multivariate model? Explain. What are the dependent and independent variables? Is the relationship between the variables linear? If appropriate, estimate the weight for someone who gets 6.5 hours of sleep per night. Interpret the estimate. If appropriate, estimate the weight for someone who gets 1 hour of sleep per night. Interpret the estimate Find and interpret a 95% confidence interval for how the average weight changes for a one hour increase in sleep per night. Find and interpret a 95% confidence interval for the average weight given 6.5 hours of sleep per night is obtained. Find and interpret a 95% prediction interval for the weight of a person who gets 6.5 hours of sleep per night. arche Find and interpret the correlation coefficient. Find and interpret the coefficient of determination.
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