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The Condé Nast Traveler Gold List provides ratings for the top 20 small cruise ships. The data shown below are the scores each ship received based upon the results from Condé Nast Traveler's Annual Readers' Choice Survey. Each score represents the percentage of respondents who rated a ship as excellent or very good on several criteria, including Shore Excursions and Food/Dining An overall score was also reported and used to rank the ships. The highest ranked ship, the Seabourn Odyssey, has an overall score of 94.4, the highest component of which is 97.8 for Food/Dining. Ship Seabourn Odyssey Seabourn Pride National Geographic Endeavor Seabourn Sojourn Paul Gauguin Seabourn Legend Seabourn Spirit Silver Explorer Silver Spirit Seven Seas Navigator Silver Whisperer National Geographic Explorer Silver Cloud Celebrity Xpedition Overall 94.4 93.0 92.9 91.3 90.5 90.3 90.2 89.9 89.4 89.2 89.2 89.1 88.7 87.2 Shore Excursions 90.9 84.2 100.0 94.8 87.9 82.1 86.3 92.6 85.9 83.3 82.0 93.1 78.3 91.7 Food/Dining 97.8 96.7 88.5 97.1 91.2 98.8 92.0 88.9 90.8 90.5 88.6 89.7 91.3 73.6

The Condé Nast Traveler Gold List provides ratings for the top 20 small cruise ships. The data shown below are the scores each ship received based upon the results from Condé Nast Traveler's Annual Readers' Choice Survey. Each score represents the percentage of respondents who rated a ship as excellent or very good on several criteria, including Shore Excursions and Food/Dining An overall score was also reported and used to rank the ships. The highest ranked ship, the Seabourn Odyssey, has an overall score of 94.4, the highest component of which is 97.8 for Food/Dining. Ship Seabourn Odyssey Seabourn Pride National Geographic Endeavor Seabourn Sojourn Paul Gauguin Seabourn Legend Seabourn Spirit Silver Explorer Silver Spirit Seven Seas Navigator Silver Whisperer National Geographic Explorer Silver Cloud Celebrity Xpedition Overall 94.4 93.0 92.9 91.3 90.5 90.3 90.2 89.9 89.4 89.2 89.2 89.1 88.7 87.2 Shore Excursions 90.9 84.2 100.0 94.8 87.9 82.1 86.3 92.6 85.9 83.3 82.0 93.1 78.3 91.7 Food/Dining 97.8 96.7 88.5 97.1 91.2 98.8 92.0 88.9 90.8 90.5 88.6 89.7 91.3 73.6

MATLAB: An Introduction with Applications
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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The image contains a table and a set of questions related to regression analysis based on cruise ship ratings. Below is a detailed transcription suitable for an educational website: ### Table of Cruise Ship Ratings | Cruise Ship | Shore Excursions | Food/Dining | Overall Score | |-------------------|------------------|-------------|---------------| | Celebrity Xpedition | 87.2 | 91.7 | 73.6 | | Silver Shadow | 87.2 | 75.0 | 89.7 | | Silver Wind | 86.6 | 78.1 | 91.6 | | SeaDream II | 86.2 | 77.4 | 90.9 | | Wind Star | 86.1 | 76.5 | 91.5 | | Wind Surf | 86.1 | 72.3 | 89.3 | | Wind Spirit | 85.2 | 77.4 | 91.9 | ### Questions #### (a) **Determine an estimated regression equation** that can be used to predict the overall score given the score for Shore Excursions. (Round your numerical values to two decimal places. Let \( x_1 \) represent the Shore Excursions score and \( y \) represent the overall score.) \[ \hat{y} = \_\_\_\_ \] #### (b) **Consider the addition of the independent variable Food/Dining.** Develop the estimated regression equation that can be used to predict the overall score given the scores for Shore Excursions and Food/Dining. (Round your numerical values to two decimal places. Let \( x_1 \) represent the Shore Excursions score, \( x_2 \) represent the Food/Dining score, and \( y \) represent the overall score.) \[ \hat{y} = \_\_\_\_ \] #### (c) **Predict the overall score for a cruise ship with a Shore Excursions score of 81 and a Food/Dining Score of 93.** (Round your answer to one decimal place.) \[ \hat{y} = \_\_\_\_ \]
Transcribed Image Text:The image contains a table and a set of questions related to regression analysis based on cruise ship ratings. Below is a detailed transcription suitable for an educational website: ### Table of Cruise Ship Ratings | Cruise Ship | Shore Excursions | Food/Dining | Overall Score | |-------------------|------------------|-------------|---------------| | Celebrity Xpedition | 87.2 | 91.7 | 73.6 | | Silver Shadow | 87.2 | 75.0 | 89.7 | | Silver Wind | 86.6 | 78.1 | 91.6 | | SeaDream II | 86.2 | 77.4 | 90.9 | | Wind Star | 86.1 | 76.5 | 91.5 | | Wind Surf | 86.1 | 72.3 | 89.3 | | Wind Spirit | 85.2 | 77.4 | 91.9 | ### Questions #### (a) **Determine an estimated regression equation** that can be used to predict the overall score given the score for Shore Excursions. (Round your numerical values to two decimal places. Let \( x_1 \) represent the Shore Excursions score and \( y \) represent the overall score.) \[ \hat{y} = \_\_\_\_ \] #### (b) **Consider the addition of the independent variable Food/Dining.** Develop the estimated regression equation that can be used to predict the overall score given the scores for Shore Excursions and Food/Dining. (Round your numerical values to two decimal places. Let \( x_1 \) represent the Shore Excursions score, \( x_2 \) represent the Food/Dining score, and \( y \) represent the overall score.) \[ \hat{y} = \_\_\_\_ \] #### (c) **Predict the overall score for a cruise ship with a Shore Excursions score of 81 and a Food/Dining Score of 93.** (Round your answer to one decimal place.) \[ \hat{y} = \_\_\_\_ \]
The **Condé Nast Traveler** Gold List provides ratings for the top 20 small cruise ships. The data shown below are the scores each ship received based upon the results from **Condé Nast Traveler's** Annual Readers' Choice Survey. Each score represents the percentage of respondents who rated a ship as excellent or very good on several criteria, including Shore Excursions and Food/Dining. An overall score was also reported and used to rank the ships. The highest ranked ship, the Seabourn Odyssey, has an overall score of 94.4, the highest component of which is 97.8 for Food/Dining. | Ship | Overall | Shore Excursions | Food/Dining | |---------------------------------|---------|------------------|-------------| | Seabourn Odyssey | 94.4 | 90.9 | 97.8 | | Seabourn Pride | 93.0 | 84.2 | 96.7 | | National Geographic Endeavor | 92.9 | 100.0 | 88.5 | | Seabourn Sojourn | 91.3 | 94.8 | 97.1 | | Paul Gauguin | 90.5 | 87.9 | 91.2 | | Seabourn Legend | 90.3 | 82.1 | 98.8 | | Seabourn Spirit | 90.2 | 86.3 | 92.0 | | Silver Explorer | 89.9 | 92.6 | 88.9 | | Silver Spirit | 89.4 | 85.9 | 90.8 | | Seven Seas Navigator | 89.2 | 83.3 | 90.5 | | Silver Whisperer | 89.2 | 82.0 | 88.6 | | National Geographic Explorer | 89.1 | 93.1 | 89.7 | | Silver Cloud | 88.7 | 78.3 | 91.3 | | Celebrity Xpedition | 87.2 | 91.7 | 73.6 | | Silver Shadow |
Transcribed Image Text:The **Condé Nast Traveler** Gold List provides ratings for the top 20 small cruise ships. The data shown below are the scores each ship received based upon the results from **Condé Nast Traveler's** Annual Readers' Choice Survey. Each score represents the percentage of respondents who rated a ship as excellent or very good on several criteria, including Shore Excursions and Food/Dining. An overall score was also reported and used to rank the ships. The highest ranked ship, the Seabourn Odyssey, has an overall score of 94.4, the highest component of which is 97.8 for Food/Dining. | Ship | Overall | Shore Excursions | Food/Dining | |---------------------------------|---------|------------------|-------------| | Seabourn Odyssey | 94.4 | 90.9 | 97.8 | | Seabourn Pride | 93.0 | 84.2 | 96.7 | | National Geographic Endeavor | 92.9 | 100.0 | 88.5 | | Seabourn Sojourn | 91.3 | 94.8 | 97.1 | | Paul Gauguin | 90.5 | 87.9 | 91.2 | | Seabourn Legend | 90.3 | 82.1 | 98.8 | | Seabourn Spirit | 90.2 | 86.3 | 92.0 | | Silver Explorer | 89.9 | 92.6 | 88.9 | | Silver Spirit | 89.4 | 85.9 | 90.8 | | Seven Seas Navigator | 89.2 | 83.3 | 90.5 | | Silver Whisperer | 89.2 | 82.0 | 88.6 | | National Geographic Explorer | 89.1 | 93.1 | 89.7 | | Silver Cloud | 88.7 | 78.3 | 91.3 | | Celebrity Xpedition | 87.2 | 91.7 | 73.6 | | Silver Shadow |
Expert Solution
Step 1

Part a) 

We need to determine an estimated regression equation that can be used to predict the overall score for Shore Excursions.

Excel Procedure for Regression:

  • Enter the data for overall score and Shore Excursions in Excel sheet.
  • Go to Data
  • Click on Data Analysis.
  • Select ‘Regression’ and click on ‘OK’
  • Select the column of overall score under ‘Input Y Range’.
  • Select the column of Shore Excursions under ‘Input X Range’.
  • Click on ‘OK’.

Excel Output:

Statistics homework question answer, step 1, image 1

The Regression Equation we obtained is as follows,

y=69.30+0.23x1

Where y - Overall scorex1 - Shore Excursions.

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