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	0.8327	0.4148	2.06	0.84
Weight	0.39053	0.02978	13.52	0.000
S = 0.517508	R-Sq = 95.2%

(a) Write out the least-squares equation.

=

+  x

(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

a) From the given table, we look at the coefficient table to get the required least square equation here as:

y = 0.8327 + 0.39053x where x is the weight here, that is the independent variable.

This is the required least square equation here.

b) As the slope for independent variable is 0.39053, therefore for a unit kg increase in weight, there is a 0.39053 increase in metabolic rate of a child expected. Therefore 0.39053 is the required expected increase here.

c) The value of correlation coefficient here is computed as:

Therefore 0.9757 is the required correlation coefficient here.