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1. Data from the US Federal Reserve Board (2002) on the percentage of disposable personal income required to meet consumer load payments and mortgage payments for selected years are found in the data below debt <- read.csv("https://www.siue.edu/~jpailde/debt.csv") debt i) Construct a scatterplot with a simple regression for this data set. ii) Check the error model assumption visually by constructing a residual plot and QQplot of the residuals. Interpret what you see. iii) Estimate the population regression slope by constructing 95% confidence interval. Give a brief interpretation of the esimated slope in the context of the problem. iv) Perform a hypothesis test on the regression slope, use a 5\% level of significance. Given an appropriate conclusion.

1. Data from the US Federal Reserve Board (2002) on the percentage of disposable personal income required to meet consumer load payments and mortgage payments for selected years are found in the data below debt <- read.csv("https://www.siue.edu/~jpailde/debt.csv") debt i) Construct a scatterplot with a simple regression for this data set. ii) Check the error model assumption visually by constructing a residual plot and QQplot of the residuals. Interpret what you see. iii) Estimate the population regression slope by constructing 95% confidence interval. Give a brief interpretation of the esimated slope in the context of the problem. iv) Perform a hypothesis test on the regression slope, use a 5\% level of significance. Given an appropriate conclusion.

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. Data from the US Federal Reserve Board (2002) on the percentage of disposable personal income required to meet consumer load payments and mortgage payments for selected years are found in the data below debt <- read.csv("https://www.siue.edu/~jpailde/debt.csv") debt i) Construct a scatterplot with a simple regression for this data set. ii) Check the error model assumption visually by constructing a residual plot and QQplot of the residuals. Interpret what you see. iii) Estimate the population regression slope by constructing 95% confidence interval. Give a brief interpretation of the esimated slope in the context of the problem. iv) Perform a hypothesis test on the regression slope, use a 5\% level of significance. Given an appropriate conclusion.
Transcribed Image Text:1. Data from the US Federal Reserve Board (2002) on the percentage of disposable personal income required to meet consumer load payments and mortgage payments for selected years are found in the data below debt <- read.csv("https://www.siue.edu/~jpailde/debt.csv") debt i) Construct a scatterplot with a simple regression for this data set. ii) Check the error model assumption visually by constructing a residual plot and QQplot of the residuals. Interpret what you see. iii) Estimate the population regression slope by constructing 95% confidence interval. Give a brief interpretation of the esimated slope in the context of the problem. iv) Perform a hypothesis test on the regression slope, use a 5\% level of significance. Given an appropriate conclusion.
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