Instructions: Choose the best answer for each question. For multi-select questions, choose ALL correct answers.
1
A scatter plot shows the relationship between the number of hours spent exercising per week and resting heart rate. As exercise hours increase, resting heart rate decreases. What type of association does this scatter plot show?
A Positive linear association
B Negative linear association
C No association
D Positive non-linear association
2
The table shows data collected on the relationship between outside temperature and the number of hot drinks sold at a cafe.
Temperature (F)
30
40
50
60
70
80
Hot Drinks Sold
85
72
58
45
30
18
Which statement best describes the association shown by this data?
A There is a positive association; as temperature increases, hot drink sales increase.
B There is a negative association; as temperature increases, hot drink sales decrease.
C There is no association between temperature and hot drink sales.
D There is a non-linear association between the variables.
3
A scatter plot with a positive linear association has a line of best fit that passes through the points (2, 25) and (10, 65). What is the best prediction for the y-value when x = 6?
A 35
B 45
C 50
D 55
4
Multi-Select: Which of the following statements about scatter plots and associations are TRUE?
Select ALL that apply.
A A positive association means both variables increase together.
B The line of best fit must pass through every data point.
C Association between two variables proves that one causes the other.
D A negative association means as one variable increases, the other decreases.
E The line of best fit should have approximately equal points above and below it.
5
A researcher collects data on the age of cars (in years) and their fuel efficiency (miles per gallon). The scatter plot shows a negative linear association. Which interpretation is correct?
A Older cars tend to have better fuel efficiency than newer cars.
B As cars get older, their fuel efficiency tends to decrease.
C There is no relationship between car age and fuel efficiency.
D Newer cars always have worse fuel efficiency than older cars.
6
A line of best fit for a scatter plot has the equation y = 3x + 12. The scatter plot shows the relationship between hours worked (x) and money earned (y) in dollars. What does the slope (3) represent in this context?
A The starting amount of money earned is $3.
B For every additional hour worked, earnings increase by $3.