Data on roller coasters at Canada’s Wonderland are available in the data file and include Speed, Height, and Number of Inversions. We performed a regression to investigate whether
Speed is related to Height, and then added indicator variables to take into account the number of inversions: none, one, or more than one. Here are the results: Independent variable is Speed.

ANOVA

a) What does the coefficient for the indicator variable for “one” mean?

b) Why is there no indicator variable for “none”?

c) Does the information about the Number of Inversions contribute to estimating the Speed?

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df MS Significance F Regression 3 4693.345 1564.448 13.38293 7 818.2916 116.8988 10 5511.636 0.002761 Residual Total Standard Coefficients Error t-Stat P-Value 7.063941 5.461876 0.000944 Intercept 38.58237 1.198282 0.250517 4.783233 0.002005 7.690357 8.895165 0.864555 0.415924 6.667451 11.65581 Height More than one 0.572028 0.585196 One