Number of Games Rented 0 1 2 3 4 5 6

Question

Dollars Spent 0 5 10 15 20 25 30
Use the data to report a bivariate data analysis. The correlation coefficient is r=1
. Which of the following statements must be true?

(1 point)
Responses

The more games rented, the more dollars spent.
The more games rented, the more dollars spent.

The fewer games rented, the more dollars spent.
The fewer games rented, the more dollars spent.

The more games rented, the fewer dollars spent.
The more games rented, the fewer dollars spent.

There is no correlation between the number of games rented and the number of dollars spent.
There is no correlation between the number of games rented and the number of dollars spent.

Answer 1

Given that the correlation coefficient \( r = 1 \), this indicates a perfect positive linear relationship between the two variables: the number of games rented and the dollars spent. Therefore, we can conclude the following:

• The more games rented, the more dollars spent.

This statement must be true because as the number of games rented increases, the dollars spent also increase linearly.

The other statements are false given that \( r = 1 \):

• The fewer games rented, the more dollars spent. (False)
• The more games rented, the fewer dollars spent. (False)
• There is no correlation between the number of games rented and the number of dollars spent. (False)

Thus, the correct statement is:

The more games rented, the more dollars spent.