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. (Let x1 represent Comfort, x2 represent the Amenities, x3 represent In-House Dining, and y represent Overall.) 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 Ho-kele 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 (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. (Round your numerical values to four decimal places.) ŷ = (b) Use the t-test to determine the significance of each independent variable. Test whether the regression parameter ?1 is equal to zero. Find the p-value. (Round your answer to four decimal places.) p-value = Test whether the regression parameter ?2 is equal to zero. Find the p-value. (Round your answer to four decimal places.) p-value = Test whether the regression parameter ?3 is equal to zero. Find the p-value. (Round your answer to four decimal places.) p-value = (c) 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? (Round your numerical values to four decimal places.) ŷ = (d) Suppose Resorts & Spas has decided to recommend each of the independent beachfront boutiques in its data that achieves an estimated overall score over 90. Use the regression equation developed in part (c) to determine which of the independent beachfront boutiques will receive a recommendation from Resorts & Spas. (Select all that apply.) Muri Beach Odyssey Pattaya Resort Sojourner's Respite Spa Carribe Penang Resort and Spa Mokihana Ho‐kele Theo's of Cape Town Cap d'Agde Resort Spirit of Mykonos Turismo del Mar Hotel Iguana Sidi Abdel Rahman Palace Sainte‐Maxime Quarters Rotorua Inn Club Lapu‐Lapu Terracina Retreat Hacienda Punta Barco Rendezvous Kolocep Cabo de Gata Vista Sanya Deluxe

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. (Let x1 represent Comfort, x2 represent the Amenities, x3 represent In-House Dining, and y represent Overall.) 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 Ho-kele 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 (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. (Round your numerical values to four decimal places.) ŷ = (b) Use the t-test to determine the significance of each independent variable. Test whether the regression parameter ?1 is equal to zero. Find the p-value. (Round your answer to four decimal places.) p-value = Test whether the regression parameter ?2 is equal to zero. Find the p-value. (Round your answer to four decimal places.) p-value = Test whether the regression parameter ?3 is equal to zero. Find the p-value. (Round your answer to four decimal places.) p-value = (c) 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? (Round your numerical values to four decimal places.) ŷ = (d) Suppose Resorts & Spas has decided to recommend each of the independent beachfront boutiques in its data that achieves an estimated overall score over 90. Use the regression equation developed in part (c) to determine which of the independent beachfront boutiques will receive a recommendation from Resorts & Spas. (Select all that apply.) Muri Beach Odyssey Pattaya Resort Sojourner's Respite Spa Carribe Penang Resort and Spa Mokihana Ho‐kele Theo's of Cape Town Cap d'Agde Resort Spirit of Mykonos Turismo del Mar Hotel Iguana Sidi Abdel Rahman Palace Sainte‐Maxime Quarters Rotorua Inn Club Lapu‐Lapu Terracina Retreat Hacienda Punta Barco Rendezvous Kolocep Cabo de Gata Vista Sanya Deluxe

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 Ho-kele	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

(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. (Round your numerical values to four decimal places.)

ŷ =

(b) Use the t-test to determine the significance of each independent variable.

Test whether the regression parameter ?₁ is equal to zero.

Find the p-value. (Round your answer to four decimal places.)

p-value =

Test whether the regression parameter ?₂ is equal to zero.

Find the p-value. (Round your answer to four decimal places.)

p-value =

Test whether the regression parameter ?₃ is equal to zero.

Find the p-value. (Round your answer to four decimal places.)

p-value =

(c)

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? (Round your numerical values to four decimal places.)

ŷ =

(d)

Suppose Resorts & Spas has decided to recommend each of the independent beachfront boutiques in its data that achieves an estimated overall score over 90. Use the regression equation developed in part (c) to determine which of the independent beachfront boutiques will receive a recommendation from Resorts & Spas. (Select all that apply.)

Muri Beach Odyssey
Pattaya Resort
Sojourner's Respite
Spa Carribe
Penang Resort and Spa
Mokihana Ho‐kele
Theo's of Cape Town

Cap d'Agde Resort
Spirit of Mykonos
Turismo del Mar
Hotel Iguana
Sidi Abdel Rahman Palace
Sainte‐Maxime Quarters
Rotorua Inn

Club Lapu‐Lapu
Terracina Retreat
Hacienda Punta Barco
Rendezvous Kolocep
Cabo de Gata Vista
Sanya Deluxe

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