table lists the approximate values V of a mid-sized sedan for the years 2010 through 2016. The variable t represents the time (in years), with t = 10 corresponding to 2010. 10 11 12 13 14 15 16 V $23,046 $20,596 $18,851 $17.001 $15,226 $14,101 $12,841 Use the regression capabilities of a graphing utility to fit linear and quadratic models to the data. (Round your coefficients to two decimal places.) Linear model V = Quadratic model V = Plot the data and graph the models. 22 000 24000 22000 20 000 Z2 000 20 000 000 RT 20 000 18 U00 16 U00 16 000 oon Rt 14 000- IG000 14 000 12 000- 14 000 12000 10 12 14 10 12 14 16 10 12 14 24 000 22 000 20 000 18 U00 1G 000- 14 000 10 12 (b) What does the slope represent in the linear model in part (a)? O The slope represents the average loss in value per year in the linear model. O The slope represents the total cost of repairs per year in the linear model. O The slope represents the value of the car that year in the linear model. O The slope represents average cost of repairs per year in the linear model. O The slope represents the total value lost that year in the linear model. (c) Use the regression capabilities of a graphing utility to fit an exponential model to the data. (Round your coefficients to four decimal places)
table lists the approximate values V of a mid-sized sedan for the years 2010 through 2016. The variable t represents the time (in years), with t = 10 corresponding to 2010. 10 11 12 13 14 15 16 V $23,046 $20,596 $18,851 $17.001 $15,226 $14,101 $12,841 Use the regression capabilities of a graphing utility to fit linear and quadratic models to the data. (Round your coefficients to two decimal places.) Linear model V = Quadratic model V = Plot the data and graph the models. 22 000 24000 22000 20 000 Z2 000 20 000 000 RT 20 000 18 U00 16 U00 16 000 oon Rt 14 000- IG000 14 000 12 000- 14 000 12000 10 12 14 10 12 14 16 10 12 14 24 000 22 000 20 000 18 U00 1G 000- 14 000 10 12 (b) What does the slope represent in the linear model in part (a)? O The slope represents the average loss in value per year in the linear model. O The slope represents the total cost of repairs per year in the linear model. O The slope represents the value of the car that year in the linear model. O The slope represents average cost of repairs per year in the linear model. O The slope represents the total value lost that year in the linear model. (c) Use the regression capabilities of a graphing utility to fit an exponential model to the data. (Round your coefficients to four decimal places)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section1.FOM: Focus On Modeling: Fitting Lines To Data
Problem 6P
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Transcribed Image Text:e table lists the approximate values V of a mid-sized sedan for the years 2010 through 2016. The variable t represents the time (in years), with t = 10 corresponding to 2010.
10
11
12
13
14
15
16
V.
523,046
$20,596
$18,851
$17.001
$15,226
$14,101
$12,841
) Use the regression capabilities of a graphing utility to fit linear and quadratic models to the data. (Round your coefficients to two decimal places.)
Linear model
Quadratic model
%3D
Plot the data and graph the models.
22000
24000
22:000
20000
20000
2000
oonat
14 000-
14 no
12 000-
14 000
12000/-
10
12
14
16
12
10
12
24 000
Z2000
20 000
oo0 RT
16000-
14 000-
10
12
(b) What does the slope represent in the linear model in part (a)?
O The slope represents the average loss in value per year in the linear model.
O The slope represents the total cost of repairs per year in the linear model.
O The slope represents the value of the car that year in the linear model.
O The slope represents average cost of repairs per year in the linear model,
O The slope represents the total value lost that year in the linear model.
(c) Use the regression capabilities of a graphing utility to fit an exponential model to the data. (Round your coefficients to four decimal places.)
(d) Determine the horizontal asymptote of the exponential model found in part (c).
As t-o, V -
for the exponential model.
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