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 represent the corresponding production of limousines. Enter the data in a graphing calculator and find a cubic regression equation for the data. (B) Let L(x) denote the regression equation found in part (A) with coefficients rounded to the nearest hundredth. Find L(13) and L'(13). (C) Interpret L(17) and L'(17) in this context. Limousines Year Produced 1980 2200 1985 7000 1990 4100 1995 3400 2000 5800 (A) L(X) =| (Use integers or decimals rounded to the nearest hundredth for any numbers in the equation.) (B) L(13) (Type an integer or decimal rounded to the nearest hundred as needed.) L'(13) (C) Interpret L(17) 3200 in the context of the problem. O A. In 1997 the number of limousines produced was increasing by 3200 per year. B. The number of limousines produced in 1997 was 3200. C. The number of limousines produced 17 years from now will be 3200. Click to select your answer(s).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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
represent the corresponding production of
limousines. Enter the data in a graphing calculator
and find a cubic regression equation for the data.
(B) Let L(x) denote the regression equation found in
part (A) with coefficients rounded to the nearest
hundredth. Find L(13) and L'(13).
(C) Interpret L(17) and L'(17) in this context.
Limousines
Year
Produced
1980
2200
1985
7000
1990
4100
1995
3400
2000
5800
(A) L(X) =
(Use integers or decimals rounded to the nearest hundredth for any numbers in the equation.)
(B) L(13)
(Type an integer or decimal rounded to the nearest hundred as needed.)
L'(13)
(C) Interpret L(17) 3200 in the context of the problem.
O A. In 1997 the number of limousines produced was increasing by 3200 per year.
B. The number of limousines produced in 1997 was 3200.
O C. The number of limousines produced 17 years from now will be 3200.
Click to select your answer(s).
Transcribed Image Text: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 represent the corresponding production of limousines. Enter the data in a graphing calculator and find a cubic regression equation for the data. (B) Let L(x) denote the regression equation found in part (A) with coefficients rounded to the nearest hundredth. Find L(13) and L'(13). (C) Interpret L(17) and L'(17) in this context. Limousines Year Produced 1980 2200 1985 7000 1990 4100 1995 3400 2000 5800 (A) L(X) = (Use integers or decimals rounded to the nearest hundredth for any numbers in the equation.) (B) L(13) (Type an integer or decimal rounded to the nearest hundred as needed.) L'(13) (C) Interpret L(17) 3200 in the context of the problem. O A. In 1997 the number of limousines produced was increasing by 3200 per year. B. The number of limousines produced in 1997 was 3200. O C. The number of limousines produced 17 years from now will be 3200. Click to select your answer(s).
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