Hotel Overall Comfort Amenities In-House Dining 94.3 97.7 Muri Beach Odyssey Pattaya Resort Sojourner's Respite Spa Carribe Penang Resort and Spa 94.5 90.8 92.9 96.6 84.1 96.6 92.8 99.9 100.0 88.4 91.2 88.5 94.7 97.0 90.4 95.0 87.8 91.1 Mokihana Hökele 90.2 92.4 82.0 98.7 Theo's of Cape Town Cap d'Agde Resort Spirit of Mykonos Turismo del Mar 90.1 95.9 86.2 91.9 89.8 89.3 92.5 92.5 88.8 94.6 85.8 90.7 89.1 90.5 83.2 90.4 (сontinued) Hotel Overall Comfort Amenities In-House Dining 88.5 89.6 Hotel Iguana Sidi Abdel Rahman Palace Sainte-Maxime Quarters Rotorua Inn 89.1 90.8 81.9 89.0 93.0 93.0 91.2 73.5 88.6 92.5 78.2 87.1 93.0 91.6 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

Question

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

a. Determine the estimated multiple linear regression equation that can be used to predict
the overall score given the scores for comfort, amenities, and in-house dining.
b. Use the F test to determine the overall significance of the regression relationship. What
is the conclusion at the 0.01 level of significance?
c. 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?
d. 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?

Hotel
Overall
Comfort
Amenities
In-House Dining
94.3
97.7
Muri Beach Odyssey
Pattaya Resort
Sojourner's Respite
Spa Carribe
Penang Resort and Spa
94.5
90.8
92.9
96.6
84.1
96.6
92.8
99.9
100.0
88.4
91.2
88.5
94.7
97.0
90.4
95.0
87.8
91.1
Mokihana Hökele
90.2
92.4
82.0
98.7
Theo's of Cape Town
Cap d'Agde Resort
Spirit of Mykonos
Turismo del Mar
90.1
95.9
86.2
91.9
89.8
89.3
92.5
92.5
88.8
94.6
85.8
90.7
89.1
90.5
83.2
90.4
(сontinued)
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Hotel
Overall
Comfort
Amenities
In-House Dining
88.5
89.6
Hotel Iguana
Sidi Abdel Rahman Palace
Sainte-Maxime Quarters
Rotorua Inn
89.1
90.8
81.9
89.0
93.0
93.0
91.2
73.5
88.6
92.5
78.2
87.1
93.0
91.6
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
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Transcribed Image Text

Hotel Overall Comfort Amenities In-House Dining 94.3 97.7 Muri Beach Odyssey Pattaya Resort Sojourner's Respite Spa Carribe Penang Resort and Spa 94.5 90.8 92.9 96.6 84.1 96.6 92.8 99.9 100.0 88.4 91.2 88.5 94.7 97.0 90.4 95.0 87.8 91.1 Mokihana Hökele 90.2 92.4 82.0 98.7 Theo's of Cape Town Cap d'Agde Resort Spirit of Mykonos Turismo del Mar 90.1 95.9 86.2 91.9 89.8 89.3 92.5 92.5 88.8 94.6 85.8 90.7 89.1 90.5 83.2 90.4 (сontinued)

Hotel Overall Comfort Amenities In-House Dining 88.5 89.6 Hotel Iguana Sidi Abdel Rahman Palace Sainte-Maxime Quarters Rotorua Inn 89.1 90.8 81.9 89.0 93.0 93.0 91.2 73.5 88.6 92.5 78.2 87.1 93.0 91.6 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