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 Constant 0.8381 0.4148 2.06 0.84 Weight 0.40241 0.02978 13.52 0.000 s - 0.517508 R-Sq - 94.28 (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.)

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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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
Constant
0.8381
0.4148
2.06
0.84
Weight
0.40241
0.02978
13.52
0.000
s - 0.517508
R-Sq - 94.28
(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.)
Transcribed Image Text: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 Constant 0.8381 0.4148 2.06 0.84 Weight 0.40241 0.02978 13.52 0.000 s - 0.517508 R-Sq - 94.28 (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.)
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