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The following exercises utilize the path model depicted below as well as the data set country- c.sav. Specifically, the variables of Indocs (z₁), Ingdp (z2), deathrat (z3), birthrat (z4), and lifeexpf (z5) will be utilized. 112 Z1 S P31 P42 P52 ez e4 P53 P54 ✔ es

The following exercises utilize the path model depicted below as well as the data set country- c.sav. Specifically, the variables of Indocs (z₁), Ingdp (z2), deathrat (z3), birthrat (z4), and lifeexpf (z5) will be utilized. 112 Z1 S P31 P42 P52 ez e4 P53 P54 ✔ es

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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 Identify the regression analyses necessary for testing this initial model.

The following exercises utilize the path model depicted below as well as the data set country-c.sav. Specifically, the variables of Indocs (z₁), lngdp (z₂), deathrat (z₃), birthrat (z₄), and lifeexpf (z₅) will be utilized. ### Path Diagram Explanation - **Variables:** - \( z_1 \): Indocs - \( z_2 \): lngdp - \( z_3 \): deathrat - \( z_4 \): birthrat - \( z_5 \): lifeexpf - **Path Coefficients:** - \( p_{31} \): Path from \( z_1 \) to \( z_3 \). - \( p_{42} \): Path from \( z_2 \) to \( z_4 \). - \( p_{52} \): Path from \( z_2 \) to \( z_5 \). - \( p_{53} \): Path from \( z_3 \) to \( z_5 \). - \( p_{54} \): Path from \( z_4 \) to \( z_5 \). - **Correlations and Errors:** - \( r_{12} \): Correlation between \( z_1 \) and \( z_2 \). - Errors for each variable (\( e_3 \), \( e_4 \), \( e_5 \)) are depicted with arrows pointing towards \( z_3 \), \( z_4 \), and \( z_5 \) respectively. These represent the unexplained variances in those variables.
Transcribed Image Text:The following exercises utilize the path model depicted below as well as the data set country-c.sav. Specifically, the variables of Indocs (z₁), lngdp (z₂), deathrat (z₃), birthrat (z₄), and lifeexpf (z₅) will be utilized. ### Path Diagram Explanation - **Variables:** - \( z_1 \): Indocs - \( z_2 \): lngdp - \( z_3 \): deathrat - \( z_4 \): birthrat - \( z_5 \): lifeexpf - **Path Coefficients:** - \( p_{31} \): Path from \( z_1 \) to \( z_3 \). - \( p_{42} \): Path from \( z_2 \) to \( z_4 \). - \( p_{52} \): Path from \( z_2 \) to \( z_5 \). - \( p_{53} \): Path from \( z_3 \) to \( z_5 \). - \( p_{54} \): Path from \( z_4 \) to \( z_5 \). - **Correlations and Errors:** - \( r_{12} \): Correlation between \( z_1 \) and \( z_2 \). - Errors for each variable (\( e_3 \), \( e_4 \), \( e_5 \)) are depicted with arrows pointing towards \( z_3 \), \( z_4 \), and \( z_5 \) respectively. These represent the unexplained variances in those variables.
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