Question
We use the form= a + bx for the least-squares line. In some computer printouts, the least-squares equation is not given directly. Instead, the value
We use the form=a+bxfor the least-squares line. In some computer printouts, the least-squares equation is not given directly. Instead, the value of the constantais given, and the coefficientbof the explanatory or predictor variable is displayed. Sometimesais referred to as the constant, and sometimes as the intercept. 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 | 0.8474 | 0.4114 | 2.06 | 0.084 | ||||
Weight | 0.38857 | 0.02874 | 13.52 | 0.000 | ||||
S = 0.517508 | R-Sq = 96.8% |
(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? kcal/24 hr (c) What is the value of the correlation coefficientr? (Round your answer to three decimal places.) r=
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