31 Jan Question 2. Write a short essay exp
Statistics And R Programming Paper
Discuss two or more of the following questions, in your own words. You may choose to address two, three, or even all questions but should target 3-4 pages of text in total (not counting figures, tables, and references). Upload your answers to the final section of the class
Moodle page as a single narrative document in pdf format. You may, and are encouraged to, illustrate your answers using R, but that’s no substitute for lucid natural language explanations.
To preserve the natural flow of the narrative, figures and tables should be embedded into the document near their first mention. Any supplementary files like code or data should be referenced in the text and separately uploaded. You may use books, articles, notes, search engines, or computers, but may not solicit or receive direct assistance from other human beings. Cite sources if you use them.
For the first three questions you may want to illustrate technical detail using R, discuss practical aspects that are important for applications, and theoretical aspects of the subject.
Question 1. Construct a dataset with at least 8 observations and 3 variables (y, x1, and x2) such least squares linear regression of y versus x1 produces y = 2×1 + e1 and regressing y versus x1 and x2 produces y = -2×1 + x2 + e2. How might you interpret the relationship between y and x1? Show your work in R.
Question 2. Write a short essay explaining the p-value and show to calculate it on a dataset of your choice. Show your work in R.
Question 3. Write a short essay explaining the four assumptions of linear regression and show how to test them on a dataset of your choice. Show your work in R.
Question 4. Write a short essay on the subject of Bayes theorem and illustrate its use in an application of y
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