Does it pay to stay in school? A report looked at the median hourly wage gain per additional year of schooling in 2007. The report states that workers with a high school diploma had a median hourly wage that was 13% higher than those who had only completed 11 years of school. Workers who had completed 1 year of college (13 years of education) had a median hourly wage that was 14% higher than that of the workers who had completed only 12 years of school. The added gain in median hourly wage for each additional year of school is shown in the accompanying table. The entry for 15 years of schooling has been intentionally omitted from the table. Years of Schooling 2007 Median Hourly Wage Gain for the Additional Year (percent) 12 13 13 14 14 16 16 19 17 21 18 22 (a) Use the given data to predict the median hourly wage gain for the 15th year of schooling.                        % (b) The actual wage gain for 15th year of schooling was 18%. How close was the actual value to the predicted wage gain percent from part (a)? (Use actual − predicted.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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Does it pay to stay in school? A report looked at the median hourly wage gain per additional year of schooling in 2007. The report states that workers with a high school diploma had a median hourly wage that was 13% higher than those who had only completed 11 years of school. Workers who had completed 1 year of college (13 years of education) had a median hourly wage that was 14% higher than that of the workers who had completed only 12 years of school. The added gain in median hourly wage for each additional year of school is shown in the accompanying table. The entry for 15 years of schooling has been intentionally omitted from the table.
Years of Schooling 2007 Median Hourly Wage Gain
for the Additional Year (percent)
12 13
13 14
14 16
16 19
17 21
18 22
(a)
Use the given data to predict the median hourly wage gain for the 15th year of schooling.
                       %
(b)
The actual wage gain for 15th year of schooling was 18%. How close was the actual value to the predicted wage gain percent from part (a)? (Use actual − predicted.)
                        %
 
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