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 amount of soil in the garden

The number of hours spent watering the plants

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 at the shop

The time spent getting to the shops

What is the explanatory variable in a study?

The variable that explains the outcome of the study

The variable that measures the outcome of the study

The variable plotted on the x-axis of a scatter plot

The variable plotted on the y-axis of a scatter plot

The amount of time studying for your next test and the grade you earn on it. Which is the explanatory variable?

Amount of time studying for your next test

The amount of time studying for your next test and the grade you earn on it. Which is the response variable?

Amount of time studying for your next test

Records of sales of umbrellas and amount of rainfall suggests that there is a strong positive relationship between the two variables. What do you think about the situation in terms of explanatory and response variables?

Amount of rainfall is an explanatory variable

Amount of sales of umbrellas is an explanatory variable.

The connection between the variables is not clear

The two variables are independent of each other.

In the relationship between the number seeds planted in a garden and the number of fruit grown. The response variable is

The amount of soil in the garden

The number of hours spent watering the plants

Which of the following is true?

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

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

In a survey at school, it is found that grades in Mathematics and hours of time spent on completing homework has an association. Which variable is the response variable?

Connection between the variables is not clear

Time spent completing homework as it determines the grade in mathematics.

The response variable is:

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

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

Sometimes called the independent variable (IV)

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

Both Grades earned and Hours spent studying

An admissions officer at Columbia University believes that the math SAT score for incoming students can be predicted using their reading and writing SAT score. The scatterplot shows the reading and writing scores and math SAT scores of 15 incoming students at Columbia University. Which variable is the explanatory variable? Which is the response variable?

Reading and writing SAT score is the explanatory variable; math SAT score is the response variable.

Math SAT score is the explanatory variable; reading and writing SAT score is the response variable.

Both are explanatory variables.

In a study of the age of students and whether they are allowed to stay up past 9pm on a school night, which is the explanatory variable?

Whether the student can stay up past 9pm on a school night

In a study of the age of students and whether they are allowed to stay up past 9pm on a school night, which is the response variable?

Whether or not a student is allowed to stay up past 9pm on a school night

Identify the response variable: Whether or not a person develops lung cancer and smoking status (smoker or non-smoker).

Whether or not a person develops lung cancer.

Smoking status (smoker or non-smoker)

Mrs. S knew that students who attended her morning study sessions performed better on math tests but very few students attended them. She wanted to test if bringing doughnuts to the study sessions would increase student attendance. She continued to advertise the sessions in the same method and hold sessions at the same time. The only difference was that she brought doughnuts to the session. She had a 50% increase in attendance when she brought the doughnuts. What is the dependent (response) variable?

The number of students who attend the study session

Mrs. S knew that students who attended her morning study sessions performed better on math tests but very few students attended them. She wanted to test if bringing doughnuts to the study sessions would increase student attendance. She continued to advertise the sessions in the same method and hold sessions at the same time. The only difference was that she brought doughnuts to the session. She had a 50% increase in attendance when she brought the doughnuts. What is the independent (explanatory) variable?

The number of students in attendance

Explanatory and Response Variables

Authored by Tricia Struzzieri

Mathematics

12th Grade

CCSS covered

Used 16+ times

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32 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

The higher the temperature of the air in the oven, the faster a cake will bake. Find the explanatory variable.

Oven temperature

Time to bake

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Lemon trees receiving the most water produced the most lemons. Find the explanatory variable.

Water received

Lemons produced

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The time it takes to run depends on the person's running speed. Find the response variables.

Time

Running speed

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A study was done to find if different tire treads affect the braking distance of a car. Explanatory variables.

Braking distance

Tire treads

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The higher the temperature of the air in the oven, the faster a cake will bake. Find the response variable.

Oven temperature

Time to bake

MULTIPLE CHOICE QUESTION

1 min • 1 pt

An explanatory variable is...

Dependent

Independent

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A response variable is...

Depedent

Independent

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Explanatory and Response Variables

The higher the temperature of the air in the oven, the faster a cake will bake. Find the explanatory variable.

Lemon trees receiving the most water produced the most lemons. Find the explanatory variable.

The time it takes to run depends on the person's running speed. Find the response variables.

A study was done to find if different tire treads affect the braking distance of a car. Explanatory variables.

The higher the temperature of the air in the oven, the faster a cake will bake. Find the response variable.

An explanatory variable is...

A response variable is...

An explanatory variable is on the Y axis.

The response variable can be found along the Y axis.

The explanatory variable is the variable that we expect to explain or predict the response variable.

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