Question

the scatter plot shows the theater revenue and rental revenue for each of 25 movies. also shown is the line of best fit for the data. fill in the blanks below. (a) for these 25 movies, as theater revenue inc (in millions of dollars) 2.5 million dollars, tends to increase 5.5 million dollars. 11.5 million dollars. (b) for these 25 movies, there is a positive 14.5 million dollars, theater revenue and rental revenue. (c) using the line of best fit, we would predict th 19 million dollars. a theater revenue of 60 million dollars would generate a rental revenue of approximately select

Explanation:

Step1: Analyze the scatter - plot trend

Looking at the scatter - plot, as theater revenue increases, rental revenue decreases. So for part (a), the relationship is that as theater revenue increases, rental revenue decreases.

Step2: Check the line of best - fit for prediction

For part (b), we use the line of best - fit. When theater revenue is \(60\) million dollars, we look at the corresponding value on the line of best - fit for rental revenue.

Step3: Read the value from the line of best - fit

On the line of best - fit, when theater revenue \(x = 60\) (million dollars), the rental revenue \(y\) is approximately \(14.5\) million dollars.

Answer:

(a) For these 25 movies, as theater revenue increases, rental revenue decreases.
(b) For these 25 movies, there is a negative correlation between theater revenue and rental revenue.
(c) Using the line of best fit, we would predict that a theater revenue of 60 million dollars would generate a rental revenue of approximately 14.5 million dollars.