4. Dynamic viscosity of water µ(10-³Ns/m²) is related to temperature T(°C) in the following manner: T 0 5 10 20 30 40 μ 1.787 1.519 1.307 1.002 0.7975 0.6529 (a) Plot this data. (b) Use polynomial regression to fit a parabola to the data and to predict μ at T = 7.5 (°C). (c) Determine the coefficient of determination, standard deviation and the standard error of estimate.

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 33EQ
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4. Dynamic viscosity of water µ(10-³Ns/m²) is related to temperature T(°C) in the following
manner:
T
0
5
10
20
30
40
μ
1.787
1.519
1.307
1.002
0.7975
0.6529
(a) Plot this data.
(b) Use polynomial regression to fit a parabola to the data and to predict μ at T = 7.5 (°C).
(c) Determine the coefficient of determination, standard deviation and the standard error of
estimate.
Transcribed Image Text:4. Dynamic viscosity of water µ(10-³Ns/m²) is related to temperature T(°C) in the following manner: T 0 5 10 20 30 40 μ 1.787 1.519 1.307 1.002 0.7975 0.6529 (a) Plot this data. (b) Use polynomial regression to fit a parabola to the data and to predict μ at T = 7.5 (°C). (c) Determine the coefficient of determination, standard deviation and the standard error of estimate.
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