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. We wish to fit a linear function of the form Height Age Gender Weight 20 19. 21 23 22 w=w(h,a,g) = 163 170 168 157 184 0 1 0 0 1 61 73 66 54 88 w co+ch + c₂a + cag which predicts the weight from the rest of the data. Find the best approximation of this function, using least squares.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 88E
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Hh.45.

 

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.
We wish to fit a linear function of the form
w=w(h,a,g) =
Height Age Gender
20
19.
21
23
22
4.
163
170
168
157
184
0
1
0
0
1
w co+ch + c₂a + cag
which predicts the weight from the rest of the data. Find the best approximation of this function, using least squares.
Weight
61
73
66
54
88
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. We wish to fit a linear function of the form w=w(h,a,g) = Height Age Gender 20 19. 21 23 22 4. 163 170 168 157 184 0 1 0 0 1 w co+ch + c₂a + cag which predicts the weight from the rest of the data. Find the best approximation of this function, using least squares. Weight 61 73 66 54 88
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