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. Height Age Gender Weight 19 We wish to fit a linear function of the form C2 = to these data. Find the best approximation of this form, using least squares. Co = C1 = C3 = 178 165 159 162 184 n 19 22 22 22 1 0 0 0 1 f(t) = co+c₁h+c₂a + c3g 85 62 54 59 91

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.
Height Age Gender Weight
19
19
22
22
22
We wish to fit a linear function of the form
C₁ =
to these data. Find the best approximation of this form, using least squares.
co=
C2 =
C3
178
165
159
162
184
I
1
0
0
0
1
f(t) = co+c₁h+c₂a + c3g
85
62
54
59
91
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. Height Age Gender Weight 19 19 22 22 22 We wish to fit a linear function of the form C₁ = to these data. Find the best approximation of this form, using least squares. co= C2 = C3 178 165 159 162 184 I 1 0 0 0 1 f(t) = co+c₁h+c₂a + c3g 85 62 54 59 91
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