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 increases, rental revenue tends to select (b) for these 24 movies, there is select correlation between theater revenue and rental revenue. (c) using the line of best fit, we would predict that a movie generating a theater revenue of 60 million dollars would generate a rental revenue of approximately select

Explanation:

Step 1: 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.

Step 2: Determine the type of correlation

Since the points in the scatter - plot follow an upward - sloping pattern (as \(x\) increases, \(y\) increases), there is a positive correlation. In a positive correlation, the two variables move in the same direction.

Step 3: Use the line of best fit for prediction

Locate \(x = 60\) (theater revenue in millions of dollars) on the \(x\) - axis. Then, move vertically until you hit the line of best fit. From the line of best fit, when \(x = 60\), the corresponding \(y\) - value (rental revenue) is approximately \(12\) (in millions of dollars).

Answer:

(a) increase; (b) a positive; (c) \(12\) million dollars.