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Time at the table Does how long young children remain at the lunch table help predict
Chapter 12, Problem 14(choose chapter or problem)
Time at the table Does how long young children remain at the lunch table help predict how much they eat? Here are data on a random sample of 20 toddlers observed over several months.10 Time is the average number of minutes a child spent at the table when lunch was served. Calories is the average number of calories the child consumed during lunch, calculated from careful observation of what the child ate each day. Some computer output from a least-squares regression analysis on these data is shown below. Predictor Coef SE Coef T P Constant 560.65 29.37 19.09 0.000 Time 3.0771 0.8498 3.62 0.002 S = 23.3980 R-Sq = 42.1% R-Sq(adj) = 38.9% (a) What is the equation of the least-squares regression line for predicting calories consumed from time at the table? Interpret the slope of the regression line in context. Does it make sense to interpret the y intercept in this case? Why or why not? (b) Explain what the value of s means in this setting. (c) Do these data provide convincing evidence at the a = 0.01 level of a linear relationship between time at the table and calories consumed in the population of toddlers? Assume that the conditions for performing inference are met. 1
Questions & Answers
QUESTION:
Time at the table Does how long young children remain at the lunch table help predict how much they eat? Here are data on a random sample of 20 toddlers observed over several months.10 Time is the average number of minutes a child spent at the table when lunch was served. Calories is the average number of calories the child consumed during lunch, calculated from careful observation of what the child ate each day. Some computer output from a least-squares regression analysis on these data is shown below. Predictor Coef SE Coef T P Constant 560.65 29.37 19.09 0.000 Time 3.0771 0.8498 3.62 0.002 S = 23.3980 R-Sq = 42.1% R-Sq(adj) = 38.9% (a) What is the equation of the least-squares regression line for predicting calories consumed from time at the table? Interpret the slope of the regression line in context. Does it make sense to interpret the y intercept in this case? Why or why not? (b) Explain what the value of s means in this setting. (c) Do these data provide convincing evidence at the a = 0.01 level of a linear relationship between time at the table and calories consumed in the population of toddlers? Assume that the conditions for performing inference are met. 1
ANSWER:Step 1 of 4
Given data
The number of toddlers studied:
Variables are the time i.e average number of minutes a child spent at a table eating and calories which is average calories the child consumed.
