Correlation: Relationships Between Variables

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

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

Estimate the value of r:

• -0.7

• 0.35

• 0.98

• 0.65

Estimate the value of r:

• 0.83

• 0.10

• -0.75

• 0.52

Estimate the value of r:

• 0.03

• -0.99

• 0.79

• -0.72

Estimate the value of r:

• 0.99

• 0.05

• -0.99

• 0.78

Estimate the value of r:

• -0.36

• -0.83

• 0.99

• 0.75

A correlation coefficient of 0.85 indicates that there is:

• a weak negative relationship between the variables involved.

• a weak positive relationship between the variables involved.

• a moderate positive relationship between the variables involved

• a strong positive relationship between the variables involved.

How would you describe this association?

• Strong positive linear

• Weak positive linear

• Moderate positive linear

• No association