x 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. Click on the datafile logo to reference the data. 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 (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. Let x1 represent Comfort. Let x2 represent Amenities. Let x3 represent In-House Dining. = + x1 + x2 + x3 (b) 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 . Because this p-value is - Select your answer -lessgreaterItem 6 than the level of significance, we - Select your answer -rejectdo not rejectItem 7 the hypothesis that β1 = 0. We conclude that there - Select your answer -isis notItem 8 a relationship between the score on comfort and the overall score at the 0.01 level of significance when controlling for - Select your answer -comfort and amenitiescomfort and in-house diningamenities and in-house diningItem 9 . The p-value associated with the estimated regression parameter b2 is . Because this p-value is - Select your answer -lessgreaterItem 11 than the level of significance, we - Select your answer -rejectdo not rejectItem 12 the hypothesis that β2 = 0. We conclude that there - Select your answer -isis notItem 13 a relationship between the score on amenities and the overall score at the 0.01 level of significance when controlling for - Select your answer -comfort and amenitiescomfort and in-house diningamenities and in-house diningItem 14 . The p-value associated with the estimated regression parameter b3 is . Because this p-value is - Select your answer -lessgreaterItem 16 than the level of significance, we - Select your answer -rejectdo not rejectItem 17 the hypothesis that β3 = 0. We conclude that there - Select your answer -isis notItem 18 a relationship between the score on in-house dining and the overall score at the 0.01 level of significance when controlling for - Select your answer -comfort and amenitiescomfort and in-house diningamenities and in-house diningItem 19 . (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? Enter a coefficient of zero for any independent variable you chose to remove. = + x1 + x2 + x3

x 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. Click on the datafile logo to reference the data. 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 (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. Let x1 represent Comfort. Let x2 represent Amenities. Let x3 represent In-House Dining. = + x1 + x2 + x3 (b) 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 . Because this p-value is - Select your answer -lessgreaterItem 6 than the level of significance, we - Select your answer -rejectdo not rejectItem 7 the hypothesis that β1 = 0. We conclude that there - Select your answer -isis notItem 8 a relationship between the score on comfort and the overall score at the 0.01 level of significance when controlling for - Select your answer -comfort and amenitiescomfort and in-house diningamenities and in-house diningItem 9 . The p-value associated with the estimated regression parameter b2 is . Because this p-value is - Select your answer -lessgreaterItem 11 than the level of significance, we - Select your answer -rejectdo not rejectItem 12 the hypothesis that β2 = 0. We conclude that there - Select your answer -isis notItem 13 a relationship between the score on amenities and the overall score at the 0.01 level of significance when controlling for - Select your answer -comfort and amenitiescomfort and in-house diningamenities and in-house diningItem 14 . The p-value associated with the estimated regression parameter b3 is . Because this p-value is - Select your answer -lessgreaterItem 16 than the level of significance, we - Select your answer -rejectdo not rejectItem 17 the hypothesis that β3 = 0. We conclude that there - Select your answer -isis notItem 18 a relationship between the score on in-house dining and the overall score at the 0.01 level of significance when controlling for - Select your answer -comfort and amenitiescomfort and in-house diningamenities and in-house diningItem 19 . (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? Enter a coefficient of zero for any independent variable you chose to remove. = + x1 + x2 + x3

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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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.

Click on the datafile logo to reference the data.

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

(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.
	Let x₁ represent Comfort.
	Let x₂ represent Amenities.
	Let x₃ represent In-House Dining.
	= + x₁ + x₂ + x₃
(b)	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 . Because this p-value is - Select your answer -lessgreaterItem 6 than the level of significance, we - Select your answer -rejectdo not rejectItem 7 the hypothesis that β₁ = 0. We conclude that there - Select your answer -isis notItem 8 a relationship between the score on comfort and the overall score at the 0.01 level of significance when controlling for - Select your answer -comfort and amenitiescomfort and in-house diningamenities and in-house diningItem 9 .
	The p-value associated with the estimated regression parameter b₂ is . Because this p-value is - Select your answer -lessgreaterItem 11 than the level of significance, we - Select your answer -rejectdo not rejectItem 12 the hypothesis that β₂ = 0. We conclude that there - Select your answer -isis notItem 13 a relationship between the score on amenities and the overall score at the 0.01 level of significance when controlling for - Select your answer -comfort and amenitiescomfort and in-house diningamenities and in-house diningItem 14 .
	The p-value associated with the estimated regression parameter b₃ is . Because this p-value is - Select your answer -lessgreaterItem 16 than the level of significance, we - Select your answer -rejectdo not rejectItem 17 the hypothesis that β₃ = 0. We conclude that there - Select your answer -isis notItem 18 a relationship between the score on in-house dining and the overall score at the 0.01 level of significance when controlling for - Select your answer -comfort and amenitiescomfort and in-house diningamenities and in-house diningItem 19 .
(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? Enter a coefficient of zero for any independent variable you chose to remove.
	= + x₁ + x₂ + x₃

(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.
Let x1 represent Comfort.
Let x2 represent Amenities.
Let x3 represent In-House Dining.
35.697 +
0.109 x1 +
0.244 x2 +
0.247 X3
(b) 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
0.412
Because this p-value is
greater
v than the level of significance, we reject
V the hypothesis that B1 = 0.
We conclude that there is not
a relationship between the score on comfort and the overall score at
the 0.01 level of significance when controlling for amenities and in-house dining V
The p-value associated with the estimated regression parameter b2 is
0.000
. Because this p-value is
v than the level of significance, we do not reject
v the hypothesis that B2 = 0.
Va relationship between the score on amenities and the overall score
less
We conclude that there is
at the 0.01 level of significance when controlling for amenities and in-house dining V
The p-value associated with the estimated regression parameter b3 is
0.001
. Because this p-value is
v than the level of significance, we do not reject
v the hypothesis that B3 = 0.
v a relationship between the score on in-house dining and the overall
less
We conclude that there is
score at the 0.01 level of significance when controlling for amenities and in-house dining V
(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? Enter a coefficient of zero for any independent
variable you chose to remove.
45.146 +
0.000 x1 +
0.253 x2 +
0.248 X3
%3D

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