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1. 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. Answer:

1. 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. Answer:

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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1. 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 ($) 2.65 2.90 3.35 3.80 4.25 4.75 5.15 5.85 6.55 7.25 (a) Write the least squares regression equation that models the data. Let x = time in years since 1900 and let y = minimum hourly wage. %3D (b) Use the equation to estimate the minimum hourly wage of a U.S. worker in 2025. Show your work. Answer:
Transcribed Image Text:1. The table shows the minimum wage rates for the United States during different years. Year 1978 1979 1980 1990 1991 1996 1997 2007 2008 2009 Minimum hourly wage ($) 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. %3D (b) Use the equation to estimate the minimum hourly wage of a U.S. worker in 2025. Show your work. Answer:
2. The table shows the soil density of several soil samples at different depths. Depth (m) 1 6. 8. 10 12 14 21 23 24 28 Soil density (mg/cm3) 1045 1063 1102 1140 1191 1232 1249 1254 1265 1268 1273 (a) Write the quadratic regression equation that models the data. Let x = depth below the surface and let y = soil density. (b) Use the equation to estimate the soil density of a sample at a depth of 20 m. Show your work. Answer:
Transcribed Image Text:2. The table shows the soil density of several soil samples at different depths. Depth (m) 1 6. 8. 10 12 14 21 23 24 28 Soil density (mg/cm3) 1045 1063 1102 1140 1191 1232 1249 1254 1265 1268 1273 (a) Write the quadratic regression equation that models the data. Let x = depth below the surface and let y = soil density. (b) Use the equation to estimate the soil density of a sample at a depth of 20 m. Show your work. Answer:
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