1. For each menu item at a fast food restaurant, fat content (in
grams) and number of calories were recorded. A scatterplot of these
data is given:

A plausible value for the correlation between calories and
fat content is

A. – 0.9.

B. +0.2.

C. – 1.0.

D. +0.9.

2. The volume of oxygen consumed (in liters per minute)
while a person is at rest and while he or she is exercising
(running on a treadmill) was measured for each of 50 subjects. The
goal is to determine if the volume of oxygen consumed during
aerobic exercise can be estimated from the amount consumed at rest.
The results are plotted below.

In this study, the explanatory variable is

A. the volume of oxygen consumed while running.

B. the measuring instrument used to measure the volume
of oxygen consumed.

C. the volume of oxygen consumed at rest.

D. It doesn't matte

3. Do taller restaurant servers receive larger tips? In a
study, the amount of each tip (measured as a percentage of the
bill) was recorded, along with the heights of the servers. The
response variable is

A. the size of the tip.

B. the height of the server.

C. the number of servers used in the study.

D. None of the above

4. Which of the following statements is true?

A. The correlation coefficient equals the proportion of
times two variables lie on a straight line.

B. The correlation coefficient is a unitless number and
must always lie between –1.0 and +1.0, inclusive.

C. The correlation coefficient will be +1.0 only if all
the data lie on a perfectly horizontal straight line.

D. The correlation coefficient measures the fraction of
outliers that appear in a scatterplot.

5. A researcher measures the correlation between two
variables. This correlation tells us

A. whether a scatterplot shows an interesting pattern.

B. whether there is a relation between two variables.

C. the strength and direction of a straight line relation
between two variables.

D. whether a cause and effect relation exists between
two variables.

6. If men always married women who were two years younger
than themselves, the correlation between the ages of husband and
wife would be

A. -1.

B. 1.

C. Can't tell without seeing the data.

Each of the following statements contains a blunder. In each
case, choose the statement that correctly explains the blunder.

7. “There is a high correlation between the sex of American
workers and their income.”

A. Correlation requires both variables to be
quantitative.

B. The correlation must give the units of the income.

C. The statement must include whether high income tracks
with men or with women.

8. “We found a high correlation (r = 1.09) between
students’ ratings of faculty teaching and ratings made by other
faculty members.”

A. The correlation must be a number between -1 and 1.

B. The correlation must include the units of the
ratings.

C. The correlati

9. “The correlation between height and weight of the
subjects was r = 0.63 centimeter.”

A. The correlation has no unit of measurement; it is
just a number.

B. The correlation must state which variable is the
explanatory variable and which variable is the response variable.

C. Correlation can only measure a relationship between
variables with the same units.

A college newspaper interviews a psychologist about student
ratings of the teaching of faculty members. The psychologist says,
"The evidence indicates that the correlation between the research
productivity and teaching rating of faculty members is close to
zero."

The paper reports this as "Professor McDaniel said that good
researchers tend to be poor teachers, and vice versa."

10. Which statement in plain language (i.e. without the word
"correlation") correctly explains the psychologist's meaning?

A. While good researchers tend to be bad teachers, there
is no similar relationship between bad researchers and good
teachers.

B. Good researchers tend to be bad teachers and bad
researches tend to be good teachers.

C. While bad researchers tend to be good teachers, there
is no similar relationship between good researchers and bad
teachers.

D. There is little connection between research
productivity and teaching rating.

How sensitive to changes in water temperature are coral
reefs? To find out, measure the growth of corals in aquariums where
the water temperature is controlled at different levels. Growth is
measured by weighing the coral before and after the experiment.

11. Select the correct statement.

A. The change in coral weight during the experiment is
the explanatory variable, and the temperature of the aquarium is
the response variable.

B. The change in coral weight during the experiment is
the response variable, and the temperature of the aquarium is the
explanatory variable.

C. The weight of the corals after the experiment is the
response variable, and the temperature of the aquarium is the
explanatory variable.

D. Growth of the coral will be used to determine an
optimal temperature.

12. Temperature and weight are what kind of variables?

A. Both are numeric because they are both measured with
instruments.

B. Temperature is categorical (cool, warm, or hot) and
growth is numeric.

C. Both are categorical. We can classify growth as slow,
medium, or fast. Temperatures are cool, warm, or hot.

D. Growth is categorical (slow, medium, or fast) and
temperature is numeric because it is measured with a
thermometer.

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