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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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# Analyzing Data Using Mosaic Plots Use the mosaic plots to answer the following questions: 1. **In the dataset, which region has the most entries?** - **Answer:** Central 2. **In the dataset, which menu item type has the most entries?** - **Answer:** Tea 3. **Among the 4 regions, which has the lowest proportion of Coffee entries?** - **Answer:** East 4. **Among the 3 menu item types, which has the highest proportion of coffee shops selling it in the East region?** - **Answer:** Coffee 5. **Based on these mosaic plots, does there appear to be a relationship between the coffee shop menu item type and region of the country? Select Yes or No and a reason for your choice.** **Answer:** Yes, because: - **Option D:** The proportion of menu items in each category across regions is clearly different. ## Explanation for Graphical Data Mosaic plots are a graphical representation that shows data from a contingency table, allowing you to observe the relationships between categorical data. The size of each rectangle is proportional to the number of cases in each category. - **Regions and Entries:** The mosaic plot shows that the "Central" region has the most entries, indicating more data points or frequency within this region. - **Menu Item Types and Entries:** It is evident that among different menu item types, "Tea" has the highest number of entries, suggesting it is a popular or frequently occurring item. - **Lowest Proportion:** When analyzing the proportion of Coffee entries among different regions, it is clear that the "East" region has the lowest proportion. - **Highest Proportion in East:** Within the East region, Coffee shops selling "Coffee" type items have a higher proportion compared to other regions. - **Relationship Analysis:** The mosaic plots show variations in proportions of menu items across different regions, which indicates a relationship between the menu item type and the region. Use these insights from mosaic plots to better understand the distribution and relationships within your dataset!
Transcribed Image Text:# Analyzing Data Using Mosaic Plots Use the mosaic plots to answer the following questions: 1. **In the dataset, which region has the most entries?** - **Answer:** Central 2. **In the dataset, which menu item type has the most entries?** - **Answer:** Tea 3. **Among the 4 regions, which has the lowest proportion of Coffee entries?** - **Answer:** East 4. **Among the 3 menu item types, which has the highest proportion of coffee shops selling it in the East region?** - **Answer:** Coffee 5. **Based on these mosaic plots, does there appear to be a relationship between the coffee shop menu item type and region of the country? Select Yes or No and a reason for your choice.** **Answer:** Yes, because: - **Option D:** The proportion of menu items in each category across regions is clearly different. ## Explanation for Graphical Data Mosaic plots are a graphical representation that shows data from a contingency table, allowing you to observe the relationships between categorical data. The size of each rectangle is proportional to the number of cases in each category. - **Regions and Entries:** The mosaic plot shows that the "Central" region has the most entries, indicating more data points or frequency within this region. - **Menu Item Types and Entries:** It is evident that among different menu item types, "Tea" has the highest number of entries, suggesting it is a popular or frequently occurring item. - **Lowest Proportion:** When analyzing the proportion of Coffee entries among different regions, it is clear that the "East" region has the lowest proportion. - **Highest Proportion in East:** Within the East region, Coffee shops selling "Coffee" type items have a higher proportion compared to other regions. - **Relationship Analysis:** The mosaic plots show variations in proportions of menu items across different regions, which indicates a relationship between the menu item type and the region. Use these insights from mosaic plots to better understand the distribution and relationships within your dataset!
### Coffee Shop Menu Analysis **Introduction to the Study:** Carole and Julius are preparing to open a new coffee shop and are researching the popularity of different menu items in various regions of the United States. The data collected includes the type of menu item (categorized as Coffee, Tea, and Food) and the region where the coffee shop is located (denoted as Central, East, South, and West). This information is displayed in the form of two mosaic plots. **Mosaic Plots Explanation:** 1. **Region-Based Distribution (Left Plot):** - **X-Axis (Region):** This axis represents the geographical regions of coffee shops - Central, East, South, and West. - **Y-Axis (Menu Item):** This axis shows the type of menu items - Coffee, Tea, and Food. - **Color Coding:** - Coffee: Dark Green - Tea: Light Blue - Food: Beige This plot visually represents how popular each type of menu item is within each region. The size of each colored segment correlates with the proportion of that item sold in that region. For instance, you can observe that Coffee is quite popular in the South region, while Tea has a strong presence in the Central region. 2. **Menu Item-Based Distribution (Right Plot):** - **X-Axis (Menu Item):** This axis denotes the types of menu items - Tea, Coffee, and Food. - **Y-Axis (Region):** This axis shows the regions - Central, East, South, and West. - **Color Coding:** - Central: Blue - East: Dark Green - South: Beige - West: Red This plot provides a perspective on the popularity of regions for each type of menu item. For example, it illustrates that Tea is predominantly favored in the Central and Eastern regions, while Food is more popular in the Western region. **Conclusion:** By examining these mosaic plots, Carole and Julius can determine which types of menu items might perform well in their new coffee shop based on their target region. For optimal business strategy, focusing on regional preferences highlighted in these plots could enhance their menu planning and marketing efforts.
Transcribed Image Text:### Coffee Shop Menu Analysis **Introduction to the Study:** Carole and Julius are preparing to open a new coffee shop and are researching the popularity of different menu items in various regions of the United States. The data collected includes the type of menu item (categorized as Coffee, Tea, and Food) and the region where the coffee shop is located (denoted as Central, East, South, and West). This information is displayed in the form of two mosaic plots. **Mosaic Plots Explanation:** 1. **Region-Based Distribution (Left Plot):** - **X-Axis (Region):** This axis represents the geographical regions of coffee shops - Central, East, South, and West. - **Y-Axis (Menu Item):** This axis shows the type of menu items - Coffee, Tea, and Food. - **Color Coding:** - Coffee: Dark Green - Tea: Light Blue - Food: Beige This plot visually represents how popular each type of menu item is within each region. The size of each colored segment correlates with the proportion of that item sold in that region. For instance, you can observe that Coffee is quite popular in the South region, while Tea has a strong presence in the Central region. 2. **Menu Item-Based Distribution (Right Plot):** - **X-Axis (Menu Item):** This axis denotes the types of menu items - Tea, Coffee, and Food. - **Y-Axis (Region):** This axis shows the regions - Central, East, South, and West. - **Color Coding:** - Central: Blue - East: Dark Green - South: Beige - West: Red This plot provides a perspective on the popularity of regions for each type of menu item. For example, it illustrates that Tea is predominantly favored in the Central and Eastern regions, while Food is more popular in the Western region. **Conclusion:** By examining these mosaic plots, Carole and Julius can determine which types of menu items might perform well in their new coffee shop based on their target region. For optimal business strategy, focusing on regional preferences highlighted in these plots could enhance their menu planning and marketing efforts.
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