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 175 182 156 174 165 We wish to fit a linear function of the form f(t) = Age Gender 20 20 23 18 21 1 1 0 1 0 Weight 77 84 49 76 56 = co + c₁h + c₂a + c3g to these data. Find the best approximation of this form, using least squares. Co C1 = C2 = C3 =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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
We wish to fit a linear function of the form
C2 =
||
Age Gender
175 20
182
20
156
23
174
18
165
21
1
1
0
1
0
f(t) = co + c₁h + c₂a + c3g
to these data. Find the best approximation of this form, using least squares.
Co =
C1 =
Weight
77
84
49
76
56
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 We wish to fit a linear function of the form C2 = || Age Gender 175 20 182 20 156 23 174 18 165 21 1 1 0 1 0 f(t) = co + c₁h + c₂a + c3g to these data. Find the best approximation of this form, using least squares. Co = C1 = Weight 77 84 49 76 56
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