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 168 21 156 22 181 20 162 172 We wish to fit a linear function of the form to these data. Find the best approximation of this form, using least squares. Co J || || || || 22 20 0 0 1 0 1 f(t)=co+c₂h+c₂a+€3g 64 51 88 57 77

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 37E
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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
21
22
20
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
C₂
3
||
||
168
156
181
162
172 20
28
22
0
0
1
0
1
f(t) = co+c₂h+c₂a + c3g
64
51
88
57
77
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 21 22 20 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 C₂ 3 || || 168 156 181 162 172 20 28 22 0 0 1 0 1 f(t) = co+c₂h+c₂a + c3g 64 51 88 57 77
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