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) On the line below, write the least squares regression equation that models the data. Let x = time in years since 1900 and let y = minimum hourly wage. Use Desmos, and do not round the equation it gives you.

(b) Use the equation to estimate the minimum hourly wage of a U. S. worker in 2025. Use Desmos and round to the nearest cent.
Minimum hourly wage =
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2The table shows the soil density of several soil samples at different depths.

Depth (m) 1 5 6 8 10 12 14 21 23 24 28
Soil density ( )
1045 1063 1102 1140 1191 1232 1249 1254 1265 1268 1273

(a) On the line below, write the quadratic regression equation that models the data. Let x = depth below the surface and let y = soil density. Use Desmos, and do not round the equation it gives you.

(b) Use the equation to estimate the soil density of a sample at a depth of 20 m. Use Desmos, and round the density to the nearest whole number.
Soil density =
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