[EX03-046] Movie production companies spend millions of dollars to produce movies with the great hope of attracting millions of people to the theater. The success of a movie can be measured in many ways, two of which are the box office receipts and the number of Oscar nominations received.

Following is a list of ten 2005 movies and their corresponding

“report cards.” Each movie is measured based on its budget cost (in millions of dollars), its box office receipts (in millions of dollars), and the number of Oscar nominations it received.

Movie Budget Box Office Nominations The Aviator 110 82.3 11 Finding Neverland 24 42.5 7 Million Dollar Baby 30 44.9 7 Ray 35 74.7 6 Sideways 16 52.8 5 Hotel Rwanda 17 14.2 3 Vera Drake 8.5 2.8 3 Eternal Sunshine of the 20 34.1 2 Spotless Mind Being Julia 10 5.1 1 Maria Full of Grace 3 6.5 1 Source: USA Today, February 8, 2005, “A quick guide to movies up for top awards”

a. Draw a scatter diagram using x  budget and y  box office.

b. Does there appear to be a linear relationship?

c. Calculate the linear correlation coefficient, r.

d. What does this value of correlation seem to be telling us? Explain.

e. Repeat parts a through d using x  box office and y  nominations.