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least squares

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
173 18 1 79
183 20 1 87
157 23 0 49
163 20 0 57
167 19 0 60
We wish to fit a linear function of the form w(t) = c0+c1h+c2a+c3g which predicts the weight from the rest of the data. Find the best approximation of this function,using least squares.
c0 = ? c1 = ? c2 = ? c3? computer program is fine....
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Dear student, please refer to the question below.
Question:

I have a linear algebra quetion. THe quetion is in the homework section regarding Least Squares.

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

183 20 1 83

160 20 0 55

170 19 1 69

157 23 0 52

178 20 1 77

We wish to fit a linear function of the form

f(t)=c0+c1h+c2a+c3g

to these data. Find the best approximation of this form, using least squares.

c0=

c1=

c2=

c3=

Ans:

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