In: Statistics and Probability
Consider the following data sample from the Consumer Reports Restaurant Satisfaction Survey where variable Type indicates whether the restaurant is Italian or a Seafood/steakhouse restaurant. Price indicates average amount paid per person for dinner and drinks. Score reflects diner’s overall satisfaction, with higher values indicating greater satisfaction (100 is completely satisfied). A regression analysis is conducted using several steps to gauge the impact of the explanatory variables on Score (diner’ satisfaction).
| 
 Restaurant  | 
 Price ($)  | 
 Score  | 
 Type  | 
| 
 Bertucci's  | 
 16  | 
 77  | 
 Italian  | 
| 
 Black Angus  | 
 24  | 
 79  | 
 Seafood/Steak  | 
| 
 Bonefish Grill  | 
 26  | 
 85  | 
 Seafood/Steak  | 
| 
 Bravo!cuccina italiana  | 
 18  | 
 84  | 
 Italian  | 
| 
 Buca di Beppo  | 
 17  | 
 81  | 
 Italian  | 
| 
 Bugaboo Steak House  | 
 18  | 
 77  | 
 Seafood/Steak  | 
| 
 Carrabba's Italian grill  | 
 23  | 
 86  | 
 Italian  | 
| 
 Brown's Steakhouse  | 
 17  | 
 75  | 
 Seafood/Steak  | 
| 
 Il Fornaio  | 
 28  | 
 83  | 
 Italian  | 
| 
 Joe's crab Shack  | 
 15  | 
 71  | 
 Seafood/Steak  | 
| 
 Johnny Carino's Italian  | 
 17  | 
 81  | 
 Italian  | 
| 
 Lone Star SteakHouse  | 
 17  | 
 76  | 
 Seafood/Steak  | 
| 
 Longhorn steakhouse  | 
 19  | 
 81  | 
 Seafood/Steak  | 
| 
 Maggio's little Italy  | 
 22  | 
 83  | 
 Italian  | 
| 
 McGrath's Fish House  | 
 16  | 
 81  | 
 Seafood/Steak  | 
| 
 Oliven Graden  | 
 19  | 
 79  | 
 Italian  | 
| 
 Outback Steakhouse  | 
 20  | 
 82  | 
 Italian  | 
| 
 Red Lobster  | 
 18  | 
 81  | 
 Seafood/Steak  | 
| 
 Romano's macorroni grill  | 
 18  | 
 82  | 
 Italian  | 
| 
 The old spaguetti factory  | 
 12  | 
 79  | 
 Italian  | 
| 
 Uno Chicago Grill  | 
 16  | 
 80  | 
 Italian  | 
Fully explain here:
Fully explain here:
MODEL 1- includes only the Price to explain Score
Fully explain here:
Fully explain here: