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8.01 Identifying dependent and independent variables

Worksheet
Dependent and independent variables
1

Consider the following variables:

  • Number of ice cream cones sold
  • Temperature outside \left(\degree \text{F}\right)
a

State the independent variable.

b

State the dependent variable.

c

Which variable affects the other?

2

Consider the following variables:

  • Ticket sales

  • Revenue from a show

a

Which variable affects the other?

b

State the dependent and independent variables.

3

For each pair of variables, state whether one variable has a direct effect on the other. If yes, state which variable affects the other.

a

Arm length (inches), Weight (pounds)

b

Temperature (\degree \text{F}), Distance from the equator (miles)

c

Weekly income, Number of friends

d

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

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

Height (centimeters), Number of children

j

Hair Length, Gender

k

Number of pets, Time spent caring for pets (hours)

l

Time spent training (hours), Athletic performance

4

In a study on houses, it was found that an independent variable was the amount of money spent (in dollars) on renovations. What is most likely to be the dependent variable?

5

A study was performed to find the relationship between the number of soft drinks consumed per week and the waist circumference of students.

a

Which variable is the independent variable?

b

Which variable is the dependent variable?

6

A kite can rise to a height of 161 \text{ m} when the wind is blowing at 6 \text{ km} per hour and to a height of 322 \text{ m} when the wind is blowing at 12 \text{ km} per hour. State the dependent and independent variables.

7

In a study on basketball players, it was found that the dependent variable is the number of three-point shots scored. What is most likely to be the independent variable?

8

For the following sets of axes, state whether the variables have been placed in the correct position:

a
b
c
d
9

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

a

Which variable is the dependent variable?

b

Which variable is the independent variable?

10

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

a

Which variable is the dependent variable?

b

Which variable is the independent variable?

\text{Time}
\text{Height}
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