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Compare your answer in Problem 1, part m) with answer in Problem 2, part k). Is there a difference and why?

Compare your answer in Problem 1, part m) with answer in Problem 2, part k). Is there a difference and 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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  1. Compare your answer in Problem 1, part m) with answer in Problem 2, part k). Is there a difference and why?
k) Compute using a calculator the 95% confidence interval for slope associated with PROP_CHANGE_INCOME based on the model in part b) and interpret it using the words of the problem. 95% Confidence Interval for slope of Proportion of change in Household Income over the past several years: b₁ ± ta Sebi to df=n-25 : -1.91771 +2.021(0.83381) 95% Confidence Interval for slope of Proportion of change in Household Income over the past several years: (-3.60- 0.23) We are 95% confident that for every household that have had a proportion of change in household income over the past several years, the true crime rate will decrease between -3.60 and -0.23.
Transcribed Image Text:k) Compute using a calculator the 95% confidence interval for slope associated with PROP_CHANGE_INCOME based on the model in part b) and interpret it using the words of the problem. 95% Confidence Interval for slope of Proportion of change in Household Income over the past several years: b₁ ± ta Sebi to df=n-25 : -1.91771 +2.021(0.83381) 95% Confidence Interval for slope of Proportion of change in Household Income over the past several years: (-3.60- 0.23) We are 95% confident that for every household that have had a proportion of change in household income over the past several years, the true crime rate will decrease between -3.60 and -0.23.
m) Compute using a calculator the 95% confidence interval for slope associated with PROP_CHANGE_INCOME based on the model in part d) and interpret it using the words of the problem. 95% Confidence Interval for slope: b₁ ±tdf-n-2SEbi b₁ = -1.94182 SEbi = 0.91485 : -1.94182 +2.021(0.91485) 95% Confidence Interval for slope: (-3.79-0.09) We are 95% confident that for every household that have had a proportion of change in household income over the past several years, the true crime rate will decrease between -3.79 and -0.09.
Transcribed Image Text:m) Compute using a calculator the 95% confidence interval for slope associated with PROP_CHANGE_INCOME based on the model in part d) and interpret it using the words of the problem. 95% Confidence Interval for slope: b₁ ±tdf-n-2SEbi b₁ = -1.94182 SEbi = 0.91485 : -1.94182 +2.021(0.91485) 95% Confidence Interval for slope: (-3.79-0.09) We are 95% confident that for every household that have had a proportion of change in household income over the past several years, the true crime rate will decrease between -3.79 and -0.09.
Expert Solution
Step 1

Given

There are 2 95% CI which are as follows:

  1. -3.60 , -0.23
  2. -3.79, -0.09
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