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A year-long fitness centre study sought to determine if there is a relationship between the amount of muscle mass gained (kilograms) and the weekly time spent working out under the guidance of a trainer (minutes). They take a simple random sample of 100 subjects in the centre. Based on the sample, they observe that the muscle mass gain variable has mean 15.65 kg and standard deviation 2.1 kg. In addition, they also observe the variable of weekly time spent on working out has mean 114 minutes with standard deviation 13 minutes. From the scatter plot, they find that the correlation between these two variables is 0.83. a. Find the response variable and explanatory variable in this study? b. Using the sample information, find the slope of the least square regression line? Interpret the slope of the regression. c. Using the sample information, find the intercept of the least square regression line? Interpret the intercept of the regression. d. From part b and c, determine the regression model in this study? e. Suppose an individual worked out for 131 minutes per week. How much muscle mass gain would you predict?

A year-long fitness centre study sought to determine if there is a relationship between the amount of muscle mass gained (kilograms) and the weekly time spent working out under the guidance of a trainer (minutes). They take a simple random sample of 100 subjects in the centre. Based on the sample, they observe that the muscle mass gain variable has mean 15.65 kg and standard deviation 2.1 kg. In addition, they also observe the variable of weekly time spent on working out has mean 114 minutes with standard deviation 13 minutes. From the scatter plot, they find that the correlation between these two variables is 0.83. a. Find the response variable and explanatory variable in this study? b. Using the sample information, find the slope of the least square regression line? Interpret the slope of the regression. c. Using the sample information, find the intercept of the least square regression line? Interpret the intercept of the regression. d. From part b and c, determine the regression model in this study? e. Suppose an individual worked out for 131 minutes per week. How much muscle mass gain would you predict?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A year-long fitness centre study sought to determine if there is a relationship between the amount of muscle mass gained (kilograms) and the weekly time spent working out under the guidance of a trainer (minutes). They take a simple random sample of 100 subjects in the centre. Based on the sample, they observe that the muscle mass gain variable has mean 15.65 kg and standard deviation 2.1 kg. In addition, they also observe the variable of weekly time spent on working out has mean 114 minutes with standard deviation 13 minutes. From the scatter plot, they find that the correlation between these two variables is 0.83. a. Find the response variable and explanatory variable in this study? b. Using the sample information, find the slope of the least square regression line? Interpret the slope of the regression. c. Using the sample information, find the intercept of the least square regression line? Interpret the intercept of the regression. d. From part b and c, determine the regression model in this study? e. Suppose an individual worked out for 131 minutes per week. How much muscle mass gain would you predict?
Transcribed Image Text:A year-long fitness centre study sought to determine if there is a relationship between the amount of muscle mass gained (kilograms) and the weekly time spent working out under the guidance of a trainer (minutes). They take a simple random sample of 100 subjects in the centre. Based on the sample, they observe that the muscle mass gain variable has mean 15.65 kg and standard deviation 2.1 kg. In addition, they also observe the variable of weekly time spent on working out has mean 114 minutes with standard deviation 13 minutes. From the scatter plot, they find that the correlation between these two variables is 0.83. a. Find the response variable and explanatory variable in this study? b. Using the sample information, find the slope of the least square regression line? Interpret the slope of the regression. c. Using the sample information, find the intercept of the least square regression line? Interpret the intercept of the regression. d. From part b and c, determine the regression model in this study? e. Suppose an individual worked out for 131 minutes per week. How much muscle mass gain would you predict?
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