Question 5
The students in Mr. Shenk’s class measured the arm spans and heights (in inches) of a random sample of 18 students from their large high school. Here is computer output from a least-squares regression analysis of these data.
Based on these results, a 90% confidence interval for the slope of the true regression line relating = height to = arm span for students in this high school is (0.6991, 0.9817).
Predictor
Coef
Stdev.
t-ratio
P
Constant
11.547
5.600
–2.06
0.056
Armspan
0.84042
0.08091
10.39
0.000
S = 6.41939
R-Sq = 83.9%
R-Sq(adj) = 83.1%
Which is a correct interpretation of the confidence interval?
A)We are 90% confident that the interval from 0.6991 to 0.9817 captures the slope of the true regression line relating = height to = arm span for students in this high school.
B)We are 90% confident that the interval from 0.6991 to 0.9817 captures the slope of the regression line relating = height to = arm span for the students in this study.
C)We are 90% confident that the interval from 0.6991 to 0.9817 captures the slope of the regression line relating = height to = arm span for all adults.
D)We are 90% confident that 0.84042 is the slope of the true regression line relating = height to = arm span for students in this high school.
E)We are 90% confident that future studies will yield a slope relating = height to = arm span for students in this high school of between 0.6991 and 0.9817.
