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Correlation vs Causation and Fitting lines to Scatterplots

Total questions: 11

Worksheet time: 7mins

Name
Class
Date
1.

Number of steps taken per day and number of kilometers walked per day. r=.92r=.92  

Indicate the type of correlation and tell if it's an example of causation.

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

e)

This is an example of causation

2.

Average time spent listening to music per day and average time spent watching TV per day.  r=.17r=-.17  

Indicate the type of correlation and tell if it's an example of causation.

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

e)

This is an example of causation

3.

The distance traveled for a trip and the amount of gallons of gas in car  r=.86r=-.86  

Indicate the type of correlation and tell if it's an example of causation.

a)

strong positive

b)

strong negative

c)

weak positive

d)

weak negative

e)

This is an example of causation

4.

Sort each statement into one of three categories: Correlation, Causation, No Relationship.

a)

The number of cold, snowy days and the amount of hot chocolate sold.

1.

Correlation

b)

The amount of time a phone is used and its battery percentage

2.

Causation

c)

Number of pets someone has and number of books a person has read.

3.

No Relationship

5.

Sort each statement into one of three categories: Correlation, Causation, No Relationship.

a)

The number of cars travelling during a holiday weekend and the number of accidents reported.

1.

Correlation

b)

The number of miles driven and the amount of gas used on a trip to Disneyworld.

2.

Causation

c)

Test scores and shoe size.

3.

No Relationship

6.

The data given in the table below show some of the results of a study comparing the height of a certain breed of dog, based upon its mass.

What does the correlation coefficient suggest about this data set?

The correlation coefficient is approximately ​ (a)   , which suggests there is a ​ (b)   correlation

Choose from the below words
0.34
weak, positive
strong, positive
0.29
0.11
7.

A scatter plot was constructed on the graph below and a line of best fit was drawn.

What is the equation of this line of best fit?

a)

y = x + 5

b)

y = 5x + 25

c)

y = 5x + 5

d)

y = x + 25

8.

The scatterplot shows the relationship between the amount of money made while babysitting and the hours.

Which function best fits the data shown in the scatter plot?

a)

f(x)=xf\left(x\right)=x

b)

f(x)=23x+1f\left(x\right)=\frac{2}{3}x+1

c)

f(x)=32x+1f\left(x\right)=\frac{3}{2}x+1

d)

f(x)=32x+4f\left(x\right)=\frac{3}{2}x+4

9.

The table below shows the number of grams of carbohydrates, x, and the number of Calories, y, of six different foods.

Which equation best represents the line of best fit for this data set?

a)

y=15xy=15x

b)

y=0.07xy=0.07x

c)

y=0.1x0.4y=0.1x-0.4

d)

y=14.1x+5.8y=14.1x+5.8

10.

Sort each statement into one of three categories: Correlation, Causation, No Relationship.

a)

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

1.

Correlation

b)

The amount of cars a salesman sells and the amount of commission he makes.

2.

Causation

c)

Person's height and how fast they drive.

3.

No Relationship

11.

Which situation BEST represents causation?

a)

When the number of bus stops increases, the number of car sales decreases

b)

When fewer firefighters report to a house fire, the damage caused by the fire decreases

c)

When ice cream sales increase, incidents of sun burn increase

d)

When it rains several inches, the water level of a lake increases