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The table shows Kelly's hours of exercise and weight loss each week. Hours of exercise Weight loss (pounds) 1.3 0.5 3 2.8 5 3.5 2 2.5 4 3 (a) Use a linear regression model to estimate how many hours Kelly will have to exercise a week in order to lose 4.2 pounds. hours (Round answer to one decimal place. Do not write the units.) (b) According to the coefficient of determination, % of the variation of weight loss is unexplained and is due to other factors. (Round answer to one decimal place. Do not write the % sign. Do not write 0.1 as .1.)

The table shows Kelly's hours of exercise and weight loss each week. Hours of exercise Weight loss (pounds) 1.3 0.5 3 2.8 5 3.5 2 2.5 4 3 (a) Use a linear regression model to estimate how many hours Kelly will have to exercise a week in order to lose 4.2 pounds. hours (Round answer to one decimal place. Do not write the units.) (b) According to the coefficient of determination, % of the variation of weight loss is unexplained and is due to other factors. (Round answer to one decimal place. Do not write the % sign. Do not write 0.1 as .1.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**Kelly's Exercise and Weight Loss Analysis** The table below shows Kelly's hours of exercise and her corresponding weight loss each week: | Hours of exercise | Weight loss (pounds) | |-------------------|----------------------| | 1.3 | 0.5 | | 3 | 2.8 | | 5 | 3.5 | | 2 | 2.5 | | 4 | 3 | --- **Questions:** (a) Use a linear regression model to estimate how many hours Kelly will have to exercise a week in order to lose 4.2 pounds. - **Estimated Hours:** (Round your answer to one decimal place. Do not write the units.) (b) According to the coefficient of determination, what percentage of the variation in weight loss is unexplained and due to other factors? - **Unexplained Variation:** (Round your answer to one decimal place. Do not write the % sign. For example, do not write 0.1 as .1.) --- **Instruction for Calculation:** 1. **Linear Regression Model:** A statistical method for modeling the relationship between a dependent variable and one or more independent variables. In this case, the dependent variable is weight loss, and the independent variable is hours of exercise. 2. **Coefficient of Determination (R²):** A measure that explains how much of the variation in the dependent variable can be predicted from the independent variable(s). **Note:** Use statistical software or a calculator capable of performing linear regression analysis for these computations.
Transcribed Image Text:**Kelly's Exercise and Weight Loss Analysis** The table below shows Kelly's hours of exercise and her corresponding weight loss each week: | Hours of exercise | Weight loss (pounds) | |-------------------|----------------------| | 1.3 | 0.5 | | 3 | 2.8 | | 5 | 3.5 | | 2 | 2.5 | | 4 | 3 | --- **Questions:** (a) Use a linear regression model to estimate how many hours Kelly will have to exercise a week in order to lose 4.2 pounds. - **Estimated Hours:** (Round your answer to one decimal place. Do not write the units.) (b) According to the coefficient of determination, what percentage of the variation in weight loss is unexplained and due to other factors? - **Unexplained Variation:** (Round your answer to one decimal place. Do not write the % sign. For example, do not write 0.1 as .1.) --- **Instruction for Calculation:** 1. **Linear Regression Model:** A statistical method for modeling the relationship between a dependent variable and one or more independent variables. In this case, the dependent variable is weight loss, and the independent variable is hours of exercise. 2. **Coefficient of Determination (R²):** A measure that explains how much of the variation in the dependent variable can be predicted from the independent variable(s). **Note:** Use statistical software or a calculator capable of performing linear regression analysis for these computations.
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