i. The smaller the sample, the smaller the possible error as measured by the standard error of estimate. ii. Approximately 68% of the values lie within two standard errors of the regression line.
iii. For a set of observations, there is no difference in the width of a confidence interval and the width of a predictor interval.
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements

Question

Quizplus · Accepted Answer

i. The smaller the sample, the larger the possible error as measured by the standard error of estimate, because the standard error decreases as the sample size increases. ii. Approximately 68% of the values lie within one standard deviation of the mean, not two standard errors of the regression line. iii. A confidence interval pertains to the mean of the population, while a prediction interval pertains to an individual value, making the prediction interval wider.

I the Smaller the Sample, the Smaller the Possible Error