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# 10-13 Eleven states were randomly selected from among the 50 United States. This data represents the percentage of households in each state that are below the poverty level (Poverty Rate) based on household income and the percentage of adults in the state who had earned at least a high school degree (HS and Above) Poverty HS and Rate Above 9.2 10.1 11.1 12.1 12.6 15.0 15.9 16.2 17.9 20.1 9.2 90.4 89.0 85.3 84.7 89.4 83.1 82.4 79.9 80.8 80.4 90.4 HS and Above (%) 91- 90- 89- 88- 86- BETRO 82- 81- 80- 79- 10 Equation ns2 y=98.74 -1.006x 11 1.887 0.81 10. Describe the relationship between the variables. 15 B Poverty Rate (%) ● 20 25

# 10-13 Eleven states were randomly selected from among the 50 United States. This data represents the percentage of households in each state that are below the poverty level (Poverty Rate) based on household income and the percentage of adults in the state who had earned at least a high school degree (HS and Above) Poverty HS and Rate Above 9.2 10.1 11.1 12.1 12.6 15.0 15.9 16.2 17.9 20.1 9.2 90.4 89.0 85.3 84.7 89.4 83.1 82.4 79.9 80.8 80.4 90.4 HS and Above (%) 91- 90- 89- 88- 86- BETRO 82- 81- 80- 79- 10 Equation ns2 y=98.74 -1.006x 11 1.887 0.81 10. Describe the relationship between the variables. 15 B Poverty Rate (%) ● 20 25

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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**Educational Analysis of Poverty Rate and Education Level** The dataset includes information from eleven randomly selected U.S. states, examining the relationship between the percentage of households below the poverty level (Poverty Rate) and the percentage of adults with at least a high school diploma (HS and Above). **Data Table:** - The table provides two columns: one for Poverty Rate and the other for HS and Above. - The values show the variation in poverty rates alongside the corresponding percentage of adults with high school education or higher. - Notable values include: - States with higher poverty rates (e.g., 20.1%, 17.9%) tend to have lower percentages of adults with high school education (e.g., 80.4%, 80.8%). **Scatter Plot Analysis:** - The graph shows the relationship between Poverty Rate (x-axis) and HS and Above (y-axis). - Blue dots represent each state’s data. - A downward-sloping line of best fit indicates a negative correlation. - As the Poverty Rate increases, the percentage of adults with high school education generally decreases. **Equation and Statistical Metrics:** - The line of best fit is represented by the equation: \( y = 98.74 - 1.006x \). - This suggests that for each 1% increase in Poverty Rate, the HS and Above percentage decreases by approximately 1%. - \( n = 11 \) indicates the number of data points (states). - \( s = 11.887 \) is the standard deviation. - \( r^2 = 0.81 \) signifies a strong negative correlation, implying that approximately 81% of the variation in HS and Above can be explained by the Poverty Rate. **Conclusion:** This analysis highlights a strong inverse relationship between poverty rates and high school education attainment. As poverty increases, the percentage of adults with high school diplomas decreases, suggesting that higher poverty may be linked to lower educational achievement.
Transcribed Image Text:**Educational Analysis of Poverty Rate and Education Level** The dataset includes information from eleven randomly selected U.S. states, examining the relationship between the percentage of households below the poverty level (Poverty Rate) and the percentage of adults with at least a high school diploma (HS and Above). **Data Table:** - The table provides two columns: one for Poverty Rate and the other for HS and Above. - The values show the variation in poverty rates alongside the corresponding percentage of adults with high school education or higher. - Notable values include: - States with higher poverty rates (e.g., 20.1%, 17.9%) tend to have lower percentages of adults with high school education (e.g., 80.4%, 80.8%). **Scatter Plot Analysis:** - The graph shows the relationship between Poverty Rate (x-axis) and HS and Above (y-axis). - Blue dots represent each state’s data. - A downward-sloping line of best fit indicates a negative correlation. - As the Poverty Rate increases, the percentage of adults with high school education generally decreases. **Equation and Statistical Metrics:** - The line of best fit is represented by the equation: \( y = 98.74 - 1.006x \). - This suggests that for each 1% increase in Poverty Rate, the HS and Above percentage decreases by approximately 1%. - \( n = 11 \) indicates the number of data points (states). - \( s = 11.887 \) is the standard deviation. - \( r^2 = 0.81 \) signifies a strong negative correlation, implying that approximately 81% of the variation in HS and Above can be explained by the Poverty Rate. **Conclusion:** This analysis highlights a strong inverse relationship between poverty rates and high school education attainment. As poverty increases, the percentage of adults with high school diplomas decreases, suggesting that higher poverty may be linked to lower educational achievement.
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