Analyze the following achievement path model (Figure 7.5) using the LISREL software program. The path model indicates that income and ability predict aspire, and income, ability, and aspire predict achieve.
Sample size $=100$
Observed variables: quantitative achievement (Ach), family income (Inc), quantitative ability (Abl), educational aspiration (Asp)
Variance-covariance matrix:
$$
\begin{array}{lcccc}
\hline & \text { Ach } & \text { Inc } & \text { Abl } & \text { Asp } \\
\hline \text { Ach } & 25.500 & & & \\
\text { Inc } & 20.500 & 38.100 & & \\
\text { Abl } & 22.480 & 24.200 & 42.750 & \\
\text { Asp } & 16.275 & 13.600 & 13.500 & 17.000 \\
\hline
\end{array}
$$
Equations:
$$
\begin{aligned}
& \text { Asp }=\text { Inc Abl } \\
& \text { Ach }=\text { Inc Abl Asp }
\end{aligned}
$$
( FIGURE CAN'T COPY )