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.  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. Let x1 represent Comfort. Let x2 represent Amenities. Let x3 represent In-House Dining. 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 92.5 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 93.1 Mokihana Hōkele 90.2 92.4 82.0 98.5 Theo’s of Cape Town 90.1 95.9 86.2 91.9 Cap d’Agde Resort 89.8 93.5 92.5 88.8 Spirit of Mykonos 91.3 94.6 85.8 90.7 Turismo del Mar 89.1 90.5 84.2 90.4 Hotel Iguana  89.2 90.8 81.9 88.5 Sidi Abdel Rahman Palace 89.0 93.0 94.0 89.5 Sainte-Maxime Quarters 88.6 92.5 75.2 91.2 Rotorua Inn 87.1 93.0 91.6 75.5 Club Lapu-Lapu 87.1 90.9 76.9 89.6 Terracina Retreat 86.5 94.4 78.0 91.5 Hacienda Punta Barco 84.1 95.4 77.3 91.8 Rendezvous Kolocep 86.0 94.8 76.4 92.4 Cabo de Gata Vista 87.0 92.0 72.2 86.2 Sanya Deluxe 85.1 93.4 77.3 91.8   Group of answer choices y = 35.697 + 0.108*x1 + 0.244*x2 + 0.247*x3 y = 36.295 + 0.112*x1 + 0.249*x2 + 0.186*x3 y = 42.29 + 0.061*x1 + 0.231*x2 + 0.238*x3 y = 43.396 + 0.102*x1 + 0.242*x2 + 0.174*x3 y = 45.125 + 0.082*x1 + 0.339*x2 + 0.167*x3

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.5: Descriptive Modeling And Accuracy
Problem 11PPS
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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. 

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.
Let x1 represent Comfort.
Let x2 represent Amenities.
Let x3 represent In-House Dining.

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 92.5 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 93.1
Mokihana Hōkele 90.2 92.4 82.0 98.5
Theo’s of Cape Town 90.1 95.9 86.2 91.9
Cap d’Agde Resort 89.8 93.5 92.5 88.8
Spirit of Mykonos 91.3 94.6 85.8 90.7
Turismo del Mar 89.1 90.5 84.2 90.4
Hotel Iguana  89.2 90.8 81.9 88.5
Sidi Abdel Rahman Palace 89.0 93.0 94.0 89.5
Sainte-Maxime Quarters 88.6 92.5 75.2 91.2
Rotorua Inn 87.1 93.0 91.6 75.5
Club Lapu-Lapu 87.1 90.9 76.9 89.6
Terracina Retreat 86.5 94.4 78.0 91.5
Hacienda Punta Barco 84.1 95.4 77.3 91.8
Rendezvous Kolocep 86.0 94.8 76.4 92.4
Cabo de Gata Vista 87.0 92.0 72.2 86.2
Sanya Deluxe 85.1 93.4 77.3 91.8

 

Group of answer choices
y = 35.697 + 0.108*x1 + 0.244*x2 + 0.247*x3
y = 36.295 + 0.112*x1 + 0.249*x2 + 0.186*x3
y = 42.29 + 0.061*x1 + 0.231*x2 + 0.238*x3
y = 43.396 + 0.102*x1 + 0.242*x2 + 0.174*x3
y = 45.125 + 0.082*x1 + 0.339*x2 + 0.167*x3
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