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Examine the following table. Level of Education not a high school graduate high school graduate some college, no degree associate degree bachelor's degree masters's degree doctorate degree Average Years of Education Average Annual Income (in $1000s) 10 23 12 13 14 16 17 20 What shape graph does the data create? O A straight line from the upper left to lower right. A straight line from the lower left to upper right. A bell curve skewed right. O A bell curve skewed left. 32 36 38 53 63 81

Examine the following table. Level of Education not a high school graduate high school graduate some college, no degree associate degree bachelor's degree masters's degree doctorate degree Average Years of Education Average Annual Income (in $1000s) 10 23 12 13 14 16 17 20 What shape graph does the data create? O A straight line from the upper left to lower right. A straight line from the lower left to upper right. A bell curve skewed right. O A bell curve skewed left. 32 36 38 53 63 81

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Educational Resource: Understanding the Relationship Between Education and Income** **Examine the following table:** | Level of Education | Average Years of Education | Average Annual Income (in $1000s) | |------------------------------|----------------------------|---------------------------------| | not a high school graduate | 10 | 23 | | high school graduate | 12 | 32 | | some college, no degree | 13 | 36 | | associate degree | 14 | 38 | | bachelor's degree | 16 | 53 | | master's degree | 17 | 63 | | doctorate degree | 20 | 81 | The table above lists various levels of education, the corresponding average years of education completed, and the average annual income in thousands of dollars for individuals at these educational levels. **Analysis of Data Trend** **Question:** What shape graph does the data create? 1. **A straight line from the upper left to lower right.** 2. **A straight line from the lower left to upper right.** 3. **A bell curve skewed right.** 4. **A bell curve skewed left.** **Explanation of Graph Shape:** Based on the values provided in the table, as the level of education and the average years of education increase, the average annual income also increases. This trend indicates a generally upward trajectory. Therefore, the shape graph corresponding to this data is most accurately described by option 2: - **A straight line from the lower left to upper right.** This implies that higher education levels are associated with higher average annual incomes, demonstrating a positive correlation between education and income.
Transcribed Image Text:**Educational Resource: Understanding the Relationship Between Education and Income** **Examine the following table:** | Level of Education | Average Years of Education | Average Annual Income (in $1000s) | |------------------------------|----------------------------|---------------------------------| | not a high school graduate | 10 | 23 | | high school graduate | 12 | 32 | | some college, no degree | 13 | 36 | | associate degree | 14 | 38 | | bachelor's degree | 16 | 53 | | master's degree | 17 | 63 | | doctorate degree | 20 | 81 | The table above lists various levels of education, the corresponding average years of education completed, and the average annual income in thousands of dollars for individuals at these educational levels. **Analysis of Data Trend** **Question:** What shape graph does the data create? 1. **A straight line from the upper left to lower right.** 2. **A straight line from the lower left to upper right.** 3. **A bell curve skewed right.** 4. **A bell curve skewed left.** **Explanation of Graph Shape:** Based on the values provided in the table, as the level of education and the average years of education increase, the average annual income also increases. This trend indicates a generally upward trajectory. Therefore, the shape graph corresponding to this data is most accurately described by option 2: - **A straight line from the lower left to upper right.** This implies that higher education levels are associated with higher average annual incomes, demonstrating a positive correlation between education and income.
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