The following Minitab display gives information regarding the relationship betwe

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).

(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.)

Predictor Coef SE Coef T P Constant 0.8408 0.4148 2.06 0.84 Weight 0.39539 0.02978 13.52 0.000 S = 0.517508 R-Sq = 97.6%

Explanation / Answer

(A) From the given table, least square equation is

ycap = 0.8408 + 0.39539*x

(B) For each 1 kg increase in weight, 0.39539 will be the increase in metabolic rate of a child

(C) Correlation coefficient = sqrt(0.976) = 0.988

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