Question

the scatter plot shows the theater revenue and rental revenue for each of 21 movies. also shown is the line of best fit for the data. fill in the blanks below. (a) for these 21 movies, as theater revenue increases, rental (b) for these 21 movies, there is a positive correlation be and rental revenue. (c) using the line of best fit, we would predict that a movie ge nue of 50 million dollars would generate a rental revenue of approximately

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 increases. So, for part (a), the answer is “increase”.

Step2: Determine the correlation type

Since both variables (theater revenue and rental revenue) move in the same direction (as one increases, the other also increases), the correlation is positive. So, for part (b), the answer is “a positive”.

Step3: Estimate the rental revenue using the line of best fit

Locate \(x = 50\) (theater revenue of 50 million dollars) on the \(x\) - axis. Then, move up to the line of best fit and then to the \(y\) - axis. By visual inspection of the scatter - plot and the line of best fit, when \(x = 50\), \(y\approx8\). Among the given options, \(10.1\) is the closest (assuming some approximation in visual - reading).

Answer:

(a) increase
(b) a positive
(c) \(10.1\) million dollars