Regression was performed on test data for 125 SAT test scores to
examine the association between the Math and Verbal scores. Scores
on this test ranged from 200 to 800 and were widely used by
college admissions offices. The data to the right show the
summary statistics, where the response variable is Math
Score. Complete parts a and b below.
Variable
Coefficient
SE(Coeff)
t-ratio
P-value
Intercept
212.09
35.55
5.97
<= 0.0001
Verbal
0.403
0.042
9.6
<= 0.0001
a) Find a 90% confidence interval for the slope of the true
line describing the association between Math and Verbal scores.
The confidence interval is ,.
(Round to three decimal places as needed.)