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- 1. Multiple Choice
Which of these graphs represents the residuals for a scatter plot that is fit well by a linear model?
- 2. Multiple Choice
Twenty-one young men got a quote for the cost of a car insurance policy. The policy cost and ages of the men are shown in the scatter plot. Select all the statements that are true based on the scatter plot.
Every 19-year-old in this group has a lower cost of car insurance than the 18-year-olds.
Car insurance policy cost tends to decrease as age of the driver increases.
The value of the correlation coefficient is very close to -1, so there is no association between age and car insurance policy cost.
The line of best fit indicates that, in general, the cost of a car insurance policy for a 21-year-old should be, on average, about $315 less than the cost of a car insurance policy for a 20-year-old.
The -intercept from the line of best fit indicates that, if the linear trend holds, a car insurance policy would be $0 for a person who is about 8,897 years old.
- 3. Multiple Choice
A company that makes scarves has many different styles and colors that people can order. The data in the graph suggest a linear association. Which of the functions best represents the equation of the line of best fit?
- 4. Multiple Choice
Kiran collects data about the number of trees on school property and the average standardized test scores for those schools. Kiran says, "The scatter plot between the number of trees on a school property and student standardized tests scores shows a strong and positive correlation. An increase in the number of trees on school property causes the students to score better on standardized tests."
What does it mean for the relationship between the variables when the correlation is strong in this situation?
A strong correlation means the model fits the data very well. Here, the number of trees seems to be a good predictor of student standardized test scores.
A strong correlation means the model fits the data very well. Here, the standardized test scores seems to be a good predictor of the number of trees on school property.
The correlation is weak and the model does not fit the data well.
This is a medium positive correlation
- 5. Multiple Choice
Kiran collects data about the number of trees on school property and the average standardized test scores for those schools. Kiran says, "The scatter plot between the number of trees on a school property and student standardized tests scores shows a strong and positive correlation. An increase in the number of trees on school property causes the students to score better on standardized tests."
What does it mean for the relationship between the variables when the correlation is positive in this situation?
A positive correlation means that both variables tend to increase together. In this case, it means higher test scores tend to go with more trees on school grounds.
The correlation does not appear to be positive.
A positive correlation means that both variables tend to increase together. In this case, it means that more trees on school property usually goes along with better standardized test scores.
The correlation is negative.
- 6. Multiple Choice
Kiran collects data about the number of trees on school property and the average standardized test scores for those schools. Kiran says, "The scatter plot between the number of trees on a school property and student standardized tests scores shows a strong and positive correlation. An increase in the number of trees on school property causes the students to score better on standardized tests."
What is wrong with the last sentence of Kiran's statement?
There is no evidence of a relationship between trees and test scores.
I don't know, but I will work hard today to try and find the answer.
Although the variables are related, there is not likely a causal relationship. Trees probably do not directly influence test scores as much as other factors that might be related.
False
- 7. Multiple Choice
A student surveyed 100 adults who took either vitamin C, zinc, or echinacea supplements to prevent getting a cold. The adults were asked if they had a cold or no cold in the last 30 days. The results are shown in the table.
What proportion of adults in the survey took vitamin C?
56%
41%
15%
74%
- 8. Multiple Choice
A student surveyed 100 adults who took either vitamin C, zinc, or echinacea supplements to prevent getting a cold. The adults were asked if they had a cold or no cold in the last 30 days. The results are shown in the table.
What proportion of adults who took zinc reported having a cold in the last 30 days?
5%
29%
17%
19%
- 9. Multiple Choice
A student surveyed 100 adults who took either vitamin C, zinc, or echinacea supplements to prevent getting a cold. The adults were asked if they had a cold or no cold in the last 30 days. What proportion of adults who reported having no cold took vitamin C?
41%
74%
55%
16%
- 10. Multiple Choice
The purchasing habits of 1,000 grocery shoppers are noted. No association is found between the variables. If you are completing the table what % of shoppers would purchase milk but not purchase eggs?
65%
35%
No idea, I will look up how to do.
- 11. Multiple Choice
The data in the scatter plot suggest a linear association. A line to model the data is given by .
Using the model what would the residual be at point (10, 160)?1
2
.5
0
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