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An educator estimates that the dropout rate for seniors at high schools in a certain state is 15%. Last year, 38 seniors from a random sample of 200 seniors in that state withdrew. The test statistic is (Round answer to two decimal places. Do not write 0.12 as .12.)

An educator estimates that the dropout rate for seniors at high schools in a certain state is 15%. Last year, 38 seniors from a random sample of 200 seniors in that state withdrew. The test statistic is (Round answer to two decimal places. Do not write 0.12 as .12.)

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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### Understanding Correlation in Scatter Plots The image showcases four scatter plots labeled A, B, C, and D, which illustrate different types of correlation between two variables. Below is a detailed explanation of each part: 1. **Scatter Plot A**: - **Description**: This plot shows a clear descending pattern, where the data points trend from the top left to the bottom right. - **Interpretation**: This indicates a strong negative correlation, meaning as one variable increases, the other variable tends to decrease. The correlation coefficient (r) is likely close to -1. 2. **Scatter Plot B**: - **Description**: The points here form an ascending pattern from the lower left to the upper right. - **Interpretation**: This suggests a positive correlation, indicating that as one variable increases, the other variable also tends to increase. The correlation coefficient (r) is positive and likely closer to 1. 3. **Scatter Plot C**: - **Description**: The data points are more scattered and do not form a clear pattern, though there may be a slight downward trend. - **Interpretation**: This could indicate a weak negative correlation. The correlation coefficient (r) might be around -0.5, though not as strong as in Plot A. 4. **Scatter Plot D**: - **Description**: Here, the points are randomly dispersed without any apparent upward or downward trend. - **Interpretation**: This indicates no correlation between the two variables. The correlation coefficient (r) is close to 0. ### Key Insight - **This graph has an \( r \) of -0.5.** - This statement likely refers to Scatter Plot C, where the data points exhibit a weak negative correlation. While there is a slight tendency for the variables to be inversely related, it is not a strong or perfect correlation. Understanding these concepts is crucial for analyzing data patterns and making informed conclusions based on the strength and direction of relationships between variables.
Transcribed Image Text:### Understanding Correlation in Scatter Plots The image showcases four scatter plots labeled A, B, C, and D, which illustrate different types of correlation between two variables. Below is a detailed explanation of each part: 1. **Scatter Plot A**: - **Description**: This plot shows a clear descending pattern, where the data points trend from the top left to the bottom right. - **Interpretation**: This indicates a strong negative correlation, meaning as one variable increases, the other variable tends to decrease. The correlation coefficient (r) is likely close to -1. 2. **Scatter Plot B**: - **Description**: The points here form an ascending pattern from the lower left to the upper right. - **Interpretation**: This suggests a positive correlation, indicating that as one variable increases, the other variable also tends to increase. The correlation coefficient (r) is positive and likely closer to 1. 3. **Scatter Plot C**: - **Description**: The data points are more scattered and do not form a clear pattern, though there may be a slight downward trend. - **Interpretation**: This could indicate a weak negative correlation. The correlation coefficient (r) might be around -0.5, though not as strong as in Plot A. 4. **Scatter Plot D**: - **Description**: Here, the points are randomly dispersed without any apparent upward or downward trend. - **Interpretation**: This indicates no correlation between the two variables. The correlation coefficient (r) is close to 0. ### Key Insight - **This graph has an \( r \) of -0.5.** - This statement likely refers to Scatter Plot C, where the data points exhibit a weak negative correlation. While there is a slight tendency for the variables to be inversely related, it is not a strong or perfect correlation. Understanding these concepts is crucial for analyzing data patterns and making informed conclusions based on the strength and direction of relationships between variables.
**Estimation of High School Dropout Rates** An educator estimates that the dropout rate for seniors at high schools in a certain state is 15%. Last year, 38 seniors from a random sample of 200 seniors in that state withdrew. **Calculation of Test Statistic** To determine if this sample provides significant evidence that the dropout rate is different from the estimated 15%, we compute the test statistic. The test statistic is: [Blank for answer] (Round answer to two decimal places. Do not write 0.12 as .12.)
Transcribed Image Text:**Estimation of High School Dropout Rates** An educator estimates that the dropout rate for seniors at high schools in a certain state is 15%. Last year, 38 seniors from a random sample of 200 seniors in that state withdrew. **Calculation of Test Statistic** To determine if this sample provides significant evidence that the dropout rate is different from the estimated 15%, we compute the test statistic. The test statistic is: [Blank for answer] (Round answer to two decimal places. Do not write 0.12 as .12.)
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