Yellowstone National Park surveyed a random sample of 1526 winter visitors to the park. The survey asked each person if he or she owned, rented, or had never used a snowmobile. Respondents were also asked whether or not they belonged to an environmental organization (like the Sierra Club).
The two-way table summarizes the survey responses.
What is the marginal distribution (in percents) of snowmobile use?
Round to one place past the decimal, include the % sign.
Never used: _______ Renter: _______ Owner: _______
Question 4
4.
Yellowstone National Park surveyed a random sample of 1526 winter visitors to the park. The survey asked each person if he or she owned, rented, or had never used a snowmobile. Respondents were also asked whether or not they belonged to an environmental organization (like the Sierra Club).
The two-way table summarizes the survey responses.
Answer the following questions (in percents) about membership in the club and snowmobile use.
Round to one place past the decimal, include the % sign.
What percent of the winter visitors were members of the Environmental Club and never used snowmobiles? _______
What percent of people in the Environmental Club were snowmobile owners? _______ What percent of snowmobile renters were not in the Environmental Club? _______
Question 5
5.
Many people like to ride roller coasters. Amusement parks try to increase attendance by building exciting new coasters. The table displays data on several roller coasters that were opened in a recent year.
Use stapplet.com to make a scatterplot to show the relationship between height and maximum speed. (2 quantitative variables)
Insert it into the 'show your work' section.
Describe the relationship between the height and the maximum speed. Use DOFS.
Question 6
6.
Draw two scatterplots with the given linear associations in the 'show your work' section. Use the scribble tool, make it thick so you can insert dots.
Question 7
7.
Estimate. Choose from the following values for r: -0.91, -0.34, -0.15, 0.12, 0.27, 0.76, 0.94
a. r= _______
b. r= _______
c. r = _______
d. r = _______
Question 8
8.
Question 9
9.
Question 10
10.
Question 11
11.
Question 12
12.
Question 13
13.
Each of the following statements contains an error. Explain what is wrong in each case.
We found a high correlation (r = 1.09) between SAT scores and GPA for a sample of high school students.
The correlation between the distance traveled by a hiker and the time spent hiking is r = 0.9 m/sec.
There is a high correlation between the gender of American workers and their income.
There is a correlation of 0.54 between the position a football player plays and his weight.
Correlation Coefficient, r, does not have units.
Still on a land line? Telephone surveys made through random-digit dialing used to exclude cell-phone numbers. If the opinions of people who have only cell phones differ from those of people who have landline service, the poll results may not represent all adults.
The Pew Research Center interviewed a sample of cell-only and landline telephone users who were younger than 30 years old.
Here’s what Pew found about how these people describe their political-party affiliation.
Use the graph to determine if there is an association between type of phone use and political affiliation for the members of the sample.
Explain your reasoning. If there is an association, briefly describe it.
Select 5 correct answers.
There is not an association between type of phone used and political affiliation for members of the sample.
The segmented bars show types of phone used have different distributions of political affiliation.
This means the phone someone uses can help determine the political affiliation of the person.
Cell phone users are more likely to have no political affiliation.
Landline users are more likely to be Democrats.
Landline users are more likely to be Republicans.
the segmented bars show types of phone used have a similar distribution of political affiliation.
There is an association between type of phone used and political affiliation for members of the sample.
Cell phone users are more likely to be Republicans.
This means the phone someone uses does not help determine the political affiliation of the person.
Yellowstone National Park surveyed a random sample of 1526 winter visitors to the park. The survey asked each person if he or she owned, rented, or had never used a snowmobile. Respondents were also asked whether or not they belonged to an environmental organization (like the Sierra Club).
The two-way table summarizes the survey responses.
Use stapplet.com , (two categorical variables).
Make a segmented bar chart to show the relationship between environmental club membership and snowmobile use for the members of the sample.
Take a snip and put it into the 'show your work' section.
Based on the graph, is there an association between these variables?
Explain your reasoning. If there is an association, briefly describe it.
Select 4 correct answers.
Environmental Club members are more likely to rent or own a snowmobile.
This means knowing if someone is a member of the Environmental Club does not help determine if they use a snowmobile or not.
There is an association between environmental club membership and snowmobile use.
Environmental Club members are less likely to rent or own a snowmobile.
There is not an association between type of phone used and political affiliation for members of the sample.
The segmented bar charts show an association between club membership & snowmobile use.
The segmented bar charts do not show an association between club membership & snowmobile use.
This means knowing if someone is a member of the Environmental Club can help determine if they use a snowmobile or not.
There is a linear relationship between the number of boats registered in Florida and the number of manatees killed.
The correlation for these data is r = 0.87. Interpret this value and explain the relationship between boats registered and manatees killed.
Select two correct answers.
The linear relationship between boats registered and manatees killed is strong and positive.
As boats registered increases the number of manatees killed appears to increase.
As boats registered increase the number of manatees killed appears to stay the same.
The linear relationship between boats registered and manatees killed is strong and negative.
The linear relationship between boats registered and manatees killed is weak and negative.
The linear relationship between boats registered and manatees killed is weak and positive.
As boats registered increase the number of manatees killed appears to decrease.
There is a linear relationship between the number of boats registered in Florida and the number of manatees killed.
Does the fact that r = 0.87 suggest that an increase in boats registered will cause more manatees to be killed? Explain by selecting three correct answers.
Yes
Correlation does not prove causation.
Correlation proves causation.
An increase in boats registered is associated with an increase in manatees killed.
An increase in boats registered causes an increase in manatees killed.
No
Cars lose value as they pile up the road miles. The scatterplot shows the relationship between asking price (in thousands of dollars) and odometer mileage (in thousands of miles) for nineteen 2012 Ford Fusions for sale at www.carmax.com one day in August.
The correlation is r = −0.800.
What would happen to correlation if the odometer reading was plotted on the vertical axis and price was plotted on the horizontal axis? Explain by selecting two correct answers.
Nothing
The correlation coefficient would increase.
Cars lose value as they pile up the road miles. The scatterplot shows the relationship between asking price (in thousands of dollars) and odometer mileage (in thousands of miles) for nineteen 2012 Ford Fusions for sale at www.carmax.com one day in August.
The correlation is r = −0.800.
What would happen to the correlation if the distance each car had been driven was measured in kilometers rather than miles? Explain by selecting two correct answers.
The correlation coefficient would remain the same.
The correlation coefficient would decrease.
Should travelers avoid flying airlines that have had crashes in the past? Writer Nate Silver asked this question in July 2014 and found some interesting results.
Here is a scatterplot showing the adjusted number of incidents (incidents per 1 trillion seat kilometers) for 56 airlines in two periods: 1985–1999 (x axis) and 2000–2014 (y axis).
How does the point highlighted in red (Aeroflot) affect the correlation? Explain by selecting three correct answers.
The red point weakens the relationship.
The red point decreases the correlation coefficient, r, making it closer to 0.
The red point is an outlier.
The red point increases the correlation coefficient, r, making it closer to 1.
The red point is part of the pattern of the data.
The red point strengthens the relationship.
Correlation Coefficients can only be calculated between two quantitative variables.
The correlation coefficient is only values from -1.0 to +1.0.