Scatterplots and Correlation

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

Tags

CCSS.HSS.ID.C.7

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

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

CCSS.HSS.ID.C.9

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

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.7

CCSS.HSS.ID.C.8

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

Tags

CCSS.HSS.ID.C.7

We wish to investigate whether a person’s age can be predicted from their IQ score. Which is the explanatory variable (EV)?

• Age

• IQ Score

• Both Age and IQ Score

• None of the Above

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.9

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

Hector surveyed 500 people and asked them how far they drive to work and what the last digit of their phone number is. He used the results to make a scatter plot.

What type of association should he expect to see in the scatter plot?

• positive association

• negative association

• no association

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8

CCSS.HSS.ID.C.9

Jules conducted a survey and asked 100 people how many years of education they have and what their annual income is. She used the results to make a scatter plot.

What type of association should he expect to see in the scatter plot?

• positive association

• negative association

• no association

Tags

CCSS.HSS.ID.B.6

Label the type of association shown by the scatter plot as positive, negative or none.

• positive

• negative

• none

Tags

CCSS.HSS.ID.B.6

Is the association a positive or negative association?

• Positive
• Negative

Tags

CCSS.HSS.ID.B.6

CCSS.HSS.ID.C.8