Answer the questions on page 178.

- Using 9 inch tiles, find the win/loss proportion for 5 different sizes of disk (all under 4 inches), and
record the size and percentage of wins.

- Make a scatterplot of your data.

- Find the linear regression line. What is the equation?
- Use the equation to predict the percentage of wins for 5, 6, and 7 inch disks.

- Use the simulation to see if the data match your predictions.
- Did they match?
- Try a non-linear model (make a linear regresson line with the log(% of wins) vs. size rather than
% of wins vs. size like we did last week in class... see pages 180-181, 185.

- What is the the equation for the logarythmic model (see p. 185)?
- Use this equation to predict 5, 6, and 7 inch disks. Is it a better estimate than the first equation you used?
- If the disk is 3" and the tile is 9" what would be a fair jackpot if it costs $1 to play?
- What would be a fair size disk (50% wins) for 4 inch tiles?
- What would be a fair size disk (50% wins) for 6 inch tiles?
- What would be a fair size disk (50% wins) for 9 inch tiles?
- What would be a fair size disk (50% wins) for 12 inch tiles?
- What would be a fair size disk (50% wins) for 16 inch tiles?
- Is there a pattern? Make a scatterplot/regression line to predict the fair size disk for a 18, 20, and 24 inch grid.

This simulation was written by Fr. Chris Thiel, OFMCap