For the following data. X 1.7 3.24 4.8 6.93 y 1.11 1.39 2.73 3.13 a. Find the newton interpolating polynomial (in general form) using a divided difference table. b. Find the least squares line and the corresponding r2 value. c. Find the least squares parabola and the corresponding r value. d. Using the equations of b and c , estimate the value of y for: i. x = 4.00, provide a brief discussion. ii. x = 7.00, provide a brief discussion.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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For the following data.
1.7
3.24
4.8
6.93
y
1.11
1.39
2.73
3.13
a. Find the newton interpolating polynomial (in general form) using a divided difference table.
b. Find the least squares line and the corresponding r2 value.
c. Find the least squares parabola and the corresponding r value.
d. Using the equations of b and c , estimate the value of y for:
i. x = 4.00, provide a brief discussion.
ii. x = 7.00, provide a brief discussion.
Transcribed Image Text:For the following data. 1.7 3.24 4.8 6.93 y 1.11 1.39 2.73 3.13 a. Find the newton interpolating polynomial (in general form) using a divided difference table. b. Find the least squares line and the corresponding r2 value. c. Find the least squares parabola and the corresponding r value. d. Using the equations of b and c , estimate the value of y for: i. x = 4.00, provide a brief discussion. ii. x = 7.00, provide a brief discussion.
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