In a study of the relationship between TV viewing and eating habits, a sample of 548 ethnically diverse students from Massachusetts was followed over a 19-month period.† For each additional hour of television viewed per day, the number of fruit and vegetable servings per day was found to decrease on average by 0.14 servings. (a) For this study, what is the response variable? location of studentsnumber of fruit and vegetable servings per day    number of non fruit or vegetable servings per daynumber of hours of television viewed per dayyear What is the explanatory (predictor) variable? location of studentsnumber of fruit and vegetable servings per day    number of non fruit or vegetable servings per daynumber of hours of television viewed per dayyear (b) Would the least squares regression line for predicting number of servings of fruits and vegetables using number of hours spent watching TV have a positive or negative slope? Justify your choice. The slope of the least squares line would be positive. As the number of hours of TV watched per day increases, the number of fruit and vegetable servings per day increases on average.The slope of the least squares line would be negative. As the number of hours of TV watched per day increases, the number of fruit and vegetable servings per day increases on average.    The slope of the least squares line would be negative. As the number of hours of TV watched per day increases, the number of fruit and vegetable servings per day decreases on average.The slope of the least squares line would be positive. As the number of hours of TV watched per day increases, the number of fruit and vegetable servings per day decreases on average.   (c) The equation of the regression line for this study has an intercept of 2. Based on the estimated regression equation, if a randomly selected student watches TV for 5 hours a day, what is the predicted number of servings of fruits/vegetables. (Round your answer to 1 decimal place).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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In a study of the relationship between TV viewing and eating habits, a sample of 548 ethnically diverse students from Massachusetts was followed over a 19-month period.† For each additional hour of television viewed per day, the number of fruit and vegetable servings per day was found to decrease on average by 0.14 servings.
(a)
For this study, what is the response variable?
location of studentsnumber of fruit and vegetable servings per day    number of non fruit or vegetable servings per daynumber of hours of television viewed per dayyear
What is the explanatory (predictor) variable?
location of studentsnumber of fruit and vegetable servings per day    number of non fruit or vegetable servings per daynumber of hours of television viewed per dayyear
(b)
Would the least squares regression line for predicting number of servings of fruits and vegetables using number of hours spent watching TV have a positive or negative slope? Justify your choice.
The slope of the least squares line would be positive. As the number of hours of TV watched per day increases, the number of fruit and vegetable servings per day increases on average.The slope of the least squares line would be negative. As the number of hours of TV watched per day increases, the number of fruit and vegetable servings per day increases on average.    The slope of the least squares line would be negative. As the number of hours of TV watched per day increases, the number of fruit and vegetable servings per day decreases on average.The slope of the least squares line would be positive. As the number of hours of TV watched per day increases, the number of fruit and vegetable servings per day decreases on average.

 

(c)
The equation of the regression line for this study has an intercept of 2. Based on the estimated regression equation, if a randomly selected student watches TV for 5 hours a day, what is the predicted number of servings of fruits/vegetables. (Round your answer to 1 decimal place).
 
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