o determine a functional relationship between the attenuation ample of taconite, V. P. Singh [Si] fits a collection of data by usin The following collection of data is taken from a graph in that olynomial fitting these data. Thickness (cm) Attenuation coefficien 26.5 28.1 0.040 0.041

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 29EQ
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To determine a functional relationship between the attenuation coefficient and the thickness of a
sample of taconite, V. P. Singh [Si] fits a collection of data by using a linear least squares polynomial.
The following collection of data is taken from a graph in that paper. Find the linear least squares
polynomial fitting these data.
Thickness (cm) Attenuation coefficient (dB/cm)
26.5
28.1
25.2
0.040
0,041
0.055
0.056
0,062
0.071
0.071
0.078
0.082
0,090
0.092
0.100
0.105
0.120
0.123
0.130
0,140
26.0
24.0
25.0
26.4
27.2
25.6
25,0
26.8
24.8
27.0
25.0
27.3
26.9
26.2
Transcribed Image Text:To determine a functional relationship between the attenuation coefficient and the thickness of a sample of taconite, V. P. Singh [Si] fits a collection of data by using a linear least squares polynomial. The following collection of data is taken from a graph in that paper. Find the linear least squares polynomial fitting these data. Thickness (cm) Attenuation coefficient (dB/cm) 26.5 28.1 25.2 0.040 0,041 0.055 0.056 0,062 0.071 0.071 0.078 0.082 0,090 0.092 0.100 0.105 0.120 0.123 0.130 0,140 26.0 24.0 25.0 26.4 27.2 25.6 25,0 26.8 24.8 27.0 25.0 27.3 26.9 26.2
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