MAT3024 Research Assignment on Regression Analysis

 

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Assignment Details:-

  • Course Code: MAT3024
  • Course Title: Regression Analysis
  • Referencing Styles: Open
  • Words: 1500
  • University: Sunway University
  • Country: MY

 

Assignment Task:-

 

A social researcher is interested in the relationship between income and happiness. A survey involving 498 people whose income ranges from $15k to $75k, and ranking of their happiness on a scale from 1 to 10, has been collected. The average income is $44,669.02.A simple linear regression model has been fitted to the dataset. School of Mathematical SciencesMAT3024/ August 2020Page 1of 12Question 1 A social researcher is interested in the relationship between income and happiness. A survey involving 498 people whose income ranges from $15k to $75k, and ranking of their happiness on a scale from 1 to 10, has been collected. The average income is $44,669.02.A simple linear regression model has been fitted to the dataset. The results of the regression analysis (income in $’000) are shown below.

(a)Identify the dependent variable and independent variables in this case.

(b)State the fitted model.

(c)Perform a hypothesis testing to see if there is a linear relationship between income and happiness.

(d)Find a 95% CI on the mean happiness if the income is $45k and the sum of squares of axis 150044.4.

(e)Suppose we wish to predict the happiness of a person given that his income is $45k. Give a point estimate of happiness. Find a 95% prediction interval on the happiness.

(f) Compare and explain the difference between the two intervals obtained in parts (d) and (e).

 

 

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