Question

The following Minitab display gives information regarding the relationship between the body weight of a child...

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 0.8435 0.4148 2.06 0.84
Weight 0.41456 0.02978 13.52 0.000
S = 0.517508 R-Sq = 97.6%

(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? (Use 5 decimal places.)


(c) What is the value of the correlation coefficient r? (Use 3 decimal places.)

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The following Minitab display gives information regarding the relationship between the body weight of a child...
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 0.8489 0.4148 2.06 0.84 Weight 0.39161 0.02978 13.52 0.000 S = 0.517508 R-Sq = 94.6% (a) Write out the least-squares equation. y hat = + x (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child...
The following Minitab display gives information regarding the relationship between the body weight of a child...
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 0.8327 0.4148 2.06 0.84 Weight 0.39053 0.02978 13.52 0.000 S = 0.517508 R-Sq = 95.2% (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? (Use 5...
4) The correlation coefficient r is a sample statistic. What does it tell us about the...
4) The correlation coefficient r is a sample statistic. What does it tell us about the value of the population correlation coefficient ρ (Greek letter rho)? You do not know how to build the formal structure of hypothesis tests of ρ yet. However, there is a quick way to determine if the sample evidence based on ρ is strong enough to conclude that there is some population correlation between the variables. In other words, we can use the value of...
Study the following Minitab output from a regression analysis to predict y from x. a. What...
Study the following Minitab output from a regression analysis to predict y from x. a. What is the equation of the regression model? b. What is the meaning of the coefficient of x? c. What is the result of the test of the slope of the regression model? Let α = .10.Why is the t ratio negative? d. Comment on r2 and the standard error of the estimate. e. Comment on the relationship of the F value to the t...
12.4 Study the following Minitab output from a regression analysis to predict y from x. a....
12.4 Study the following Minitab output from a regression analysis to predict y from x. a. What is the equation of the regression model? b. What is the meaning of the coefficient of x? c. What is the result of the test of the slope of the regression model? Let α = .10.Why is the t ratio negative? d. Comment on r2 and the standard error of the estimate. e. Comment on the relationship of the F value to the...
We use the form y hat = a + bx for the least-squares line. In some...
We use the form y hat = a + bx for the least-squares line. In some computer printouts, the least-squares equation is not given directly. Instead, the value of the constant a is given, and the coefficient b of the explanatory or predictor variable is displayed. Sometimes a is referred to as the constant, and sometimes as the intercept. Data from Climatology Report No. 77-3 of the Department of Atmospheric Science, Colorado State University, showed the following relationship between elevation...
A number of studies have shown lichens (certain plants composed of an alga and a fungus)...
A number of studies have shown lichens (certain plants composed of an alga and a fungus) to be excellent bioindicators of air pollution. An article gives the following data (read from a graph) on x = NO3− wet deposition (g N/m2) and y = lichen (% dry weight): x 0.05 0.10 0.11 0.12 0.31 0.37 0.42 0.58 0.68 0.68 0.73 0.85 0.92 y 0.44 0.53 0.53 0.50 0.56 0.55 1.03 0.82 0.86 0.98 0.89 1.01 1.68 The regression equation is...
For a sample of 116 college students, the relationship between the reported hours of sleep during...
For a sample of 116 college students, the relationship between the reported hours of sleep during the previous 24 hours and the reported hours of study during the same period was studied. Data for y = hours of sleep the previous day and x = hours of studying the previous day for n = 116 college students were computed. Some regression results for those data are shown in the following table. Regression output Predictor Coef SE Coef T P Constant...
Consider the following data on x = rainfall volume (m3) and y = runoff volume (m3)...
Consider the following data on x = rainfall volume (m3) and y = runoff volume (m3) for a particular location. x 5 12 14 16 23 30 40 47 55 67 72 83 96 112 127 y 4 10 13 14 15 25 27 45 38 46 53 67 82 99 105 Use the accompanying Minitab output to decide whether there is a useful linear relationship between rainfall and runoff. The regression equation is runoff = -1.82 + 0.839 rainfall...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT