Roller coasters. The Roller Coaster Database (redb. com) contains lots of information about roller coasters all over the world. The following statistical model for predicting the top speed (in miles per hour) of a coaster was based on more than 100 roller coasters in the United States and data displayed on the database in November 2003: TopSpeed = 54 + 7.6TypeCode + E where TypeCode = 1 for steel roller coasters and TypeCode 0 for wooden roller coasters. a. What top speed does this model predict for a wooden rolle coaster? b. What top speed does this model predict for a steel roller coaster? c. Determine the difference in predicted speeds in miles per hour for the two types of coasters. Also identify where this number appears in the model equation, and explain why that makes sense