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Correlation and Causal Relationships

Total questions: 14

Worksheet time: 14mins

Name
Class
Date
1.

Which of the following statements shows a relationship that is correlated but not causal?

a)

The amount of rainfall received and level of water in the lake.

b)

The number of lights left on each day and the amount of the electric bill. 

c)

The increase of warm, sunny days and the number of ice cream vendors visible. 

d)

The number of hours worked and how much money is made.

2.

Which of the following statements shows a causal relationship and not just a correlated one?

a)

An individual's decision to work in construction and his diagnosis of skin cancer. 

b)

A decrease in temperature and the increase in attendance at an ice skating rink. 

c)

As a child's weight increases so does her vocabulary. 

d)

The number of minutes spent exercising and the amount of calories burned. 

3.

This implies that one variable has a direct affect on the other variable.

a)

Correlation

b)

Causation

4.

Which example shows CAUSATION?

a)

Stress level and desire for chocolate.

b)

Eating more butter and increased divorce rates.

c)

It started raining and the baseball game was delayed.

5.

Estimate the value of r:

a)

0.83

b)

0.10

c)

- 0.75

d)

1

6.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

7.

What type of correlation does this graph have?

a)

positive linear

b)

negative linear

c)

positive nonlinear

d)

negative nonlinear

8.

Based on the graph, if Joe earned $400, how many hours did he work?

a)

20 hours

b)

35 hours

c)

45 hours

d)

15 hours

9.

Which scatter plot shows a LINEAR relationship between x and y?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

10.

Which sentence describes the relationship shown on this scatterplot?

a)

As the temperature decreases, the visitors increase. 

b)

As the temperature increases, the number of visitors increases. 

c)

As the visitors increase, the temperature decreases. 

d)

No correlation

11.

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

a)

A

b)

B

c)

C

d)

D

12.

As x increases, y increases

a)

both positive and negative correlation

b)

no correlation

c)

positive correlation

d)

negative correlation

13.

What type of correlation (association) would we see in the scatter plot of the following situation?
The outside temperature and the amount of layers of clothing you wear. 

a)

Positive correlation

b)

Negative correlation

c)

No correlation

d)

All of the above

14.

The scatter plot below shows the number of books read by students in Mrs. Hall’s English class and their final grades. Which statement represents the best description about the line of best fit?

a)

The more books students read, the lower their English grade.

b)

The more books students read, the higher their English grade.

c)

The fewer books students read, the higher their English grade. 

d)

No relationship exists between the number of books students read and their English grades.