In: Statistics and Probability
Resorts & Spas, a magazine devoted to upscale vacations and accommodations, published its Reader's Choice List of the top 20 independent beachfront boutique hotels in the world. The data shown are the scores received by these hotels based on the results from Resorts & Spas' annual Readers' Choice Survey. Each score represents the percentage of respondents who rated a hotel as excellent or very good on one of three criteria (comfort, amenities, and in-house dining). An overall score was also reported and used to rank the hotels. The highest ranked hotel, the Muri Beach Odyssey, has an overall score of 94.3, the highest component of which is 97.7 for in-house dining. If required, round your answer to three decimal places.
Hotel | Overall | Comfort | Amenities | In-House Dining | |||
Muri Beach Odyssey | 94.3 | 94.5 | 90.8 | 97.7 | |||
Pattaya Resort | 92.9 | 96.6 | 84.1 | 96.6 | |||
Sojourner's Respite | 92.8 | 99.9 | 100.0 | 88.4 | |||
Spa Carribe | 91.2 | 88.5 | 94.7 | 97.0 | |||
Penang Resort and Spa | 90.4 | 95.0 | 87.8 | 91.1 | |||
Mokihana Hōkele | 90.2 | 92.4 | 82.0 | 98.7 | |||
Theo's of Cape Town | 90.1 | 95.9 | 86.2 | 91.9 | |||
Cap d'Agde Resort | 89.8 | 92.5 | 92.5 | 88.8 | |||
Spirit of Mykonos | 89.3 | 94.6 | 85.8 | 90.7 | |||
Turismo del Mar | 89.1 | 90.5 | 83.2 | 90.4 | |||
Hotel Iguana | 89.1 | 90.8 | 81.9 | 88.5 | |||
Sidi Abdel Rahman Palace | 89.0 | 93.0 | 93.0 | 89.6 | |||
Sainte-Maxime Quarters | 88.6 | 92.5 | 78.2 | 91.2 | |||
Rotorua Inn | 87.1 | 93.0 | 91.6 | 73.5 | |||
Club Lapu-Lapu | 87.1 | 90.9 | 74.9 | 89.6 | |||
Terracina Retreat | 86.5 | 94.3 | 78.0 | 91.5 | |||
Hacienda Punta Barco | 86.1 | 95.4 | 77.3 | 90.8 | |||
Rendezvous Kolocep | 86.0 | 94.8 | 76.4 | 91.4 | |||
Cabo de Gata Vista | 86.0 | 92.0 | 72.2 | 89.2 | |||
Sanya Deluxe | 85.1 | 93.4 | 77.3 | 91.8 |
1.Use the t test to determine the significance of each independent variable. What is the conclusion for each test at the 0.01 level of significance? If your answer is zero, enter “0”.
The p-value associated with the estimated regression parameter b1 is ___ (not 0)
2. Remove all independent variables that are not significant at the 0.01 level of significance from the estimated regression equation. What is your recommended estimated regression equation? Enter a coefficient of zero for any independent variable you chose to remove.
y hat = 45.1461 +() x1 +() x2 + ()x3