Question

page 11 of 11
Using a Model from a Dataset Quick Check
5 of 55 of 5 Items















Question
Use the table to answer the question.

This table shows the relationship between the number of games rented and the dollars spent, indicating a consistent cost of $5 per game.
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?

Answer 1

r = 1 means a perfect positive linear relationship. From the table that implies:

- All points lie exactly on a single straight line with positive slope (here dollars = 5 × number of games).
- The least-squares line fits the data exactly (you can predict dollars from games perfectly).
- r^2 = 1, so 100% of the variation in dollars is explained by number of games.

It does NOT imply causation (correlation =/=> causation).