Use the table to answer the question.

Question

Number of Games Rented 0 1 2 3 4 5 6
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 fewer games rented, the more dollars spent.
The fewer games rented, the more 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.

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

The more games rented, the fewer dollars spent.

Answer 1

Given the correlation coefficient \( r = 1 \), this indicates a perfect positive linear relationship between the number of games rented and the dollars spent. In other words, as the number of games rented increases, the amount of dollars spent also increases proportionally.

Let's evaluate the statements:

1. The fewer games rented, the more dollars spent.
   This is not true, as fewer games rented would correspond to less dollars spent.

2. There is no correlation between the number of games rented and the number of dollars spent.
   This is incorrect, as \( r = 1 \) indicates a perfect positive correlation.

3. The more games rented, the more dollars spent.
   This is true, as a perfect positive correlation means that with more games rented, the amount spent increases.

4. The more games rented, the fewer dollars spent.
   This is also not true, for the same reasons as the first statement.

Therefore, the true statement is:

The more games rented, the more dollars spent.