Listed below are amounts of court income and salaries paid to the town justices for a certain town. All amounts are in thousands of dollars. Find the​ (a) explained​ variation, (b) unexplained​ variation, and​ (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear​ correlation, so it is reasonable to use the regression equation when making predictions. For the prediction​ interval, use a 99​%confidence level with a court income of $800​,000.   Court Income ​$63 ​$410 ​$1556 ​$1123 ​$297 ​$252 ​$105 ​$159 ​$26   Justice Salary ​$25 ​$42 ​$92 ​$54 ​$47 ​$63 ​$25 ​$26 ​$20   a. Find the explained variation. ______________ (Round to three decimal places as​ needed.)   b. Find the unexplained variation. _______________ (Round to three decimal places as​ needed.)   c. Find the indicated prediction interval. $ _____________ < y < $ ____________  (Round to four decimal places as​ needed.)

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

Section 10.3 Question #7

Listed below are amounts of court income and salaries paid to the town justices for a certain town. All amounts are in thousands of dollars. Find the​ (a) explained​ variation, (b) unexplained​ variation, and​ (c) indicated prediction interval. There is sufficient evidence to support a claim of a linear​ correlation, so it is reasonable to use the regression equation when making predictions. For the prediction​ interval, use a 99​%confidence level with a court income of $800​,000.
 
Court Income
​$63
​$410
​$1556
​$1123
​$297
​$252
​$105
​$159
​$26
 
Justice Salary
​$25
​$42
​$92
​$54
​$47
​$63
​$25
​$26
​$20
 
a. Find the explained variation.

______________

(Round to three decimal places as​ needed.)

 

b. Find the unexplained variation.

_______________

(Round to three decimal places as​ needed.)

 

c. Find the indicated prediction interval.

$ _____________ < y < $ ____________ 

(Round to four decimal places as​ needed.)

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Similar 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