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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 (Pearson's Correlation)

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 (Pearson's Correlation)

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 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 (Pearson's Correlation) 

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 (Pearson's Correlation) in week 7. [Submit Week 8 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 | | | | | | Explanation: This table lists data for five cases (IDs) regarding two variables: Spouse (X) and Child (Y). The task is to fill in the blank columns, which involve calculating the differences between each value and the mean of its respective variable (X-Xbar and Y-Ybar), the squares of those differences ((X-Xbar)² and (Y-Ybar)²), and the product of those differences ((X-Xbar)(Y-Ybar)). This information is necessary for performing linear regression analysis to explore the relationship between spousal and child abuse.
Transcribed Image Text: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 (Pearson's Correlation) in week 7. [Submit Week 8 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 | | | | | | Explanation: This table lists data for five cases (IDs) regarding two variables: Spouse (X) and Child (Y). The task is to fill in the blank columns, which involve calculating the differences between each value and the mean of its respective variable (X-Xbar and Y-Ybar), the squares of those differences ((X-Xbar)² and (Y-Ybar)²), and the product of those differences ((X-Xbar)(Y-Ybar)). This information is necessary for performing linear regression analysis to explore the relationship between spousal and child abuse.
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