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1.015 Explanatory and response variables

Worksheet
Explanatory and response variables
1

Identify the explanatory and response variable in each pair given below:

a

Gender, Favourite dog breed

b

Child's eye colour, Parent's eye colour

c

Country of birth, Language spoken at home

d

Favourite ice cream flavour, Birth place

2

In a study on car accidents, the response variable was "type of injury". Give an example of a possible explanatory variable.

3

In a study on professional careers, the response variable was "income bracket". Give an example of a possible explanatory variable.

4

In a study on sporting injuries, the explanatory variable was "type of sport". Give an example of a possible response variable.

5

In a study on houses, it was found that an explanatory variable was the amount of money spent on renovations. Give an example of a possible response variable.

6

In a study on spending habits, the explanatory variable was "type of job". Give an example of a possible response variable.

7

A graph is to display the relationship between the following variables:

  • Fitness level

  • Time spent exercising

Which of these variables should be on the horizontal axis of the graph?

8

Consider the following variables:

  • Ticket sales

  • Revenue from a show

a

State whether the following statements are correct:

i

The revenue made from a show affects ticket sales.

ii

Ticket sales affect the revenue made from a show.

b

Which is the explanatory variable and which is the response variable?

9

For each pairs of variables, state whether one variable has a direct effect on the other:

a

Arm length (cm), Weight (kg)

b

Temperature (\degreeC ), Distance from the equator (km)

c

Weekly income, Number of friends

d

Time of travel (minutes), Distance covered (m)

e

Age (years), Time spent watching television

f

Time spent working, Wages earned

g

Time spent to finish a novel, Number of pages

h

Marital status, film preference

i

Hair Length, Gender

j

Number of pets, Time spent caring for pets

k

Time spent training, Athletic performance

10

The scatter plot shows the relationship between sea temperature and the amount of healthy coral:

a

Which variable is the response variable?

b

Which variable is the explanatory variable?

11

The following graph shows the height of a ball after it is dropped off the side of a building:

a

Which variable is the response variable?

b

Which variable is the explanatory variable?

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\text{Height}
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Outcomes

3.1.3

use an appropriately percentaged two-way frequency table to identify patterns that suggest the presence of an association

3.1.8

identify the response variable and the explanatory variable for primary and secondary data

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