33 The table below was obtained by using data for 40 males T

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The table below was obtained by using data for 40 males. The response (y) variable is weight (in pounds), and the predictor (x) variables are HT (height in inches), WAIST (waist circumference in cm), and CHOL (cholesterol in mg).

Predictor (x) Variables

P-value

R2

R2

Regression Equation

HT, WAIST, CHOL

0.000

0.873

0.862

y =?199+2.2?

HT+2.1?

WAIST?0.1

HT, WAIST

0.000

0.869

0.862

y =?219+2.06 HT+2.15 WAIST

HT, CHOL

0.002

0.302

0.264

y =?154+4.65 HT+0.00469 CHOL

WAIST, CHOL

0.000

0.793

0.782

y =?49.3+2.61 WAIST?0.0106 CHOL

HT

0.001

0.273

0.254

y =?139+4.55?

WAIST

0.000

0.790

0.785

y =?44.1+2.37?

CHOL

0.874

0.001

0.000

y =173?0.00233?

CHOL

If a male has a height of?

72?

in, a waist circumference of?

102?

cm, and a cholesterol level of?

263?

mg, what is the best predicted value of his weight?

The best predicted value of this male\'s weight is?

.

(Round to the nearest whole number as needed.)

Predictor (x) Variables	P-value	R2	Adjusted? R2	Regression Equation
HT, WAIST, CHOL	0.000	0.873	0.862	y =?199+2.2? HT+2.1? WAIST?0.1 ?CHOL
HT, WAIST	0.000	0.869	0.862	y =?219+2.06 HT+2.15 WAIST
HT, CHOL	0.002	0.302	0.264	y =?154+4.65 HT+0.00469 CHOL
WAIST, CHOL	0.000	0.793	0.782	y =?49.3+2.61 WAIST?0.0106 CHOL
HT	0.001	0.273	0.254	y =?139+4.55? HT
WAIST	0.000	0.790	0.785	y =?44.1+2.37? WAIST
CHOL	0.874	0.001	0.000	y =173?0.00233? CHOL
			If a male has a height of? 72? in, a waist circumference of? 102? cm, and a cholesterol level of? 263? mg, what is the best predicted value of his weight? The best predicted value of this male\'s weight is? . (Round to the nearest whole number as needed.)

Solution

Best regression is y =?199+2.2*HT+2.1*WAIST?0.1*CHOL because its R square 0.873   is larger other R square values.

If a male has a height of?72?in, a waist circumference of?102?cm, and a cholesterol level of?263mg,

The best predicted value of this male\'s weight is

= ?199+2.2*72+2.1*102?0.1*263 = 147.3 pound