### Ice Cream and Soda Sales Correlation StudyBeverly conducted a study this past spring using data collected from a cafeteria. She recorded weekly data on ice cream sales and soda sales. The diagram below includes the line of best fit and the correlation coefficient derived from the study.#### Beverly's Cafeteria Study![Graph showing a correlation between ice cream bars sold and cans of soda sold](image-link)**Graph Explained:**- The horizontal axis represents the number of ice cream bars sold.- The vertical axis represents the number of cans of soda sold.- Each point on the graph represents a data pair of ice cream bars sold and soda cans sold for a particular week.- The line of best fit, shown on the graph, suggests a positive correlation between the two variables.- The correlation coefficient (r) is 0.96, indicating a very strong positive correlation.#### Interpretation of ResultsGiven the information provided, which statements can be correctly concluded?1. I. Eating more ice cream causes a person to become thirsty.2. II. Drinking more soda causes a person to become hungry.3. III. There is a strong correlation between ice cream sales and soda sales.**Answer Choices:**1. I, only2. III, only3. I and III4. II and III**Correct Answer:**- 2. III, only### Understanding the ResultsThe data from the study demonstrate a strong correlation between ice cream sales and soda sales in the cafeteria. However, causation cannot be inferred from correlation. Thus, while statement III is valid, statements I and II are not supported by the study's data.**Note:**Correlation coefficient values range from -1 to 1. Values approaching 1 or -1 suggest a strong relationship, while values near 0 indicate a weak or no relationship. In this study, the correlation coefficient of 0.96 suggests a very strong positive correlation, meaning that as ice cream sales increase, soda sales tend to increase as well.

In the following question, the data collector has the correction coefficient of 0.96 then,

Beverly did a study this past spring using data she collected from a cafeteria. She recorded data weekly for ice cream sales and soda sales. Beverly found the line of best fit and the correlation coefficient, as shown in the diagram below. Beverly's Cafeteria Study r3.96 Ice Cream Bars Sold Given this information, which statement(s) can correctly be concluded? I. Eating more ice cream causes a person to become thirsty. II. Drinking more soda causes a person to become hungry. III. There is a strong correlation between ice cream sales and soda sales. 1. I, only 2. III, only 3. I and II 4. Il and III Cans of Soda Sold

Beverly did a study this past spring using data she collected from a cafeteria. She recorded data weekly for ice cream sales and soda sales. Beverly found the line of best fit and the correlation coefficient, as shown in the diagram below. Beverly's Cafeteria Study r3.96 Ice Cream Bars Sold Given this information, which statement(s) can correctly be concluded? I. Eating more ice cream causes a person to become thirsty. II. Drinking more soda causes a person to become hungry. III. There is a strong correlation between ice cream sales and soda sales. 1. I, only 2. III, only 3. I and II 4. Il and III Cans of Soda Sold

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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