i. The smaller the sample, the smaller the possible error as measured by the standard error of estimate. F6
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.F6
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) All statements are false

Question

Quizplus · Accepted Answer

Statement (i) is false because a smaller sample size generally leads to a larger standard error. Statement (ii) is false because approximately 68% of values lie within one standard error, not two. Statement (iii) is false because a prediction interval is wider than a confidence interval for the same set of observations.

I the Smaller the Sample, the Smaller the Possible Error