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...


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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 fromResorts & 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 Odyssey94.394.590.897.7
Pattaya Resort92.996.684.196.6
Sojourner's Respite92.899.9100.088.4
Spa Carribe91.288.594.797.0
Penang Resort and Spa90.495.087.891.1
Mokihana Hōkele90.292.482.098.7
Theo's of Cape Town90.195.986.291.9
Cap d'Agde Resort89.892.592.588.8
Spirit of Mykonos89.394.685.890.7
Turismo del Mar89.190.583.290.4
Hotel Iguana89.190.881.988.5
Sidi Abdel Rahman Palace89.093.093.089.6
Sainte-Maxime Quarters88.692.578.291.2
Rotorua Inn87.193.091.673.5
Club Lapu-Lapu87.190.974.989.6
Terracina Retreat86.594.378.091.5
Hacienda Punta Barco86.195.477.390.8
Rendezvous Kolocep86.094.876.491.4
Cabo de Gata Vista86.092.072.289.2
Sanya Deluxe85.193.477.391.8



















































(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.
Letx
1 represent Comfort.
Letx
2 represent Amenities.
Letx
3 represent In-House Dining.
 =  +x
1 +x
2 +x
3

(b)
Use thet 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”.
Thep-value associated with the estimated regression parameterb1
 is  . Because thisp-value is - Select your answer -lessgreaterItem 6 than the level of significance, we - Select your answer -rejectdo not rejectItem 7 the hypothesis thatβ1
 = 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 .
Thep-value associated with the estimated regression parameterb2
 is  . Because thisp-value is - Select your answer -lessgreaterItem 11 than the level of significance, we - Select your answer -rejectdo not rejectItem 12 the hypothesis thatβ2
 = 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 parameterb3
 is  . Because thisp-value is - Select your answer -lessgreaterItem 16 than the level of significance, we - Select your answer -rejectdo not rejectItem 17 the hypothesis thatβ3
 = 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.
 =  +x
1 +x
2 +x
3










(a) Determine the estimated multiple linear regression equation that can be used to predict the overall score given the scores<br>for comfort, amenities, and in-house dining.<br>Let x1 represent Comfort.<br>Let x2 represent Amenities.<br>Let x3 represent In-House Dining.<br>35.697 +<br>0.109 x1 +<br>0.244 x2 +<br>0.247 X3<br>(b) Use the t test to determine the significance of each independent variable. What is the conclusion for each test at the 0.01<br>level of significance? If your answer is zero, enter

Extracted text: (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
Jun 09, 2022
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