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(14) and L'(14). (C) Interpret L(16) and L'(16) in this context. (0) 1(x) Year 1980 1985 1990 1995 2000 Limousines Produced 2600 6200 4000 3600 5400

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(14) and L'(14).
(C) Interpret L(16) and L'(16) in this context.
Year
1980
1985
1990
1995
2000
Limousines
Produced
2600
6200
4000
3600
5400
(A) L(x)=
(Use integers or decimals rounded to the nearest hundredth for any numbers in the equation.)
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(14) and L'(14). (C) Interpret L(16) and L'(16) in this context. Year 1980 1985 1990 1995 2000 Limousines Produced 2600 6200 4000 3600 5400 (A) L(x)= (Use integers or decimals rounded to the nearest hundredth for any numbers in the equation.)
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