Annual limousine production for the selected years is given in the table below. (A) Let x represent time (in years) since 1980, and let y Limousines represent the corresponding production of Year Produced limousines. Enter the data in a graphing calculator 1980 2400 and find a cubic regression equation for the data. 1985 6200 (B) Let L(x) denote the regression equation found in part (A) with coefficients rounded to the nearest 1990 4400 hundredth. Find L(13) and L'(13). 1995 3500 (C) Interpret L(18) and L'(18) in this context. 2000 5600 . . . (A) L(x) = (Use integers or decimals rounded to the nearest hundredth for any numbers in the equation.)Annual limousine production for the selected years is given in the table below. (A) Let x represent time (in years) since 1980, and let y Limousines represent the corresponding production of Year Produced limousines. Enter the data in a graphing calculator 1980 2300 1985 m and nd a cubic regression equation for the data. (B) Let L(x) denote the regression equation found in part (A) with coefcients rounded to the nearest 1990 4100 hundredth. Find L(11)and L'(11). m 2900 (C) Interpret L(17)and L'(1?) in this context. m 5800 (A) Enter the data in a graphing calculator and find a cubic regression equation for the data. Note that the variable x is defined to be the number of years after 1980. Fill in the values that should be typed into the first list in your calculator. Year 1980 1985 1990 1995 2000 List 1 0 5 10 15 20 Type the number of limousines produced into the second list in your calculator. List 2 2300 6200 4100 2900 5800 Use the regression feature of your calculator to find the best-fitting cubic polynomial.Use the regression feature of your calculator to find the best-fitting cubic polynomial. The polynomial is L(x) = 6.73x - 205.14x + 1584.52x + 2352.86(B) Find L(11) and L'(11). Because the given data has been rounded to the nearest one hundred limousines, round these answers to the nearest one hundred also. Recall that L(x) = 6.73x3 - 205.14)(2 + 1584.52x + 2352.86. L(11)= 6.'1f3(11)3 - 205.14(1 1)2 +1534.52(11)+ 2352.86 = 3918.27 L(11)m 3900 To nd L'(1 1), rst obtain the derivative function L'(x) by taking the derivative of L(x) = 6.73):3 - 20531:\"2 + 1584.52): + 2352.86. d L'(x) _ 2 ( 2 ) Take the derivative of the 20.19X - a 205.14X + 1584.52X + 2352.86 rst term. _ 2 d Take the derivative of the 20.19): -410.28X+ a(1584.52x+2352.86) second term.