Displaying Two Categorical Variables

The response variable is:

• The variable we expect to explain or predict the value of the explanatory variable.

• Sometimes called the independent variable (IV)

• The variable we expect to change in response to the explanatory variable

• Also known as EV

We wish to investigate the relationship between the number seeds planted in a garden and the number of fruit grown. The explanatory variable (EV) is

• The number of fruit grown

• The amount of soil in the garden

• The number of hours spent watering the plants

• The number of seeds planted

We wish to investigate the relationship between the time spent shopping and the number of items bought. The response variable (RV) is

• The number of items bought

• The number of items at the shop

• The time spent shopping

• The time spent getting to the shops

Which of the following is true?

• We use the response variable to explain changes that might be observed in the explanatory variable.

• The explanatory variable is the variable we expect to be explained by the response variable

• The response variable is also known as the predictor variable

• The explanatory variable is used to explain or predict the value of the response variable

Studies have shown that the marks received by a student depend on the amount of hours spent studying. Which is the response variable (RV)?

• Hours spent studying

• Marks

• Both Marks and Hours spent studying

• None of the above

Where do you plan on attending college?

• Categorical
• Quantitative

What is your favorite type of food?

• Categorical
• Quantitative

How many states have you visited in your lifetime?

• Categorical
• Quantitative

The Pew Research Center asked a random sample of 2024 adult cell-phone owners from the United States their age and which type of cell phone they own: iPhone, Android, or other (including non-smart phones). Use the information in the two-way table to make a segmented bar chart to show the relationship between age and type of cell phone.

Which of the following is the segmented bar chart?

• 
• 
• 
• You can't make a segmented bar chart for quantitative variables.

• A

• B

• C

• D

• E

Answer explanation