In a recent survey, ice cream truck drivers in Cincinnati, Ohio, reported that they make about $280 in income on a typical summer day.

The income was generally higher on days with longer work hours, particularly hot days, and on holidays. Irma follows an ice cream

truck driver for five weeks. She collects the information on the driver's daily income (Income), number of hours on the road (Hours),

whether it was a particularly hot day (Hot =1 if the high temperature was above 85,0 otherwise), and whether it was a Holiday

(Holiday =1,0 otherwise). A portion of the data is shown in the accompanying table.

Click here for the Excel Data File

a-1. Estimate the effect of Hours, Hot, and Holidays on Income. Report the regression coefficients and their significance at the 5% level.

(Negative values should be indicated by a minus sign. Round regression coefficients to 4 decimal places.)

Predictor Variable Coefficient

Constant _________

Hours _________

Hot _________

Holidays _________

a-2. Predict the income of a driver under the following scenarios. (Round coefficient estimates to at least 4 decimal places and final

answers to 2 decimal places.)

Predictor Variable Predictor y

Hours = 6, Hot, Holiday _______

Hours = 6, Hot, Non-Holiday _______

b-1. Extend the above model to include the interaction between Hot and Holiday. Report the regression coefficients and their

significance at the 5% level. (Negative values for regression coefficients should be indicated by a minus sign and round your

answers to 4 decimal places.)

Predictor Variable Coefficient

Constant _________

Hours _________

Hot _________

Holidays _________

Hot x Holidays _________

b-2. Predict the income of a driver under the following scenarios. (Round coefficient estimates to at least 4 decimal places and final

answers to 2 decimal places.)

Predictor Variable Predictor y

Hours = 6, Hot, Holiday _______

Hours = 6, Hot, Non-Holiday _______

Income Hours Hot Holiday

196510

277800

318610

232510

276800

312801

193501

110400

321810

283800

325810

247701

398811

448811

214400

235800

238800

148310

313801

449811

332811

247800

363710

393711

254800

228800

355611

248701

291810

255510

239600

181600

222700

277501

374611