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). The data is based on information from The Merck Manual (a commonly used reference in medical schools and nursing programs).

Predictor Coef SE Coef T P Constant 0.8565 0.4148 2.06 0.084 Weight 0.40248 0.02978 13.52 0.000 s 5 0.517508 R-Sq 5 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?

(c) What is the value of the sample correlation coeffi cient r?

(d) Interpretation What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained?

For Problems 7–18, please do the following.

(a) Draw a scatter diagram displaying the data.

(b) Verify the given sums x, y, x2, y2, and xy and the value of the sample correlation coeffi cient r.

(c) Find x, y,

a, and

b. Then fi nd the equation of the least-squares line yˆ 5 a 1 bx.

(d) Graph the least-squares line on your scatter diagram. Be sure to use the point x, y as one of the points on the line.

(e) Interpretation Find the value of the coeffi cient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained?

Answers may vary slightly due to rounding.