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1STAT 359/563 (Spring 2018)Final examination: Part 1Name:Student ID:Due:1:00pm, April 19(DTB A439)Instructions:1. Data analysis can be done in software R on a computer.2. There are 2 questions in Part 1 of final examination. For each question, writeout your solution carefully and completely. Marks will be deducted for incompleteor poorly presented solutions.Question12TotalMarks
STAT 359/56321.(15 marks) An experiment was performed to study the relationship between aresponse variableYand three independent variables,x1, x2andx3. The data setis given in “FinalData1.csv” (CourseSpace).Find a model that “best” describesthe relationship betweenYand the three independent variables.Start with thefollowing model including all the interactions amongx1, x2andx3,lm(Y∼x1*x2*x3)and search for the best model. Write a report for the analysis, including the summarystatistics of the data set, pairwise scatter plots forY,x1, x2andx3, the best fittedmodel, residual analysis for the best model, and R codes.2.(10 marks) A psychologist studied the nature of the relation, if any, between an