- Learning Outcome Apply Matrix Algebra To Summarize And Process Multivariate Data Construct Linear And Logistic Reg 1 (181.28 KiB) Viewed 40 times
Learning outcome: - Apply matrix algebra to summarize and process multivariate data. - Construct linear and logistic regression models to solve business prediction problems. Instructions: (Marks would be deducted if you fail to follow the instructions below.) - In answering the questions of the assignment, show clearly the steps you take in arriving at your solutions for each question. Keep at least four decimal places in the final answer for statistical computations or otherwise specified. - Except Question 5 which require you to utilize R, the rest of the questions must be answered manually. - The soft copy of handwritten or typed answers of Questions 1 to 4 and the analysis report for Question 5 (in Word) must be uploaded to OLE by the due date. The R program of Question 5 must also be uploaded to "Assignment 1−R program". - This is an individual assignment. Copying some or all of another student's assignment or R program is plagiarism. (Note: The assignment will be checked by Turnitin and zero mark will be given to plagiarized works.) Question 1 (8 marks) Let A=[644−1],B=[42−25],C=[2−3−1]′ and D=⎣⎡1−23⎦⎤ Perform the following operations. (a) A−B and A′+B (2 marks) (b) CD′ (2 marks) (c) BA′ (2 marks) (d) ∣∣A−1∣∣∣∣B−1∣∣ (2 marks) Question 2 (10 marks) Solve the following system of equations by Matrix method: X1+2X2−3X3=52X1+X2−4X3=7X1+X2+X3=10 (Note: zero mark will be given for non-matrix method.) Question 3 (10 marks) Let E=[−2635]. Determine the eigenvalues and normalized eigenvectors of E.