A researcher is interested in examining the relationship between spousal abuse and child abuse. Specifically, they are interested in determining whether there is a predictive relationship between spousal abuse and child abuse in 5 county social services offices. Calculate the linear regression line for the following data. Note you have already calculated the first step to this analysis
A researcher is interested in examining the relationship between spousal abuse and child abuse. Specifically, they are interested in determining whether there is a predictive relationship between spousal abuse and child abuse in 5 county social services offices. Calculate the linear regression line for the following data. Note you have already calculated the first step to this analysis
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 researcher is interested in examining the relationship between spousal abuse and child abuse. Specifically, they are interested in determining whether there is a predictive relationship between spousal abuse and child abuse in 5 county social services offices. Calculate the linear regression line for the following data. Note you have already calculated the first step to this analysis
.
**Example 1**
| ID | Spouse (X) | Child (Y) | X-Xbar | Y-Ybar | (X-Xbar)² | (Y-Ybar)² | (X-Xbar)(Y-Ybar) |
|----|------------|-----------|--------|--------|-----------|-----------|-----------------|
| 1 | 30 | 25 | | | | | |
| 2 | 20 | 15 | | | | | |
| 3 | 12 | 10 | | | | | |
| 4 | 15 | 9 | | | | | |
| 5 | 11 | 0 | | | | | |
This table is set up to calculate the Pearson correlation coefficient, which measures the strength and direction of the linear relationship between two variables, X (spousal abuse) and Y (child abuse). The columns labeled "X-Xbar" and "Y-Ybar" represent the deviations of each value from their respective means. Columns "(X-Xbar)²" and "(Y-Ybar)²" are used for calculating variances, and "(X-Xbar)(Y-Ybar)" is used for the covariance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe03e3acf-6995-470b-851e-4b860c1ddcfc%2F2ca2659a-bd33-4fa5-937e-0b3a4ae88b18%2Fncg5w6_processed.png&w=3840&q=75)
Transcribed Image Text:**Instructions:** A researcher is interested in examining the relationship between spousal abuse and child abuse. Specifically, they are interested in determining whether there is a predictive relationship between spousal abuse and child abuse in 5 county social services offices. Calculate the Pearson's correlation coefficient using the formulas provided in the video. [Submit Week 7 Hand Calculations HERE](#).
**Example 1**
| ID | Spouse (X) | Child (Y) | X-Xbar | Y-Ybar | (X-Xbar)² | (Y-Ybar)² | (X-Xbar)(Y-Ybar) |
|----|------------|-----------|--------|--------|-----------|-----------|-----------------|
| 1 | 30 | 25 | | | | | |
| 2 | 20 | 15 | | | | | |
| 3 | 12 | 10 | | | | | |
| 4 | 15 | 9 | | | | | |
| 5 | 11 | 0 | | | | | |
This table is set up to calculate the Pearson correlation coefficient, which measures the strength and direction of the linear relationship between two variables, X (spousal abuse) and Y (child abuse). The columns labeled "X-Xbar" and "Y-Ybar" represent the deviations of each value from their respective means. Columns "(X-Xbar)²" and "(Y-Ybar)²" are used for calculating variances, and "(X-Xbar)(Y-Ybar)" is used for the covariance.
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