Question

the scatter plot shows the theater revenue and rental revenue for each of 24 movies. also shown is the line of best fit for the data. fill in the blanks below. (a) for these 24 movies, as theater revenue inc tends to increase. (b) for these 24 movies, there is a positive theater revenue and rental revenue. (c) using the line of best fit, we would predict tl 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 the \(x\) - value (theater revenue) increases, the \(y\) - value (rental revenue) also moves in an upward direction. So, for part (a), as theater revenue increases, rental revenue tends to increase.
For part (b), since the general trend of the scatter - plot is that when one variable (theater revenue) increases, the other variable (rental revenue) also increases, there is a positive relationship between theater revenue and rental revenue.

Step2: Estimate the value using the line of best fit

To find the rental revenue when the theater revenue is \(x = 60\) million dollars, we look at the \(y\) - value on the line of best fit corresponding to \(x = 60\). By visual inspection of the scatter - plot and the line of best fit, when \(x=60\), the \(y\) - value (rental revenue) is approximately \(11.5\) million dollars.

Answer:

(a) increase; (b) a positive; (c) \(11.5\) million dollars.