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Which of the scatterplots to the right show a) little or no association? b) a negative association? c) a linear association? d) a weak or moderately strong association? e) a very strong association? (1) (3) (4) .....

Which of the scatterplots to the right show a) little or no association? b) a negative association? c) a linear association? d) a weak or moderately strong association? e) a very strong association? (1) (3) (4) .....

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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**Understanding Scatterplots and Their Associations** Scatterplots are fundamental tools used in statistics to observe relationships between two variables. When analyzing scatterplots, it is essential to determine the type of association that exists between the data points. Associations can range from little to no association, negative or positive association, linear, or non-linear. Here we analyze four scatterplots to identify the type of association they represent. **Question:** Which of the scatterplots to the right show: a) Little or no association? b) A negative association? c) A linear association? d) A weak or moderately strong association? e) A very strong association? **Answer Choices:** a) Which scatterplot(s) show(s) little or no association? - O A. All of these scatterplots - O B. 2 - O C. 3 - O D. 4 - O E. 1 - O F. None of these scatterplots **Scatterplots Description:** 1. **Scatterplot (1):** This plot shows data points that are widely dispersed with no visible pattern, indicating little to no association. 2. **Scatterplot (2):** This plot shows data points that trend downwards, indicating a negative association. 3. **Scatterplot (3):** This plot shows data points that are tightly clustered around an upward sloping line, indicating a very strong positive linear association. 4. **Scatterplot (4):** This plot shows data points that roughly follow an upward trend but are more spread out compared to Scatterplot (3), indicating a weak to moderately strong positive association. **Explanation of the Answer Choices:** - O A. All of these scatterplots: This is incorrect because not all the scatterplots show little or no association. - O B. 2: Incorrect. Scatterplot 2 shows a negative association, not little or no association. - O C. 3: Incorrect. Scatterplot 3 shows a very strong positive linear association. - O D. 4: Incorrect. Scatterplot 4 shows a weak to moderately strong positive association. - O E. 1: This is the correct answer as Scatterplot 1 shows little or no association. - O F. None of these scatterplots: Incorrect. Scatterplot 1 does show little or no association. Therefore, for part (a), the correct answer is E. Scatterplot (1) shows little or no association.
Transcribed Image Text:**Understanding Scatterplots and Their Associations** Scatterplots are fundamental tools used in statistics to observe relationships between two variables. When analyzing scatterplots, it is essential to determine the type of association that exists between the data points. Associations can range from little to no association, negative or positive association, linear, or non-linear. Here we analyze four scatterplots to identify the type of association they represent. **Question:** Which of the scatterplots to the right show: a) Little or no association? b) A negative association? c) A linear association? d) A weak or moderately strong association? e) A very strong association? **Answer Choices:** a) Which scatterplot(s) show(s) little or no association? - O A. All of these scatterplots - O B. 2 - O C. 3 - O D. 4 - O E. 1 - O F. None of these scatterplots **Scatterplots Description:** 1. **Scatterplot (1):** This plot shows data points that are widely dispersed with no visible pattern, indicating little to no association. 2. **Scatterplot (2):** This plot shows data points that trend downwards, indicating a negative association. 3. **Scatterplot (3):** This plot shows data points that are tightly clustered around an upward sloping line, indicating a very strong positive linear association. 4. **Scatterplot (4):** This plot shows data points that roughly follow an upward trend but are more spread out compared to Scatterplot (3), indicating a weak to moderately strong positive association. **Explanation of the Answer Choices:** - O A. All of these scatterplots: This is incorrect because not all the scatterplots show little or no association. - O B. 2: Incorrect. Scatterplot 2 shows a negative association, not little or no association. - O C. 3: Incorrect. Scatterplot 3 shows a very strong positive linear association. - O D. 4: Incorrect. Scatterplot 4 shows a weak to moderately strong positive association. - O E. 1: This is the correct answer as Scatterplot 1 shows little or no association. - O F. None of these scatterplots: Incorrect. Scatterplot 1 does show little or no association. Therefore, for part (a), the correct answer is E. Scatterplot (1) shows little or no association.
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