In 2016, 13.27 million people attended a Broadway show, paying an average of more than $100 per ticket. We?d like to understand this $1.4 billion business better. The Broadway League, Inc. (www .broadwayleague.com/research/statistics-broadway-nyc/), provides some historical and current data. The following variables are available for each year since the 1984?1985 season:

Season (The initial year of the season, so the 1984?1985 season is 1984.)Gross ($M)

Attendance (M) Note: Before 2009 this is Paid Attendance.

Beginning 2009 it is Attendance.)

Playing weeks (Total weeks during each show performed, summed over all shows; the best measure of

Broadway?s overall activity.)

Here are some plots and background information.

a) Name and check (to the extent possible) the regression assumptions.

b) If we found a regression of Gross receipts on New Productions, what would the R² of that regression be?

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Correlations Playing Gross New (ŞM) Attendance Weeks Productions 1.000 Gross Attendance Playing Weeks New Productions 1.000 0.977 0.905 1.000 0.375 0.873 0.977 1.000 0.575 0.411