c) Calculate the error (residual) for a roller coaster with a Height Speed height of 105ft. (You can round your predicted value to (feet) the tenths place to make this easier.) Is the error within (mph) one standard error of the prediction? Explain. 57 50 72 44 84 50 105 70 118 56 150 72 160 85 161 65 d) Calculate the residual for a roller coaster with a height of 318ft. (You can round your predicted value to the tenths 170 74 place to make this easier.) Is the error within one 181 70 standard error of the prediction? Explain. 185 70 205 82 208 77 209 80 226 70 249 78 318 95 415 100 e) Explain how to use the residual plot to check your answers to (c) and (d). 420 120 456 128 Residuals vs, height Residuals 15 10 5 () Predict the speed of a roller coaster with a height of 300 feet -5 and give an interval that takes error into account. -10 100 200 300 400