For the following sets of variables, determine if one variable has an effect on the other:
Arm length \left(\text{cm}\right), Weight \left(\text{kg}\right)
Temperature \left(\degree\text{C}\right), Distance from the equator \left(\text{km}\right)
Weekly income \left(\$\right), Number of friends
Time of travel (minutes), Distance covered \left(\text{m}\right)
Age (years), Time spent watching television (hours)
Time spent working (hours), Wages earned \left(\$\right)
Time spent to finish novel (hours), Number of pages
Marital status, Film preference
Height \left(\text{cm}\right), Number of children
Hair length, Gender
Number of pets, Time spent caring for pets (hours)
Time spent training (hours), Athletic performance
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:
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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?
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?
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:
A study was performed to find the relationship between the number of soft drinks consumed per week and the waist circumference of students.
Which variable is the explanatory variable?
Which variable is the response variable?
Which variable should be put on the x-axis?
Which variable should be put on the y-axis?
Several young children were observed, and the number of words they know were 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?
Let the x-axis represent the time spent exercising in hours while the y-axis represent the time spent reading in hours.
Identify the response variable from the given scatterplot.
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.
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?
In a study on basketball players, it was found that the response variable is the number of 3-point shots scored.
Which of 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 (hours)
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?
For each of the following scenarios, identify the response variable and the explanatory variable:
A proposed area of research has the title "Can we use people's age to predict how much time they spend exercising each day?"
A group of students are investigating how effective different bacterial soaps are at killing germs.
A student observes a relationship between petrol prices and the day of the week.
A kite can rise to a height of 140 \text{ ft} when the wind is blowing at 11 miles per hour and to a height of 280 \text{ ft} when the wind is blowing at 22 miles per hour.
Identify the response and explanatory variables.
The back-to-back stem plot 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.
Determine if the following statements are true or false:
The explanatory variable cannot be determined without further information.
The number of performers is the explanatory variable.
The time spent making costumes is the explanatory variable.
The amount of materials needed is the explanatory variable.
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:
Is the response variable or explanatory variable shown on the horizontal axis?