For the roller coaster data in Exercise 47:
a) Examine the relationship between Initial Drop and Speed.
b) Examine the relationship between Initial Drop and Height.
c) What conclusions can you safely draw about the initial drop of a roller coaster? Is Initial Drop strongly correlated with other variables as well?

Max Vert Max Speed Angle Length Location Drop((sec) Height ft.) (mphdegrees) (ft.) Initial Duration Park Rank Roller Coaster 5400 4003 5100 2454 2349 2477 155 72 221 184 300 208 188 Six Flags New England MA 1Bizarro 2 Expedition GeforceHoliday Park 3 Intimidator 305 KingsDominion 74.6 85 67.4 108 54 Tobu Zoo Alton Towers Djurs Sommerland Walibi World 4 Kawasemi 50 104 100 152 300 148 181 UK 5 Nemesis 6 Piraten 7 Goliath 8 Millennium Force Cedar Point 9 Katurn 10 Speerd 105 155 310 169 180 66.9 93 65 74.6 120 142 60 6595 3937 3281 Mirabilandia Mirabilandia 90