help with 0.16 a, b, c and d please. all the info you need to answer the questions are written above 0.16.

e). 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: 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 roller 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. 0.16 Roller coasters: multiple predictors. Refer to the information about roller coasters in Exercise 0.15. Some other predictor variables available at the database include: age, total length, maximum height, and maximum vertical drop. Suppose that we include all of these predictor variables in a statistical model for predicting the top speed of the coaster. a. For each of these predictor variables, indicate whether you expect its coefficient to be positive or negative. Explain your reasoning for each variable. b. Which of these predictor variables do you expect to be the best single variable for predicting a roller coaster's top speed? Explain why you think that. The following statistical model was produced from these data: Speed = 33.4 + 0.10Height + 0.11Drop + 0.0007Length - 0.023Age - 2.0TypeCode + E c. Comment on whether the signs of the coefficients are as you expect. d. What top speed would this model predict for a steel roller coaster that is 10 years old, with a maximum height of 150 feet, maximum vertical drop of 100 feet, and length of 4000 feet