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The accompanying data file contains 35 observations for an ice cream truck drivers daily income (Income in $), number of hours on the road (Hours),

The accompanying data file contains 35 observations for an ice cream truck drivers daily income (Income in $), number of hours on the road (Hours), whether it was a particularly hot day (Hot = 1 if the high temperature was above 85F, 0 otherwise), and whether it was a Holiday (Holiday = 1, 0 otherwise). Consider two models where Model 1 predicts Income on the basis of Hours, Hot, and Holiday and Model 2 also includes the interaction between Hot and Holiday.

a-1. Use the holdout method to compare the predictability of the models using the first 24 observations for training and the remaining 11 observations for validation. Report the estimates of Models 1 and 2 derived from the training set. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.)

predictor variable model 1 model 2
constant
hours
hot
holiday
hot * holiday

a-2. Calculate the RMSE of the two models in the validation set. (Do not round intermediate calculations and round your final answers to 2 decimal places.)

Model 1 model 2
RMSE

a-3. Which model is better for making predictions?

Model .... because its RMSE is .....

Income Hours Hot Holiday
196 5 1 0
282 8 0 0
318 6 1 0
232 5 1 0
276 8 0 0
312 8 0 1
193 5 0 1
110 4 0 0
321 8 1 0
283 8 0 0
325 8 1 0
247 7 0 1
398 8 1 1
448 8 1 1
214 4 0 0
235 8 0 0
238 8 0 0
148 3 1 0
313 8 0 1
449 8 1 1
332 8 1 1
214 8 0 0
363 7 1 0
393 7 1 1
254 8 0 0
228 8 0 0
355 6 1 1
248 7 0 1
291 8 1 0
255 5 1 0
239 6 0 0
214 6 0 0
222 7 0 0
170 5 0 1
374 6 1 1

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