A group of 13 health children and adolescents participated in a study designed to analyze the relationship between age (AGE in years) and average total sleep time (ATST in minutes). To obtain a measure for ATST, recordings were taken on each subject on three consecutive nights and then averaged. The results obtained are given below along with the corresponding scatter plot.Age ATST4.458614461.7510.1491.16.756511.54629.6532.112.4477.68.9515.211.14937.75528.35.5575.98.6532.57.2530.5Estimated regression line: y-hat = 648.483 - 14.041x Suppose that a new subject is added to the study data and that subject is 12.5 years old with an AST of 580 minutes. IF the regression model were to be refit with this additional data point, would the new slope be greater or less than -14.041? Justify your response. 1015AGE

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Answered: A group of 13 health children and…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A group of 13 health children and adolescents participated in a study designed to analyze the relationship between age (AGE in years) and average total sleep time (ATST in minutes). To obtain a measure for ATST, recordings were taken on each subject on three consecutive nights and then averaged. The results obtained are given below along with the corresponding scatter plot.

Age	ATST
4.4	586
14	461.75
10.1	491.1
6.7	565
11.5	462
9.6	532.1
12.4	477.6
8.9	515.2
11.1	493
7.75	528.3
5.5	575.9
8.6	532.5
7.2	530.5

Estimated regression line: y-hat = 648.483 - 14.041x

Suppose that a new subject is added to the study data and that subject is 12.5 years old with an AST of 580 minutes. IF the regression model were to be refit with this additional data point, would the new slope be greater or less than -14.041? Justify your response.