Results

Path Analysis

Models Info

Estimation Method	ML	.
Number of observations	20
Free parameters	12
Converged	TRUE
Converged	TRUE
Loglikelihood user model	-29.988
Loglikelihood unrestricted model	1.363
Loglikelihood unrestricted model	1.363
Model	Class_Participation ~ Study_Hours
	Motivation ~ Parental_Support
	Final_Grades ~ Study_Hours + Parental_Support + Class_Participation + Motivation

Overall Tests

Model Tests
Label	X²	df	p
User Model	62.70	3	<.001
Baseline Model	241.32	9	<.001

Fit Indices
					RMSEA 95% CI
AIC	BIC	adj. BIC	SRMR	RMSEA	Lower	Upper	RMSEA p
83.98	95.93	58.93	0.05	1.00	0.79	1.22	<.001

Fit Indices
CFI	TLI	RNI	GFI	adj. GFI	pars. GFI
0.74	0.23	0.74	1.00	1.00	0.15

Estimates

R-squared
		95% Confidence Intervals
Variable	R²	Lower	Upper
Class_Participation	0.89	0.73	0.95
Motivation	0.92	0.82	0.97
Final_Grades	0.98	0.96	0.99

Parameter Estimates
				95% Confidence Intervals
Dep	Pred	Estimate	SE	Lower	Upper	β	z	p
Class_Participation	Study_Hours	0.23	0.02	0.19	0.26	0.94	12.48	<.001
Motivation	Parental_Support	0.65	0.04	0.57	0.73	0.96	15.66	<.001
Final_Grades	Study_Hours	1.02	0.30	0.43	1.61	0.35	3.37	<.001
Final_Grades	Parental_Support	2.65	0.94	0.80	4.50	0.33	2.81	0.005
Final_Grades	Class_Participation	1.84	1.01	-0.14	3.82	0.15	1.83	0.068
Final_Grades	Motivation	2.28	1.21	-0.09	4.65	0.19	1.89	0.059

Variances and Covariances
				95% Confidence Intervals
Variable 1	Variable 2	Estimate	SE	Lower	Upper	β	z	p	Method	Type
Class_Participation	Class_Participation	0.07	0.02	0.02	0.11	0.11	3.16	0.002	Estim	Residuals
Motivation	Motivation	0.05	0.01	0.02	0.07	0.08	3.16	0.002	Estim	Residuals
Final_Grades	Final_Grades	1.34	0.42	0.51	2.16	0.02	3.16	0.002	Estim	Residuals
Study_Hours	Study_Hours	9.83	0.00	9.83	9.83	1.00			Estim	Variables
Study_Hours	Parental_Support	3.29	0.00	3.29	3.29	0.91			Estim	Variables
Parental_Support	Parental_Support	1.34	0.00	1.34	1.34	1.00			Estim	Variables

Intercepts
			95% Confidence Intervals
Variable	Intercept	SE	Lower	Upper	z	p
Class_Participation	1.69	0.19	1.31	2.07	8.71	0.00
Motivation	1.63	0.15	1.34	1.92	10.96	0.00
Final_Grades	45.71	2.75	40.33	51.09	16.65	0.00
Study_Hours	10.15	0.00	10.15	10.15
Parental_Support	3.40	0.00	3.40	3.40

Defined Parameters
					95% Confidence Intervals
Label	Description	Parameter	Estimate	SE	Lower	Upper	β	z	p
IE1	Study_Hours ⇒ Class_Participation ⇒ Final_Grades	p1*p5	0.42	0.23	-0.04	0.88	0.14	1.81	0.071
IE2	Parental_Support ⇒ Motivation ⇒ Final_Grades	p2*p6	1.48	0.79	-0.07	3.02	0.19	1.87	0.061

Path Model

Path Diagrams

Linear Regression

Model Fit Measures
Model	R	R²
1	0.98	0.97
Note. Models estimated using sample size of N=20

Model Coefficients - Final_Grades
Predictor	Estimate	SE	t	p	Stand. Estimate
Intercept	36.24	2.05	17.66	<.001
Motivation	11.73	0.52	22.34	<.001	0.98