II-5
AP Statistics Test B – Modeling Data – Part II Name ____________________
___ 1. All but one of the statements below contain a mistake. Which one could be true?
A) The correlation between height and weight is 0.568 inches per pound.
B) The correlation between weight and length of foot is 0.488.
C) The correlation between the breed of a dog and its weight is 0.435.
D) The correlation between gender and age is -0.171.
E) If the correlation between blood alcohol level and reaction time is 0.73, then the
correlation between reaction time and blood alcohol level is -0.73.
___ 2. A correlation of zero between two quantitative variables means that
A) we have done something wrong in our calculation of r.
B) there is no association between the two variables.
C) there is no linear association between the two variables.
D) re-expressing the data will guarantee a linear association between the two variables.
E) None of the above.
___ 3. A residuals plot is useful because
I. it will help us to see whether our model is appropriate.
II. it might show a pattern in the data that was hard to see in the original scatterplot.
III. it will clearly identify influential points.
A) I only B) II only C) I and II only D) I and III only E) I, II, and III
___ 4. Which of the following is not a goal of re-expressing data?
A) Make the distribution of a variable more symmetric.
B) Make the spread of several groups more alike.
C) Make the form of a scatterplot more nearly linear.
D) Make the scatter in a scatterplot spread out evenly rather than following a fan shape.
E) All of the above are goals of re-expressing data.
___ 5. The correlation coefficient between the hours that a person is awake during a 24-hour
period and the hours that same person is asleep during a 24-hour period is most likely to be
A) exactly +1.0 B) near +0.8 C) near 0 D) near -0.8 E) exactly -1.0
___ 6. The correlation coefficient between high school grade point average (GPA) and college
GPA is 0.560. For a student with a high school GPA that is 2.5 standard deviations above
the mean, we would expect that student to have a college GPA that is the mean.
A) equal to B) 0.56 SD above C) 1.4 SD above D) 2.5 SD above
___ 7. A regression analysis of students’ college grade point averages (GPAs) and their high
school GPAs found R2 = 0.311. Which of these is true?
I. High school GPA accounts for 31.1% of college GPA.
II. 31.1% of college GPAs can be correctly predicted with this model.
III. 31.1% of the variance in college GPA can be accounted for by the model
A) I only B) II only C) III only D) I and II E) None
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