Data Table Height (inches), x Head 27.5 24.75 25.75 26
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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(b)
Transcribed Image Text:**Data Table**
| Height (inches), x | Head Circumference (inches), y |
|--------------------|--------------------------------|
| 27.5 | 17.5 |
| 24.75 | 17.1 |
| 25.75 | 17.2 |
| 26 | 17.6 |
| 24.5 | 16.9 |
| 27.75 | 17.6 |
| 27.25 | 17.3 |
| 26.75 | 17.5 |
| 26.5 | 17.3 |
| 26.5 | 17.5 |
| 27.75 | 17.5 |
This table displays the relationship between height (in inches) and head circumference (in inches). Each row represents a set of measurements for a specific individual or observation. The first column lists the height values, while the second column provides the corresponding head circumference measurements. These data points can be used for analysis or educational purposes, such as understanding correlations or patterns in physical growth.
![A pediatrician wants to determine the relationship 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) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable.
\[
\hat{y} = 0.165x + 13
\]
(Round the slope to three decimal places and round the constant to one decimal place as needed.)
(b) Interpret the slope and y-intercept, if appropriate.
First, interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- A. For every inch increase in head circumference, the height increases by \(\_\_\_\) in., on average. (Round to three decimal places as needed.)
- B. For a height of 0 inches, the head circumference is predicted to be \(\_\_\_\) in. (Round to three decimal places as needed.)
- C. For a head circumference of 0 inches, the height is predicted to be \(\_\_\_\) in. (Round to three decimal places as needed.)
- D. For every inch increase in height, the head circumference increases by \(\_\_\_\) in., on average. (Round to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4b16ece0-c783-4798-b8b6-3ccb9c1c7a2c%2Fbd59b974-c81f-4426-b068-c252ee2d7e2e%2F2jl0f3h_processed.png&w=3840&q=75)
Transcribed Image Text:A pediatrician wants to determine the relationship 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) Find the least-squares regression line treating height as the explanatory variable and head circumference as the response variable.
\[
\hat{y} = 0.165x + 13
\]
(Round the slope to three decimal places and round the constant to one decimal place as needed.)
(b) Interpret the slope and y-intercept, if appropriate.
First, interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- A. For every inch increase in head circumference, the height increases by \(\_\_\_\) in., on average. (Round to three decimal places as needed.)
- B. For a height of 0 inches, the head circumference is predicted to be \(\_\_\_\) in. (Round to three decimal places as needed.)
- C. For a head circumference of 0 inches, the height is predicted to be \(\_\_\_\) in. (Round to three decimal places as needed.)
- D. For every inch increase in height, the head circumference increases by \(\_\_\_\) in., on average. (Round to three decimal places as needed.)
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