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Bars of soap are scored for their appearance in a manufacturing operation. Thwe scores are on a 1 1|] scale, and the higher the score the better. The difference between operator performance and the speed of the manufacturing line are believed to measurath affect the quality of the appearance. The following data were collected on this problem. Appearance Operator Line Speed {sums for 33 bars} 1 151] 253 1 175 245 1 am 249 2 150 233 2 175 223 2 am 231 3 151] 265 3 175 247 3 am 253 1. Using dummy variables, t a multiple regression model to these data. 2. Using o: = [1.05, determine whether operator di'erences are important in bar appearance. Us- ing the regression model, demonstrate that the average appearance score for operator number 1 is 253, for operator number 23 is 233, and for operator umber 3 is 253. 3. Does line speed affect appearance? (Use at = 3.3115.) 4. What model would you use to predict appearance