Frozen pizzas account for over 3 billionyear in sales and ar

Frozen pizzas account for over $3 billion/year in sales and are a major sector of the frozen food market; see Companies and Markets. Consumer\'s Union recently rated 27 brands of frozen pizza and assigned a score to each brand based on flavor and quality. The data are in this Excel file: Pizza Ratings. A multiple regression with Score as the response variable and Fat, Calories, and Type (cheese = 1, pepperoni = 0) resulted in the following plot of the residuals against the predicted values; the plot has been color-coded by Type of pizza: pizza ratings resid vs pred The plot indicates that there are different slopes for the 2 types of pizza. To adjust the slopes an interaction term should be included in the model. Perform a multiple regression with Score as the response variable and Calories, Fat, Type (cheese = 1, pepperoni = 0) and the interaction term Type*Calories as the explanatory variables.

QUESTION: What is the residual for a DiGiorno pepperoni pizza?

Brand

Score

Cost

Calories

Fat

Type

Type*Calories

Freshetta 4 Cheese

89

0.98

364

15

1

364

Freschetta stuffed crust

86

1.23

334

11

1

334

DiGiorno

85

0.94

332

12

1

332

Amy\'s organic

81

1.92

341

14

1

341

Safeway

80

0.84

307

9

1

307

Tony\'s

79

0.96

335

12

1

335

Kroger

75

0.8

292

9

1

292

Tombstone stuffed crust

75

0.96

364

18

1

364

Red Baron

73

0.91

384

20

1

384

Bobli

67

0.89

333

12

1

333

Tombstone extra cheese

60

0.94

328

14

1

328

Jack\'s

51

0.92

325

13

1

325

Celeste

50

1.17

346

17

1

346

McCain Ellio\'s

46

0.54

299

9

1

299

Totino\'s

25

0.67

322

14

1

322

Freschetta pepperoni

89

0.96

385

18

0

0

DiGiorno pepperoni

85

0.88

369

16

0

0

Tombstone stuffed crust pepperoni

80

0.9

400

22

0

0

Tombstone pepperoni

73

0.88

378

20

0

0

Red Baron pepperoni

64

0.89

400

23

0

0

Tony\'s pepperoni

60

0.87

410

26

0

0

Red Baron deep dish pepperoni

55

1.28

412

25

0

0

Stouffer\'s pepperoni

54

1.26

343

14

0

0

Weight Watchers pepperoni

33

1.51

283

6

0

0

Jeno\'s pepperoni

22

0.74

372

20

0

0

Totino\'s pepperoni

20

0.64

367

20

0

0

Healthy Choice pepperoni

15

1.62

280

4

0

0

Brand	Score	Cost	Calories	Fat	Type	Type*Calories
Freshetta 4 Cheese	89	0.98	364	15	1	364
Freschetta stuffed crust	86	1.23	334	11	1	334
DiGiorno	85	0.94	332	12	1	332
Amy\'s organic	81	1.92	341	14	1	341
Safeway	80	0.84	307	9	1	307
Tony\'s	79	0.96	335	12	1	335
Kroger	75	0.8	292	9	1	292
Tombstone stuffed crust	75	0.96	364	18	1	364
Red Baron	73	0.91	384	20	1	384
Bobli	67	0.89	333	12	1	333
Tombstone extra cheese	60	0.94	328	14	1	328
Jack\'s	51	0.92	325	13	1	325
Celeste	50	1.17	346	17	1	346
McCain Ellio\'s	46	0.54	299	9	1	299
Totino\'s	25	0.67	322	14	1	322
Freschetta pepperoni	89	0.96	385	18	0	0
DiGiorno pepperoni	85	0.88	369	16	0	0
Tombstone stuffed crust pepperoni	80	0.9	400	22	0	0
Tombstone pepperoni	73	0.88	378	20	0	0
Red Baron pepperoni	64	0.89	400	23	0	0
Tony\'s pepperoni	60	0.87	410	26	0	0
Red Baron deep dish pepperoni	55	1.28	412	25	0	0
Stouffer\'s pepperoni	54	1.26	343	14	0	0
Weight Watchers pepperoni	33	1.51	283	6	0	0
Jeno\'s pepperoni	22	0.74	372	20	0	0
Totino\'s pepperoni	20	0.64	367	20	0	0
Healthy Choice pepperoni	15	1.62	280	4	0	0

Solution

Here we obtain the multiple linear regresion of Score as the response variable and Calories, Fat, Type (cheese = 1, pepperoni = 0) and the interaction term Type*Calories as the explanatory variables as-

Score = - 464 + 1.92 Calories - 10.4 Fat + 184 Type - 0.461 Type*Calories

Thus the residual for a DiGiorno pepperoni pizza=6.24092