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8. (4 points each) The weekly earnings for 16-24 year-old men employed full time are given below: 2000 2002 2003 2004 2005 2006 2008 Years since 2000 0 2 3 4 5 6 8 Weekly earnings (dollars) 375 391 398 400 409 418 461 (a) Let E(x) denote the weekly earnings of 16-24 year-old men where a is the number of years since 2000. Use the table above to find a best fit model for E(x). Choose from EXPONENTIAL, LOGISTIC, or CUBIC. Give your model with all coefficients rounded to three decimal places. E ( x ) = 0. 3 3 8 263 - 3. 075 262 + 13. 2232+ 374. 86 (b) According to the full model, how rapidly is the weekly earnings changing in the year 2007? Use two decimal places and give units. Show work. E' ( 7 ) = 20. 7 4 $ per year (c) Using the full model for E(x), find the average value of the weekly earnings between 2007 and 2009. Use two decimal places and give units. Show work