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日期:2019-05-30 11:05

STAT5002 Introduction to Statistics – Semester 1, 2019

Assignment

Notes and Instructions:

This assignment is structure assessed. It carries a weight of 8% towards your final mark for STAT5002.

You may discuss the questions with others but you must submit your own individual reports with your

own working and words.

Presentation of your assignment is marked.

Show all R code or calculation used to answer the questions in your report.

Do NOT include your name in the assignment.

The report has to be submitted via Turnitin (Canvas) by Friday 31st May at 23:59pm.

If you have issues submitting your report, send your report to [email protected]

You may discuss the questions with others but you must submit your own individual reports with your

own working and words.

Written Report

The written report is based on the Ames Housing data set (AmesHousing.txt, uploaded to Canvas in the

folder AssignmentData along with the description file, DataDocumentation.txt) and should answer the 2

questions below. Show all R code or calculation used to answer the questions in your report. Your report

should be no longer than 5 pages. Presentation of the report is marked.

Problem

Suppose that the Ames Housing data is a representative sample of the houses in Ames.

1. If I select a random household from Ames, estimate the probability that

(a) the selected household has a basement?

(b) the selected household has a pool?

(c) the selected household has a pool and a basement?

2. In this question consider the four variables SalePrice (Y ), Lot.Area (x1), Overall.Qual (x2) and

MS.SubClass (x3).

1

(a) Consider the four simple linear regression model:

By considering some diagnostic plots and the coecient

of determination, r2, explain which of

the four model is the best.

(b) Using only Y , x1, x2 and x3, what is the best (parsimonious) regression model that fits the data?

Explain your conclusion.

(c) Regardless of your answer in (b), consider the following model

i. Write the fitted model for (5).

ii. Are there any outliers under model (5)

iii. You inspect a property with a lot area of 10000 feet2 with and an overall quality rated as

“Excellent” using the same standard of rating in the Ames Housing data. What is your

expected sales price under model (5)?

2


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