Refer to Data Set 15 in Appendix B and determine the best regression equation that expresses the response variable (y) of time interval after an eruption in terms of one or more of the variables of duration, time interval before the eruption, and height of the eruption. Explain your choice.

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Data Set 15: Old Faithful Geyser Measurements are from eruptions of the Old Faithful Geyser in Yellowstone National Park. Prediction errors are based on predicted times to the erup- tion, where a negative value corre- sponds to an eruption that occurred before the predicted time. STATDISK: Minitab: Excel: TI-83/84 Plus: Data set name is Old Faith. Worksheet name is OLDFAITH.MTW. Workbook name is OLDFAITH.XLS. App name is OLD- FAITH and the file names are the same as for text files. Text file names: Text file names are OFDUR, OFBEF, OFAFT, OFHT, OFERR. Duration (sec) 240 237 250 243 255 120 260 178 259 245 234 213 255 235 250 110 245 269 251 234 252 254 273 266 284 252 269 250 261 253 255 280 270 241 272 294 220 253 245 274 Interval Before (min) 98 92 95 87 96 90 65 92 95 93 98 94 93 93 96 89 93 89 86 69 105 92 89 93 112 95 105 94 90 98 81 69 94 92 106 93 108 87 97 102 Interval After (min) 92 95 92 100 90 65 92 72 93 98 94 80 93 83 89 66 89 86 97 105 92 89 93 112 88 105 94 90 98 81 101 94 92 106 93 96 87 97 86 92 Height (ft) 140 140 148 130 125 110 136 125 115 120 120 120 150 140 136 120 148 130 130 136 130 115 136 130 138 120 120 120 95 140 125 130 130 110 110 125 150 130 120 95 Prediction Error (min) 4 -2 1 OGUN ONA=ONNTWOWOWA GIGNILOALINOAN. 20