Report the correlations between the three independent variables (age, educ and Protestant) and your dependent variable (childs). Which category had the correlation that was the weakest?
Report the correlations between the three independent variables (age, educ and Protestant) and your dependent variable (childs). Which category had the correlation that was the weakest?
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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Transcribed Image Text:### SDA 4.1.3: Correl Analysis
#### General Social Survey 1972-2018 Cumulative Datafile
**Report Date:** October 26, 2021 (06:42 AM PDT)
---
### Variables
| Role | Name | Label | Range | MD | Dataset |
|----------|------------|------------------------|-------|--------|---------|
| Correlate | CHILDS | Number of children | 0-8 | -1,9 | 1 |
| Correlate | AGE | Age of respondent | 18-89 | 0,98,99| 1 |
| Correlate | EDUCATION | 4 years of college or not | 1-2 | 2 | 2 |
| Correlate | PROTESTANT | Other | 0-1 | 2 | 2 |
| Weight | COMPWT | Composite weight = WTSSALL * OVERSAMP * FORMWT | .1912-11.1196 | 1 |
---
### Correlation Matrix
The correlation matrix details the relationships between the variables: CHILDS, AGE, EDUCATION, and PROTESTANT. Each cell in the table represents the correlation coefficient between pairs of variables:
| | CHILDS | AGE | EDUCATION | PROTESTANT |
|-----------|--------|-------|-----------|------------|
| **CHILDS** | 1.00 | 0.41 | -0.13 | 0.11 |
| **AGE** | 0.41 | 1.00 | -0.01 | 0.14 |
| **EDUCATION** | -0.13 | -0.01 | 1.00 | -0.08 |
| **PROTESTANT** | 0.11 | 0.14 | -0.08 | 1.00 |
*Correlations Visualized:*
- Positive correlations are highlighted in shades of red.
- Negative correlations are highlighted in shades of blue.
- Stronger correlations are indicated with deeper shades.
**Color Coding:**
- <-0.45: Dark Blue
- -0.30 to -0.45: Medium Blue
- -0.15 to -
Expert Solution

Introduction
The correlation is used to estimate whether there is any significance relationship between the two numerical variable. It is denoted as and correlation value ranges from -1 to +1. When the correlation value is 1 or +1, there exist perfect positive and negative correlation. When the correlation is 0, there exist no correlation.
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