A researcher wishes to examine the relationship between years of schooling completed and the number of pregnancies in young women. Her research discovers a linear relationship, and the least squares line is: y=51xwhere x is the number of years of schooling completed and y is the number of pregnancies. The slope of the regression line can be interpreted in the following way: When amount of schooling increases by one year, the number of pregnancies decreases by 1. When amount of schooling increases by one year, the number of pregnancies increases by 5. When amount of schooling increases by one year, the number of pregnancies increases by 1. When amount of schooling increases by one year, the number of pregnancies decreases by 5.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
**Exploring the Relationship Between Schooling and Pregnancies**

A researcher is examining the relationship between the number of years of schooling completed and the number of pregnancies in young women. The research identifies a linear relationship, represented by the least squares line equation:

\[
\hat{y} = 5 - 1x
\]

Where:
- \( x \) is the number of years of schooling completed
- \( \hat{y} \) is the predicted number of pregnancies

**Interpreting the Slope of the Regression Line:**

The slope of the regression line (-1) indicates the change in the number of pregnancies for each additional year of schooling. The options for interpreting the slope are as follows:

- When the amount of schooling increases by one year, the number of pregnancies decreases by 1.
- When the amount of schooling increases by one year, the number of pregnancies increases by 5.
- When the amount of schooling increases by one year, the number of pregnancies increases by 1.
- When the amount of schooling increases by one year, the number of pregnancies decreases by 5. 

The correct interpretation, given the slope of -1, is that **when the amount of schooling increases by one year, the number of pregnancies decreases by 1**.
Transcribed Image Text:**Exploring the Relationship Between Schooling and Pregnancies** A researcher is examining the relationship between the number of years of schooling completed and the number of pregnancies in young women. The research identifies a linear relationship, represented by the least squares line equation: \[ \hat{y} = 5 - 1x \] Where: - \( x \) is the number of years of schooling completed - \( \hat{y} \) is the predicted number of pregnancies **Interpreting the Slope of the Regression Line:** The slope of the regression line (-1) indicates the change in the number of pregnancies for each additional year of schooling. The options for interpreting the slope are as follows: - When the amount of schooling increases by one year, the number of pregnancies decreases by 1. - When the amount of schooling increases by one year, the number of pregnancies increases by 5. - When the amount of schooling increases by one year, the number of pregnancies increases by 1. - When the amount of schooling increases by one year, the number of pregnancies decreases by 5. The correct interpretation, given the slope of -1, is that **when the amount of schooling increases by one year, the number of pregnancies decreases by 1**.
Expert Solution
Step 1

given data regression equationy^ = 5 - 1xx = number of years of schooling completedy = number of pregnances. interprete slope. 

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman