Based on the Descriptive Statistcs table below,  1. Use this formula to calculate Adjusted R2 = 1.0 – (Residual MS/Total MS) 2.  What is the intercept coefficient value (b0)? 3. What is the slope coefficient value (b1| in the ANOVA Table and what         does this value mean? 4. Modify the generic wording below to explain the Coefficient of Determination: Positive Coefficient (Direct Relationship) The regression coefficient (XX), or the slope of the linear regression equation, indicates a XX (unit)increase (decrease) in the independent variable (X) is associated with a XX (unit) increase (decrease) in the dependent variable (Y).

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
icon
Concept explainers
Question
100%

Based on the Descriptive Statistcs table below, 

1. Use this formula to calculate Adjusted R2 = 1.0 – (Residual MS/Total MS)

2.  What is the intercept coefficient value (b0)?
3. What is the slope coefficient value (b1| in the ANOVA Table and what         does this value mean?

4. Modify the generic wording below to explain the Coefficient of Determination:

Positive Coefficient (Direct Relationship)

The regression coefficient (XX), or the slope of the linear regression equation, indicates a XX (unit)increase (decrease) in the independent variable (X) is associated with a XX (unit) increase (decrease) in the dependent variable (Y).


                                                                               

SUMMARY OUTPUT
Regression Statistics
Multiple R
0.751621004
R Square
Adjusted R Square
0.564934133
0.559875228
Standard Error
1752.277825
Observations
88
ANOVA
df
MS
Significance F
Regression
1
342883972.2 342883972.2 111.6712185
3.24767E-17
Residual
86
264061071.4 3070477.574
Total
87
606945043.6
Coefficients Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Lower 95.0%
Upper 95.0%
Intercept
Total Population by County (X) I 0.011032293
154.7098341
224.4038798 0.689425844 0.492411362
-291.3903145 600.8099827
-291.3903145 600.8099827
0.001043987 10.56746036
3.24767E-17
0.008956916 0.013107671
0.008956916 0.013107671
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics Multiple R 0.751621004 R Square Adjusted R Square 0.564934133 0.559875228 Standard Error 1752.277825 Observations 88 ANOVA df MS Significance F Regression 1 342883972.2 342883972.2 111.6712185 3.24767E-17 Residual 86 264061071.4 3070477.574 Total 87 606945043.6 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept Total Population by County (X) I 0.011032293 154.7098341 224.4038798 0.689425844 0.492411362 -291.3903145 600.8099827 -291.3903145 600.8099827 0.001043987 10.56746036 3.24767E-17 0.008956916 0.013107671 0.008956916 0.013107671
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
  • 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