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d) Compute the residual based on the observed head circumference of the 25-inch-tall child in the table. Is the head circumference of this child above average or below average? e) Draw the least-square regression line on the scatter diagram of the data and label the residual from part(d). f) Would it be reasonable to use the least-square regression line to predict the head circumference of a child who was 32 inches tall? Why or why not?

d) Compute the residual based on the observed head circumference of the 25-inch-tall child in the table. Is the head circumference of this child above average or below average? e) Draw the least-square regression line on the scatter diagram of the data and label the residual from part(d). f) Would it be reasonable to use the least-square regression line to predict the head circumference of a child who was 32 inches tall? Why or why not?

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
Problem 1P
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Question 3. A pediatrician wants to determine the relation that exists between a child's height x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtains the following data. (Using Excel) (Please copy the summary output of each part of your answer of Excel and then find the answer.) Height (inches),x 27.75 24.5 25.5 26 25 27.75 26.5 27 26.75 26.75 27.5 Head Circumference(inches), y 17.5 17.1 17.1 17.3 16.9 17.6 17.3 17.5 17.3 17.5 17.5 a) Find the least-squares regression line treating height as the explanatory variable and head circumferences as the response variable. b) Interpret the slope and y-intercept, if appropriate. c) Use the regression equation to predict the head circumference of a child who is 25 inches tall. d) Compute the residual based on the observed head circumference of the 25-inch-tall child in the table. Is the head circumference of this child above average or below average? e) Draw the least-square regression line on the scatter diagram of the data and label the residual from part(d). f) Would it be reasonable to use the least-square regression line to predict the head circumference of a child who was 32 inches tall? Why or why not?
Transcribed Image Text:Question 3. A pediatrician wants to determine the relation that exists between a child's height x, and head circumference, y. She randomly selects 11 children from her practice, measures their heights and head circumferences, and obtains the following data. (Using Excel) (Please copy the summary output of each part of your answer of Excel and then find the answer.) Height (inches),x 27.75 24.5 25.5 26 25 27.75 26.5 27 26.75 26.75 27.5 Head Circumference(inches), y 17.5 17.1 17.1 17.3 16.9 17.6 17.3 17.5 17.3 17.5 17.5 a) Find the least-squares regression line treating height as the explanatory variable and head circumferences as the response variable. b) Interpret the slope and y-intercept, if appropriate. c) Use the regression equation to predict the head circumference of a child who is 25 inches tall. d) Compute the residual based on the observed head circumference of the 25-inch-tall child in the table. Is the head circumference of this child above average or below average? e) Draw the least-square regression line on the scatter diagram of the data and label the residual from part(d). f) Would it be reasonable to use the least-square regression line to predict the head circumference of a child who was 32 inches tall? Why or why not?
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