1. Plot the data on an x-y plot. 2. Use lincar interpolation to approximatc the value of y when x = 15. 3. Usc cubic splinc interpolation to approximate the value of y when x= 15.
1. Plot the data on an x-y plot. 2. Use lincar interpolation to approximatc the value of y when x = 15. 3. Usc cubic splinc interpolation to approximate the value of y when x= 15.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 48E
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Transcribed Image Text:Experiment 12: One- and Two-Dimensions Interpolation
1.
Create x and y vectors to represent the following data:
10
23
20
45
30
60
40
82
50
111
60
140
70
167
80
198
90
200
100
220
1. Plot the data on an x-y plot.
2. Use linear interpolation to approximate the value of y when x = 15.
3. Usc cubic splinc interpolation to approximate the value of ywhen x = 15.
4. Use linear interpolation to approximate the value of x when y = 80.
5. Usc cubic splinc interpolation to approximate the value of xwhen y = 80.
6. Usc cubic spline interpolation to approximate yvalucs for xvalucs
cvenly spaced between 10 and 100 at intervals of 2.
7. Plot the original data on an x-y plot as data points not connected by a
linc. Also, plot the values calculated in Exercise 6.
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