5. The following points are given: 2.2 3.7 6.4 9 11.5 14.2 17.8 20.5 23.2 12 6.6 5.5 7.2 9.2 9.6 8.5 6.5 2.2 (a) Fit the data with a first-order polynomial. Make a plot of the points and the polynomial. (b) Fit the data with a second-order polynomial. Make a plot of the points and the polynomial. (c) Fit the data with a third-order polynomial. Make a plot of the points and the polynomial. (d) Fit the data with an fifth-order polynomial. Make a plot of the points and the polynomial.
5. The following points are given: 2.2 3.7 6.4 9 11.5 14.2 17.8 20.5 23.2 12 6.6 5.5 7.2 9.2 9.6 8.5 6.5 2.2 (a) Fit the data with a first-order polynomial. Make a plot of the points and the polynomial. (b) Fit the data with a second-order polynomial. Make a plot of the points and the polynomial. (c) Fit the data with a third-order polynomial. Make a plot of the points and the polynomial. (d) Fit the data with an fifth-order polynomial. Make a plot of the points and the polynomial.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 66E
Related questions
Question
Transcribed Image Text:5.
The following points are given:
2.2 3.7
17.8 20.5
1
6.4
11.5
14.2
23.2
12
9
6.6
5.5
7.2
9.2
9.6
8.5
6.5
2.2
(a) Fit the data with a first-order polynomial. Make a plot of the points and
the polynomial.
(b) Fit the data with a second-order polynomial. Make a plot of the points and
the polynomial.
(c) Fit the data with a third-order polynomial. Make a plot of the points and
the polynomial.
(d) Fit the data with an fifth-order polynomial. Make a plot of the points and
the polynomial.
6.
.Measurements of the fuel efficiency of a car Fg at various spceds v are shown
in the table.
v (mi/h)
5
15
25
35
45
55
65
75
FE (mpg)
11
22
28
29.5
30
30
27
23
(a) Curve-fit the data with a second-order polynomial. Use the polynomial to
estimate the fuel efficiency at 60 mi/h. Make a plot of the points and the poly-
nomial.
(b) Curve-fit the data with a third-order polynomial. Use the polynomial to
estimate the fuel efficiency at 60 mi/h. Make a plot of the points and the poly-
nomial.
(c) Fit the data with linear and spline interpolations. Estimate the fuel effi-
ciency at 60 mi/h with linear and spline interpolations. Make a plot that shows
the data points and curves made of interpolated points.
24
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