Question

The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr).

Predictor	Coef	SE Coef	T	P
Constant	0.8516	0.4148	2.06	0.84
Weight	0.41294	0.02978	13.52	0.000
S = 0.517508	R-Sq = 96.8%

(a) Write out the least-squares equation.

(b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.)


(c) What is the value of the correlation coefficient r? (Use 3 decimal places.)

Answer 1

let y = metabolic rate of the child.

x = body weight of the child.

a) ŷ = 0.8516 + 0.41294*x

b)  

For each 1 kilogram increase in weight, metabolic rate of a child is expected ro increase by 0.41294.

c) R-Sq = 0.968

Correlation is the square root of R-Sq.

r = 0.984