How many weeks can a movie run and still make a reasonable profit? The data that follow show the number of weeks in release (x) and the gross to date (y) for the top 10 movies during a recent week.

a. Plot the points in a scatterplot. Does it appear that the relationship between x and y is linear? How would you describe the direction and strength of the relationship?

b. Calculate the value of r². What percentage of the overall variation is explained by using the linear model rather than yÌ… to predict the response variable y?

c. What is the regression equation? Do the data provide evidence to indicate that x and y are linearly related? Test using a 5% significance level.

d. Given the results of parts b and c, is it appropriate to use the regression line for estimation and prediction? Explain your answer.

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Gross to Date (in millions) Weeks in Release Movie 1. The Prestige 2. The Departed 3. Flags of Our Fathers 4. Open Season 5. Flicka 6. The Grudge 2 7. Man of the Year 8. Marie Antoinette $14.8 $77.1 $10.2 $69.6 $ 7.7 $31.4 $22.5 $ 5.3 $36.0 1 3 4 9. The Texas Chainsaw Massacre: The Beginning 10. The Marine 3 $12.5 2.