Question

15 16 19 20 r 21 F 23 A movie studio wishes to determine the relationship between the revenue from the rental of comedies on DVD and videotape and the revenue generated from the theatrical release of such movies. The studio has bivariate data from a sample of 13 comedies released over the past five years. These data give the revenue x from theatrical release (in millions of dollars) and the revenue y from DVD and videotape rentals (in millions of dollars) for each of the 13 movies. The least squares regression equation computed from the data is y3.71 +0.10x The studio has plans for the DVD/video release of a comedy that grossed about 48.1 million dollars in theaters. The studio has predicted the rental revenue from this release using the regression equation and is now interested in both a prediction interval for this rental revenue and a confidence interval for the mean rental revenue of movies generating this same theater revenue. The studio has already computed the following for their data: . mean square error (MSE)13.75; (48.1-5T- 0.1770 0.1770, 13 13 HP Audio Switch Speakers , x13 denote the theater revenues in the sample, and x denotes their mean. where 지.rr Internal Spe Based on this information, and assuming that the regression assumptions hold, answer the questions in the table below Example Audio Contrel ) Type here to search questions lh the table hold, answer the (If necessary, consult a list of formulas.) | Lower limit Upper limit: 1, what is the 99% prediction interval for an individual value for rental revenue (in millions of dollars) when the theater revenue is 48.1 million dollars? (Carry your intermediate computations to at least four decmal places, and round your answer to at least one decimal place.) 2. Choose one response to answer the question below. Choose one Consider but do not actually compute the 99% confidence interval for the mean rental revenue when the theater revenue is 48.1 million dollars. How would the prediction interval computed above compare to t this confidence interval (assuming that both intervals are computed from the same sample data)? 3. Choose one response to answerithe question below. Choose one million dollars is, that is, 18.1 is For the theater revenue values in this sample, 18.1 million dollars is more extreme than 48.1 farther from the sample mean theater revenue when the theater revenue is 48.1 million dollars compare to the 99% prediction interval for the mean rental revenue when the theater revenue is 18.1 million dollars? than 48.1 is. How would the 99% prediction interval for the mean rental revenue 0 Type here to search 46 6 4 3 2

Answer 1