Question

Questions 8-10. In one study, the correlation between the educational level of husbands and wives in a certain town was about 0.50; both averaged 12 years of schooling completed, each with a SD of 3 years.

Question 8 Predict the educational level of a woman whose husband has completed 18 years of schooling.

Question 8 (Choose the best answer)

A15

B. 16

C. 17

D. 18

E. 19

Question 9 Predict the education level of a man whose wife has completed 15 years of schooling.

Question 9 Choose the right answer

A13.5

B. 12.5

C. 11.5

D. 10.5

E. None of the above

Question 10 Apparently, well educated men marry women who are less well educated than themselves. But the women marry men with even less education. How is this possible?

Select the best answer among the choices

A Regression Effect

B. Law of Averages

C. Different Subgroups

D. Randomized Control Groups

E. Chance error

Answer 1

Solution :

	x̅ =		12
	y̅ =		12
	x=		3
	y =		3
	=		0.5
slope b1=*y/x=		0.5000
intercept bo=y̅ +(y/x)*(x̅)=	6.000

Regression line :- Y = 0.5 x +6

(a)

predicted value =0.5*18+6 = 15

Option A is correct.

(b)

predicted value =0.5*15+6 = 13.5

Option A is correct.

(c)

This is just the regression effect.

Option A is correct.

since least square equation has the tendency to regress the outcome toward mean value , as both the explanatory variable (in part a and b) are above mean value , the response variable are smaller then them.

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