Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line.​ (Each pair of variables has a significant​ correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content​ (in milligrams) for 6 beef hot dogs are shown in the table below.   Calories, x    160  170  120  130  90  180 ​ Sodium, y    415  465  340  370  250  510   The equation of the regression line is ŷ =  ______ x + ______ ​(Round the slope to three decimal places as needed. Round the​ y-intercept to two decimal places as​ needed.)    (a) x = 180 calories, (b) x = 100 calories, (c) x = 140 calories, (d) x = 220 calories Use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the​ x-value is not meaningful to predict the value of​ y, explain why not. ​(Round the slope to three decimal places as needed. Round the​ y-intercept to two decimal places as​ needed.)    ​(a) Substitute x = 180 into the regression equation and simplify. ​(b) Substitute x = 100 into the regression equation and simplify. ​(c) Substitute x = 140 into the regression equation and simplify. ​(d) Substitute x = 220 into the regression equation and simplify.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line.​ (Each pair of variables has a significant​ correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The caloric content and the sodium content​ (in milligrams) for 6 beef hot dogs are shown in the table below.

 

Calories, x

 

 160

 170

 120

 130

 90

 180

Sodium, y

 

 415

 465

 340

 370

 250

 510

 

The equation of the regression line is ŷ =  ______ x + ______

​(Round the slope to three decimal places as needed. Round the​ y-intercept to two decimal places as​ needed.)   

(a) x = 180 calories, (b) x = 100 calories, (c) x = 140 calories, (d) x = 220 calories

Use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the​ x-value is not meaningful to predict the value of​ y, explain why not.

​(Round the slope to three decimal places as needed. Round the​ y-intercept to two decimal places as​ needed.)   

​(a) Substitute x = 180 into the regression equation and simplify.

​(b) Substitute x = 100 into the regression equation and simplify.

​(c) Substitute x = 140 into the regression equation and simplify.

​(d) Substitute x = 220 into the regression equation and simplify.

Expert Solution
steps

Step by step

Solved in 3 steps with 6 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman