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 Hkele	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 1 = 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 2 = 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 3 = 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