Consider the following variables:
Temperature \left(\degree\text{C}\right)
Number of ice cream cones sold
Does the change in temperature affect the number of ice cream cones sold?
Which is the explanatory variable?
Which is the response variable?
Consider the following variables:
-
Ticket sales
Revenue from a show
Does the ticket sales affect the revenue made from a show?
Which is the explanatory variable?
Which is the response variable?
For the following sets of variables, state whether one variable has an effect on the other:
Arm length \text{(cm)}, Weight \text{(kg)}
Temperature (\degree \text{C}), Distance from the equator \text{(km)}
Weekly income (\$), Number of friends
Time of travel (minutes), Distance covered \text{(m)}
Age (years), Time spent watching television (hours)
Time spent working (hours), Wages earned (\$)
Several young children were observed, and the number of words spoken was recorded in the table below:
| Number of words spoken | 51 | 29 | 50 | 10 | 14 | 24 | 58 |
|---|---|---|---|---|---|---|---|
| Age (in months) | 26 | 21 | 25 | 18 | 17 | 19 | 26 |
Which variable is the response variable?
An equation to predict the population P of a suburb, based on the area A (in \text{km}^2) is: P = 6100 + 2400 A
Which variable is the response variable?
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.
In a study on basketball players, it was found that the response variable is the number of 3-point shots scored.
Determine which of the following variables is most likely to be the explanatory variable:
Points scored in each game.
Number of games won.
Number of teams playing.
Time spent training.
A person's hand span can be predicted from their height using the equation: 2.78 + 0.45 \times \text{height } = \text{hand span}
Which variable is the explanatory variable?
A study was performed to find the relationship between the number of soft drinks consumed per week and the waist circumference of students.
State whether the the following sentences are correct:
The number of soft drinks consumed is the explanatory variable and thus belongs to the y-axis.
The waist size is the response variable and thus belongs to the y-axis.
The waist size is the response variable and thus belongs to the x-axis.
The waist size is the explanatory variable and thus belongs to the x-axis.
The number of soft drinks consumed is the explanatory variable and thus belongs to the x-axis.
The number of soft drinks consumed is the response variable and thus belongs to the y-axis.
A kite can rise to a height of 140 ft when the wind is blowing at 11 miles per hour and to a height of 280 ft when the wind is blowing at 22 miles per hour.
Identify the response and explanatory variables.
A proposed area of research has the title "Can we use people's age to predict how much time they spend exercising each day?"
State the explanatory and response variables for this research topic.
A student observes a relationship between petrol prices and the day of the week.
State the explanatory and response variables for this relationship.
The back-to-back stem plot below shows the speed (in \text{km/h}) of car drivers and motorcycle riders as recorded on a road with a 60 \text{ km/h} speed limit.
Identify the response variable and the explanatory variable.
| Car drivers | Motorcycle riders | |
|---|---|---|
| 8 | 4 | |
| 8\ 6\ 4 | 5 | 8\ 9 |
| 5\ 4\ 0\ 0 | 6 | 0\ 3\ 5\ 6\ 8 |
| 7 | 3 |
The drama department are making costumes for their school's upcoming musical. The amount of materials needed for costumes will be determined by the number of performers in the musical.
State the response variable and the explanatory variable for this situation.
Which of the following images has the variables placed in the correct positions?
The scatter plot shows the relationship between sea temperature and the amount of healthy coral:
Which variable is the response variable?
Which variable is the explanatory variable?
The following graph shows the height of a ball after it is dropped off the side of a building:
Which variable is the response variable?
Which variable is the explanatory variable?
A teacher wants to investigate the relationship between the number of hours spent watching TV and the results of a mathematics test for the students in her class. She collects the data, and is going to display her results in a scatterplot.
Determine if the following sets of axes show the correct set up for the explanatory and response variables:
State the response variable from the following scatterplot:
The sale of ice cream at a grocery store was recorded each day during summer and winter. A parallel box plot was constructed, showing no labels:
Determine whether the explanatory or response variable is shown on the horizontal axis for the box plots.