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f894fe31-1e09-47e5-8b8b-1972b35deb18 20 Валерий Очков Alvaro Diaz Falconi 3 5 false true 0 7 decimal

&[DATE] &[TIME] - &[FILENAME]

Data 1891771791831801851781861761851841801801881831951941881821959080737385837575777376746881798875898580220 mat :

Height Data transpose 1 col :

Weight Data transpose 2 col :

n Data cols : 20

Height min 176

Height Mean 184.35

Height max 195

Weight min 68

Weight Mean 78.95

Weight max 90

a Height Weight Intercept : #

b Height Weight Slope : #

height weight a b height * + :

a.1 1.547 - :

b.1 3.579 :

c.1 0.973 :

Data Mathcad

Data transpose height weight a.1 x * b.1 y * + c.1 + 3 1 sys

a b c n m Clear 1

Minimizing the square orthogonal distance between points and line

Mathcad solution by V. F. Ochkov

L Data transpose h w 21 sys a h * b w * + a 2^b 2^+ sqrt / c + a b c 31 sys 11131 sys Fit :

L Assign 13.4 - 12.1 84.4 31 sys

a.1 1.55 -

b.1 3.58

c.1 0.973

Data transpose h w 21 sys a.1 h * b.1 w * + a.1 2^b.1 2^+ sqrt / c.1 + MSE 25.5

Data transpose h w 21 sys a h * b w * + a 2^b 2^+ sqrt / c + MSE 20.4

Minimizing the square vertical distance

LR Data transpose h w 21 sys w m h * n + ≡ m n 21 sys 1121 sys Fit :

LR Assign 0.413 2.83 21 sys

P Data points key Orth. distance (square), Maxima ≡ a x * b y * + a 2^b 2^+ sqrt / c + x 175200 y 6692 implicit color forest_green ≡ key Orth. distance (linear), Mathcad ≡ a.1 x * b.1 y * + a.1 2^b.1 2^+ sqrt / c.1 + x 175200 y 6692 implicit color red ≡ key Vertical distance (square), Maxima ≡ m x * n + x 175200 explicit key_pos bottom_right ≡ 101 sys :

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