The website rottentomatoes.com publishes two kinds of ratings for movies released in theaters or on streaming services: a critics score and an audience score. The critics score equals the percentage of professional movie critics registered with Rotten Tomatoes who have given a movie a positive review (a rating of 3.5 and above). The audience score equals the percentage of regular users of the website who have given the movie a positive review. The data file Rotten Tomatoes on the book’s website lists these two scores for 74 movies reviewed in June and July 2019. For instance, the movie Shazam!

received a critics score of 91% and an audience score of 84%. The following scatterplot, obtained via the Linear Regression app, shows these data and other information.

a. Describe the relationship.

b. State the prediction equation and find the predicted audience score and the residual for the movie Shazam!.

c. Is the regression equation overestimating or underestimating the audience score for the movie Shazam!
based on its critics score?.

d. The scatterplot identifies the movie The Souvenir. Is the regression equation over- or underestimating it’s audience score based on its critics score?

e. Do you think critics score is a good predictor of audience score? Cite and interpret an appropriate statistic.

Transcribed Image Text:

100 Scatterplot Rotten Tomatoes Audience and Critics Scores for 74 Movies 90 Audience Score g 80 20 70 60 50 90 40 30 Movie: The Souvenir 20 40 60 80 100 Critic Score Linear Regression Equation: Parameter Model Summary: Estimate Intercept 46.07 Statistic Value Correlation Coefficient r 0.366 Slope (Critic Score) 0.2495 Residual Standard Deviation Coefficient of Determination 13.4% 18.55