The table shows the minimum wage rates for the United States during different years. Year 1978 1979 1980 1990 1991 1996 1997 2007 2008 2009 Minimum hourly wage ($) 2.65 2.90 3.35 3.80 4.25 4.75 5.15 5.85 6.55 7.25 (a) Write the least squares regression equation that models the data. Let x = time in years since 1900 and let y = minimum hourly wage. (b) Use the equation to estimate the minimum hourly wage of a U.S. worker in 2025. Show your work.

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
Section5.4: Mathematical Models And Least Squares Analysis
Problem 39E
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The table shows the minimum wage rates for the United States during different years.
Year
1978 1979 1980 1990| 1991 1996
1997 2007 2008 2009
Minimum hourly wage ($) 2.65 2.90 3.35 3.80 | 4.25 4.75 5.15 5.85 6.55 7.25
(a) Write the least squares regression equation that models the data. Let x = time in years since
1900 and let y = minimum hourly wage.
(b) Use the equation to estimate the minimum hourly wage of a U.S. worker in 2025. Show your
work.
Transcribed Image Text:The table shows the minimum wage rates for the United States during different years. Year 1978 1979 1980 1990| 1991 1996 1997 2007 2008 2009 Minimum hourly wage ($) 2.65 2.90 3.35 3.80 | 4.25 4.75 5.15 5.85 6.55 7.25 (a) Write the least squares regression equation that models the data. Let x = time in years since 1900 and let y = minimum hourly wage. (b) Use the equation to estimate the minimum hourly wage of a U.S. worker in 2025. Show your work.
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