The table below lists the height h (in cm), the age a (in years), the gender g (1="Male", 0="Female"), and the weight (in kg) of some college students. Height Age Gender Weight 167 20 181 21 178 19 170 18 162 22 We wish to fit a linear function of the form to these data. Find the best approximation of this form, using least squares. S C₁ C₂ || || || 0 1 1 1 0 f(t) = co+c₂h+c₂a+c₂g 58 81 79 70 53

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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The table below lists the height h (in cm), the age a (in years), the gender g (1="Male", 0="Female"), and the weight w (in kg) of some college students.
Age Gender
Weight
20
58
21
81
19
79
18
70
22
53
We wish to fit a linear function of the form
to these data. Find the best approximation of this form, using least squares.
Co=
C1
C₁
=
C₂ =
Ju
Height
167
181
178
170
162
0
1
1
1
0
f(t) = co+c₂h+c₂a + c3g
Transcribed Image Text:The table below lists the height h (in cm), the age a (in years), the gender g (1="Male", 0="Female"), and the weight w (in kg) of some college students. Age Gender Weight 20 58 21 81 19 79 18 70 22 53 We wish to fit a linear function of the form to these data. Find the best approximation of this form, using least squares. Co= C1 C₁ = C₂ = Ju Height 167 181 178 170 162 0 1 1 1 0 f(t) = co+c₂h+c₂a + c3g
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