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(1 point) 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 86 80 60 64. 75 183 20 176 20 164 21 169 19 172 18 0 0 We wish to fit a linear function of the form 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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Answer #1

Here equahians are 193+20c G-s(+20-8 . The normal equations are2 5c,+864+98+303-36s]-0 S2864 149 o6+169312+ 531e3-63340 i.е., 864G+14950 6 G+ 1 6 9 3 1g+531C3 ← 63374-0 ie, 8 C 16931 +1926

Solving we get, c0\approx 67464.26, c1\approx 390.06, c2\approx 0.44, c3\approx 8.93

Therefore, the best approximation of this function is : w = 67464.56+390.06h+0.44a+8.93g

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