The table shows the average weekly wages​ (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is y=1.557x−135.290.   Average Weekly Wages (state), x Average Weekly Wages (federal), y 765 1001 769 1043 784 1105 801 1149 835 1203 881 1247 917 1284 941 1305 Complete parts​ (a) and​ (b) below.   ​(a) Find the coefficient of determination and interpret the result.   r2= ​(Round to three decimal places as​ needed.) How can the coefficient of determination be​ interpreted?   (b) Find the standard error of estimate se and interpret the result.   se= ​(Round to two decimal places as​ needed.) How can the standard error of estimate be​ interpreted?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter4: Linear Functions
Section: Chapter Questions
Problem 28PT: For the following exercises, use Table 4 which shows the percent of unemployed persons 25 years or...
icon
Related questions
icon
Concept explainers
Question

The table shows the average weekly wages​ (in dollars) for state government employees and federal government employees for 8 years. The equation of the regression line is

y=1.557x−135.290.
 
Average Weekly Wages (state), x Average Weekly Wages (federal), y
765 1001
769 1043
784 1105
801 1149
835 1203
881 1247
917 1284
941 1305

Complete parts​ (a) and​ (b) below.

 

​(a) Find the coefficient of determination and interpret the result.
 
r2=
​(Round to three decimal places as​ needed.)
How can the coefficient of determination be​ interpreted?
 
(b) Find the standard error of estimate
se
and interpret the result.
 
se=
​(Round to two decimal places as​ needed.)
How can the standard error of estimate be​ interpreted?
 
 
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning