Ap Statistics Semester Exam Review Worksheets With Answer Key Page 4
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930. A researcher runs a detailed study and concludes the following: “The correlation between the age
when a child first walks and the age when a child says their first word appears to be approximately
zero.” Describe what this means to someone who does not know anything about statistics.
31. A study was conducted to see if a baby’s birth weight was related to their birth length. A sample of
200 babies were measured and the following data was gathered:
Mean
Standard deviation
Birth weights:
8.7 lbs
2.8 lbs
Birth lengths:
15.3 in
4.2 in
Correlation coefficient: r = 0.895
A scatterplot revealed that the data was fairly linear. Use all of that information to write the
regression line that predicts birth length from birth weight.
32. In the scatterplot to the right, what would happen to the value of
r if point X was removed? What would happen to the slope of the
regression line? Based on that, is point X an outlier? Why or why
X
not?
Chapter Four:
33. Match each of the following functions to the transformation that would make them linear:
i. x vs. y
5x
a. y = 3(2)
ii. x vs. log(y)
iii. log(x) vs. y
2
b. y = 3x
iv. log(x) vs. log(y)
v. xy vs. log(xy)
34. A set of data is shown to have a linear relationship if transformed into the function log(y)=2+5x.
Transform that relationship back into a direct relationship between x and y. What is the value of y
when x=0.2?
35. Label each relationship below with its correct type: cause-and-effect, common response, or
confounding variables.
a. There is a strong, negative correlation between one’s height and the length of one’s hair.
However, it should be noted that men are generally taller and have shorter hair.
b. There is a strong, positive correlation between one’s height and one’s age. However, it should
be noted that one grows taller as they age.
c. There is a strong, positive correlation between one’s height and the distance one can run
before getting winded. However, it should be noted that there are other factors besides how
long one’s legs are that contribute to how far you can run, including health and level of training.
36. Studies have indicated that there is a strong, negative correlation between the number of times per
week that you brush your teeth and the number of cavities you get each year. Which of the following
can be concluded from this information?
a. Not brushing your teeth causes you to get cavities.
b. People who don’t brush their teeth often are more likely to have cavities than people who do.
c. There is statistically significant evidence that brushing your teeth prevents cavities.
d. None of these can be concluded.
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