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Interpret the intercept if appropriate. If not, argue why

Interpret the intercept if appropriate. If not, argue why

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

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.
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.

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