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STAT 331 Spring 2017Assignment 2IMPORTANT:- There are no extensions so late assignments will not be accepted (see course outline)- You should write this assignment in your own words. Note that Cheating and Plagiarism(i.e., submitting part or all of someone elses words or work as your own) are consideredacademic offenses and will be addressed accordingly.FORMATTING GUIDELINES:(a) You can type your solutionsFont: 12pt Times New Roman, single spacingMargins: 0.8 inches (2 cm) minimum margin on all sides.File format: .pdf(b) Or you can scan your solutions (hand written)Notes:(1) Answer the questions in order(2) User R for questions 2 and 3.(3) Please submit all the solutions using one file ( .doc, .docx or .pdf)SUBMISSION INSTRUCTIONS:Submit the assignment online through Learn. Double check the submission by viewing yoursubmission and downloading the file to make sure it works.We suggest submitting theassignment at least a day before the deadline to avoid any technical issues that may arise.Hardcopies will not be accepted.Assignment 1 Marking RubricQuestionOut of110210310Total30marks :/100 Final mark:/5Good Luck!1
1.(a) Consider some data for deformation (in mm),yi, of 3 different types of alloy,under different loads (in kg),xi. When there is no load, there is no deformation,and the deformation is expected to vary linearly with load, in exactly the sameway for all three alloys. However, as the load increases the three alloys deviatefrom this ideal linear behaviour in slightly different ways, with the relationshipbecoming slightly curved (possibly suggesting quadratic terms).The loads areknown very precisely, so errors inxi’s can by ignored, whereas the deformations,yiare subject to larger measurement errors, that do need to be taken into account.Define a linear model suitable for describing these data, assuming that the same6 loads are applied to each alloy, and write it out in the formy=Xβ+ .