Consider the following data: x −4 −3 −2 −1 0 P(X=x) 0.1 0.1 0.1 0.3 0.4   Find the expected value E(X). Round your answer to one decimal place.

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 Сoef SE Coef T Constant 0.8462 0.4148 2.06 0.84 Weight 0.39917 0.02978 13.52 0.000 S = 0.517508 R-Sq = 94.4% (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.)

Send data to Excel Observed frequency fo Expected frequency ƒE 2 (fo-fe) ƒE Winter Spring Summer 35 1 ☐ 23 37.50 5.607 44 37.50 Fall 48 П 1.127 1 Total 150 X

How do I solve for b?

Calculate the relative frequency P(E) using the given information. Six hundred adults are polled, and 480 of them support universal health-care coverage. E is the event that an adult supports universal health-care coverage. HINT [See Example 1.] P(E) = =

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 0.8651 0.4148 2.06 0.84 Weight 0.40619 0.02978 13.52 0.000 S = 0.517508 R-Sq = 97.0%       (a) Write out the least-squares equation. y =  +  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.)