Interpret the intercept if appropriate. If not, argue why
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Interpret the intercept if appropriate. If not, argue why.

Transcribed Image Text:Estimated model:CRIME_RATE=
1.94182(Proportion
0.56185(Proportion
97.23184 -
of change in Household income over the past several years) +
of free school lunch participation)
c) Test the significance of the model estimated in part b) using an omnibus F-test. Don't forget to specify the null and
alternative hypothesis, test statistic, degrees of freedom, p-value, decision and conclusion in the words of the
problem. Use a 5% level of significance. Only attach the appropriate SAS table.
Ho: B₁ B₂ = = 0 vs. H₁: not Ho
α= 0.05
Based on the output:
Fobserved = 7.19
FCritical 3.24 for F distribution with a df₁ = 2, df₂=n-2 -1 =38
Since Fobserved > Fcritical, we reject Ho
The data provided enough evidence to reject Ho. The data support the hypothesis that the model estimated in part b)
is significant on the level of significance 5%.
d) What is the Coefficient of Determination for your model estimated in part b) and what is its interpretation? Use
words of the problem. Only attach the appropriate SAS table.
From regression output: r² = 0.2745
The Coefficient of Determination for the model estimated in part b) is 0.2745. The Coefficient of Determination
tells us that a variation of 27.45 % in the crime rate is explained by the proportion of change in household income
over the past several years and the proportion of free school lunch participation.
Expert Solution

Step 1
Dependent variable (y) = Crime rate
Independent variables = Prop. of change in household income over the past several years (x1) and
Prop. of free school lunch participation (x2)
Interpret the value of the intercept.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman