Solutions Statistics

Data Analysis Problem #2ab in chapter 20 (pg. 472)(Use Assignment 11bc -- Tutorial.pdf as a guide.)

Question: Data Analysis Problem #2ab in chapter 20 (pg. 472)(Use Assignment 11bc -- Tutorial.pdf as a guide.)

From the Regression procedure, obtain the least-squares estimates for the slope and the intercept.
a. Write the regression equation to predict a husband's education from his wife's education. What proportion of the variability in husbands' education can be "explained" by wives' education?
b. What is the predicted value for a husband's education if his wife's education is 13 years?

Regression

Variables Entered/Removed^b
Model	Variables Entered		Variables Removed		Method
1	wife's education (yrs)^a		.		Enter
a. All requested variables entered.
b. Dependent Variable: husband's education (yrs)
Model Summary
Model	R	R Square		Adjusted R Square		Std. Error of the Estimate
1	.561^a	.314		.313		2.42481
a. Predictors: (Constant), wife's education (yrs)

ANOVA^b
Model		Sum of Squares	df	Mean Square	F	Sig.
1	Regression	1635.068	1	1635.068	278.086	.000^a
	Residual	3568.994	607	5.880
	Total	5204.062	608
a. Predictors: (Constant), wife's education (yrs)
b. Dependent Variable: husband's education (yrs)

Coefficients^a
Model		Unstandardized Coefficients		Standardized Coefficients	t	Sig.
Model		B	Std. Error	Beta	t	Sig.
1	(Constant)	5.341	.504		10.598	.000
1	wife's education (yrs)	.620	.037	.561	16.676	.000
a. Dependent Variable: husband's education (yrs)