The table below lists the height h (in cm), the age a (in years), the gender g (0="Female", 1="Male"), and the weight w (in kg) of some college students. Height 172 158 161 177 184 Age Age 20 21 22 21 20 Gender Gender 1 0 0 1 1 Weight 82 52 55 We wish to fit a linear function of the form 85 92 w = co + c₁h + c₂a + c3g which predicts the weight from the rest of the data. Find the best approximation of this function, using least squares. w = w(h, a, g) =

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The table below lists the height h (in cm), the
age a (in years), the gender g (0="Female", 1="Male"),
and the weight w (in kg) of some college students.
Height Age Gender Weight
20
82
52
55
85
92
172
158 21
161 22
177
21
184
20
1
0
0
1
1
We wish to fit a linear function of the form
W = w(h, a, g) =
w = c +c₁h+c₂a + c38
which predicts the weight from the rest of the data. Find
the best approximation of this function, using least
squares.
Transcribed Image Text:The table below lists the height h (in cm), the age a (in years), the gender g (0="Female", 1="Male"), and the weight w (in kg) of some college students. Height Age Gender Weight 20 82 52 55 85 92 172 158 21 161 22 177 21 184 20 1 0 0 1 1 We wish to fit a linear function of the form W = w(h, a, g) = w = c +c₁h+c₂a + c38 which predicts the weight from the rest of the data. Find the best approximation of this function, using least squares.
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