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Chapter 9

AMS 5 Chapter Notes - Chapter 9: Hiram Johnson, Longitudinal Study, Dependent And Independent Variables

Applied Math and Statistics
Course Code
Yonatan Katznelson

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AMS 5 Practice 7
Chapter 9, #2, 3, 4, 7, 8, 10, 11
2. True or false, and explain briefly:
(a) If the correlation coefficient is -0.80, below-average values of the
dependent variable are associated with below-average values of the
independent variable.
(b) If y is usually less than x, the correlation coefficient between x and y will
be negative.
2a) True; the negative simply means a correlation with a negative slope, not that there isn’t a
correlation at all.
2b) False; x > y gets you a positive sloped line, which also gives you a positive correlation
3. In each case, say which correlation is higher, and explain briefly. (Data is from a
longitudinal study of growth.)
(a) Height at age 4 and height at age 18, height at age 16 and height at age 18.
(b) Height at age 4 and height at age 18, weight at age 4 and weight at age 18.
(c) Height and weight at age 4, height and weight at age 18.
3a) Second case, since the difference between a 16 year old and an 18 year old aren’t that
3b) Equal, since profound changes occur between the age groups and affect both age and
3c) First case, since there is a wider range of heights/weights when you’re older versus age 4.
4. An investigator collected data on heights and weights of college students; results can be
summarized as follows.
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