Question

1. Among Buddhists in GSS 2008, does education affect how often one visits an art museum? Here are the regression results:

TIMES VISIT ART MUSEUM IN PAST YEAR = –3.94 + 0.31 (YRS. EDUC) r=0.62,r2 =0.38n=10

a) Interpret these results

b) make predictions for a Buddhist who has 16 years of education, and a Buddhist who has 22 years of education.

Answer 1

We have here regression equation is ,

TIMES VISIT ART MUSEUM IN PAST YEAR = -3.94 + .31 (YRS. EDUC)

slope = 0.31

If the years of education increases by 1 unit, then the model predicts that the TIMES VISIT ART MUSEUM IN PAST YEAR will increase by approximately 0.31

y intercept = -3.94

If the years of education is 0, then the model predicts that the TIMES VISIT ART MUSEUM IN PAST YEAR is approximately -3.94

r^2 = 0.38

38% of the variation in TIMES VISIT ART MUSEUM IN PAST YEAR variable can be explained by the variation in years of education.

r=0.62

There is strong correlation between TIMES VISIT ART MUSEUM IN PAST YEAR and years of education

Substitute x=16 into regression equation

=> TIMES VISIT ART MUSEUM IN PAST YEAR = -3.94 + .31 (16)

=1.02

Substitute x=22 into regression equation

=> TIMES VISIT ART MUSEUM IN PAST YEAR = -3.94 + .31 (22)

=2.88