You may need to use the appropriate technology to answer this question. 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 x] represent Comfort, X2 represent the Amenities, X3 represent Dining, and y represent Overall.) Hotel Overall Comfort Amenities 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 (y) given the scores for comfort (x1) and amenities (x2). (Round your numerical values to four decimal places.) 3'}: (b) Determine the estimated multiple linear regression equation that can be used to predict the overall score (5/) given the scores for comfort (x1), amenities (X2), and dining (x3). (Round your numerical values to four decimal places.) P: (c) At the 0.05 level of significance, test whether the variable dining (x3) added in part (b) contributes signicantly to the estimated regression equation developed in part (a). State the null and alternative hypotheses. (9 H0: :31 = ,62 = 0 Ha: One or more of the parameters is not equal to zero. OHO:,63=U Ha:a0 O H0: :33 0 Ha: ,33 = 0 O Ho: One or more of the parameters is not equal to zero. Ha=1=z=0 Find the value of the test statistic {Round your answer to three decimal places.) :l Find the p-value. (Round your answer to four decimal places.) 15 the addition of the variable dining (x3) significant? 0 Do not reject HO. We conclude that the addition of the variable dining (x3) is not significant. 0 Do not reject H0. We conclude that the addition of the variable dining (x3) is significant. O Reject H0. We conclude that the addition of the variable dining (X3) is significant. (9 Reject H0. We conclude that the addition of the variable dining (X3) is not significant