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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 circumference and obtains the accompanying data. Complete parts (a) through (g) below. E Click the icon to view the children's data. Data table (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as Height (inches), x Head Circumference (inches), y P 28 17.4 ý =x+ (O 24.5 17.1 (Round the slope to three decimal places and round the constant to one decimal place as needed.) 25.25 17.0 (b) Interpret the slope and y-intercept, if appropriate. 26 17.5 24.25 16.8 First interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete you 28.25 17.6 O A. For every inch increase in head circumference, the height increases by in., on average. 26.5 17.2 (Round to three decimal places as needed.) 27 17.4 O B. For every inch increase in height, the head circumference increases by in., on average. 26.75 17.2 26.75 17.4 (Round to three decimal places as needed.) 27.5 17.4 O C. For a head circumference of 0 inches, the height is predicted to be in. (Round to three decimal places as needed.) O D. For a height of 0 inches, the head circumference is predicted to be in. (Round to three decimal places as needed.) Print Done

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 circumference and obtains the accompanying data. Complete parts (a) through (g) below. E Click the icon to view the children's data. Data table (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as Height (inches), x Head Circumference (inches), y P 28 17.4 ý =x+ (O 24.5 17.1 (Round the slope to three decimal places and round the constant to one decimal place as needed.) 25.25 17.0 (b) Interpret the slope and y-intercept, if appropriate. 26 17.5 24.25 16.8 First interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete you 28.25 17.6 O A. For every inch increase in head circumference, the height increases by in., on average. 26.5 17.2 (Round to three decimal places as needed.) 27 17.4 O B. For every inch increase in height, the head circumference increases by in., on average. 26.75 17.2 26.75 17.4 (Round to three decimal places as needed.) 27.5 17.4 O C. For a head circumference of 0 inches, the height is predicted to be in. (Round to three decimal places as needed.) O D. For a height of 0 inches, the head circumference is predicted to be in. (Round to three decimal places as needed.) Print Done

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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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 accompanying data. Complete parts​ (a) through​ (g) below.

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 accompanying data. Complete parts (a) through (g) below. Click the icon to view the children's data. Data table (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as Height (inches), x Head Circumference (inches), y 28 17.4 y = x + 24.5 17.1 (Round the slope to three decimal places and round the constant to one decimal place as needed.) 25.25 17.0 (b) Interpret the slope and y-intercept, if appropriate. 26 17.5 24.25 16.8 First interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete you 28.25 17.6 O A. For every inch increase in head circumference, the height increases by (Round to three decimal places as needed.) in., on average. 26.5 17.2 27 17.4 B. For every inch increase in height, the head circumference increases by in., on average. 26.75 17.2 (Round to three decimal places as needed.) 26.75 17.4 27.5 17.4 C. For a head circumference of 0 inches, the height is predicted to be in. (Round to three decimal places as needed.) D. For a height of 0 inches, the head circumference is predicted to be in. (Round to three decimal places as needed.) Print Done
Transcribed Image Text: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 accompanying data. Complete parts (a) through (g) below. Click the icon to view the children's data. Data table (a) Find the least-squares regression line treating height as the explanatory variable and head circumference as Height (inches), x Head Circumference (inches), y 28 17.4 y = x + 24.5 17.1 (Round the slope to three decimal places and round the constant to one decimal place as needed.) 25.25 17.0 (b) Interpret the slope and y-intercept, if appropriate. 26 17.5 24.25 16.8 First interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete you 28.25 17.6 O A. For every inch increase in head circumference, the height increases by (Round to three decimal places as needed.) in., on average. 26.5 17.2 27 17.4 B. For every inch increase in height, the head circumference increases by in., on average. 26.75 17.2 (Round to three decimal places as needed.) 26.75 17.4 27.5 17.4 C. For a head circumference of 0 inches, the height is predicted to be in. (Round to three decimal places as needed.) D. For a height of 0 inches, the head circumference is predicted to be in. (Round to three decimal places as needed.) Print Done
Expert Solution
Step 1:-

It is known that y represents the value of head circumference in inches and x represents the value of  height in inches. 

Where y is a dependent variable and x is an independent variable. 

The least square regression line is given by,  

ŷ = bx+a

Where 

b= {n*∑xy-(∑x)*(∑y)}/{(n*∑x2-(∑x)2}

And 

a= (∑y-b*∑x)/n

 

 

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