The following data shown are the score each ship received based upon results from Travelling Magazine. Ship Overall Itineraries Shore Food/Dining Seabourn Odyssey 94.4 94.6 90.9 97.8 Seabourn Pride 93 96.7 84.2 96.7 National Geographic Endeavor 92.9 100 100 88.5 Seabourn Sojourn 91.3 88.6 94.8 97.1 Paul Gaugian 90.5 95.1 87.9 91.2 Seabourn Legend 90.3 92.5 82.1 98.8 Seabourn Spirit 90.2 96 86.3 92 Silver explorer 89.9 92.6 92.6 88.9 Silver Spirit 89.4 94.7 85.9 90.8 Seven Seas Navigator 89.2 90.6 83.3 90.5 Silver Whisperer 89.2 90.9 82 88.6 National Geographic Explorer 89.1 93.1 93.1 89.7 Silver Cloud 88.7 92.6 78.3 91.3 Celebritiy Xpedition 87.2 93.1 91.7 73.6 Silver Shadow 87.2 91 75 89.7 SeaDream II 86.6 94.4 78.1 91.6 Wind Star 86.2 95.5 77.4 90 Wind Surf 86.1 94.9 76.5 91.5 Wind Spirit 86.1 92.1 72.3 89.3 Seabourn Star 85.2 93.5 77.4 91.9 a) determine the estimate regression equation that can be used to predict the overall score given the score for Itineraraies, Shore, Food/dining. b) Use F-test to determine the overall significance of the relationship. What is your conclusion at the 5% level of significance?
The following data shown are the score each ship received based upon results from Travelling Magazine. Ship Overall Itineraries Shore Food/Dining Seabourn Odyssey 94.4 94.6 90.9 97.8 Seabourn Pride 93 96.7 84.2 96.7 National Geographic Endeavor 92.9 100 100 88.5 Seabourn Sojourn 91.3 88.6 94.8 97.1 Paul Gaugian 90.5 95.1 87.9 91.2 Seabourn Legend 90.3 92.5 82.1 98.8 Seabourn Spirit 90.2 96 86.3 92 Silver explorer 89.9 92.6 92.6 88.9 Silver Spirit 89.4 94.7 85.9 90.8 Seven Seas Navigator 89.2 90.6 83.3 90.5 Silver Whisperer 89.2 90.9 82 88.6 National Geographic Explorer 89.1 93.1 93.1 89.7 Silver Cloud 88.7 92.6 78.3 91.3 Celebritiy Xpedition 87.2 93.1 91.7 73.6 Silver Shadow 87.2 91 75 89.7 SeaDream II 86.6 94.4 78.1 91.6 Wind Star 86.2 95.5 77.4 90 Wind Surf 86.1 94.9 76.5 91.5 Wind Spirit 86.1 92.1 72.3 89.3 Seabourn Star 85.2 93.5 77.4 91.9 a) determine the estimate regression equation that can be used to predict the overall score given the score for Itineraraies, Shore, Food/dining. b) Use F-test to determine the overall significance of the relationship. What is your conclusion at the 5% level of significance?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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| The following data shown are the score each ship received based upon results from Travelling Magazine. | ||||
| Ship | Overall | Itineraries | Shore | Food/Dining |
| Seabourn Odyssey | 94.4 | 94.6 | 90.9 | 97.8 |
| Seabourn Pride | 93 | 96.7 | 84.2 | 96.7 |
| National Geographic Endeavor | 92.9 | 100 | 100 | 88.5 |
| Seabourn Sojourn | 91.3 | 88.6 | 94.8 | 97.1 |
| Paul Gaugian | 90.5 | 95.1 | 87.9 | 91.2 |
| Seabourn Legend | 90.3 | 92.5 | 82.1 | 98.8 |
| Seabourn Spirit | 90.2 | 96 | 86.3 | 92 |
| Silver explorer | 89.9 | 92.6 | 92.6 | 88.9 |
| Silver Spirit | 89.4 | 94.7 | 85.9 | 90.8 |
| Seven Seas Navigator | 89.2 | 90.6 | 83.3 | 90.5 |
| Silver Whisperer | 89.2 | 90.9 | 82 | 88.6 |
| National Geographic Explorer | 89.1 | 93.1 | 93.1 | 89.7 |
| Silver Cloud | 88.7 | 92.6 | 78.3 | 91.3 |
| Celebritiy Xpedition | 87.2 | 93.1 | 91.7 | 73.6 |
| Silver Shadow | 87.2 | 91 | 75 | 89.7 |
| SeaDream II | 86.6 | 94.4 | 78.1 | 91.6 |
| Wind Star | 86.2 | 95.5 | 77.4 | 90 |
| Wind Surf | 86.1 | 94.9 | 76.5 | 91.5 |
| Wind Spirit | 86.1 | 92.1 | 72.3 | 89.3 |
| Seabourn Star | 85.2 | 93.5 | 77.4 | 91.9 |
| a) determine the estimate regression equation that can be used to predict the overall score given the score for Itineraraies, Shore, Food/dining. | ||||
| b) Use F-test to determine the overall significance of the relationship. What is your conclusion at the 5% level of significance? | ||||
| C) Use t-test to determine the significance of each independent variable. What is your conclusion at the 5% level of significance? | ||||
| d) Remove any independent variable that is not significant from the estimated regression equation. What is your recommended estimated regression equation? |
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