Hello, I am a first year undergraduate university student majoring in Engineering and Computing Sc. One of my courses is Linear Algebra. We have been given an assignment in which question no. 2 is out of syllabus. It is on Least Squares Regression Analysis. This has not been taught to us. We (all the students doing this course) have no idea what it is or how to solve problems relating to it. Others have given up and are just doing the rest of the assignment. I would appreciate it if someone is willing to explain it to me in simpler terms than what I find around on other maths related articles. Perhaps at a level which is sufficient to solve the given problem. 1. The problem statement, all variables and given/known data The whole assignment is attached. This discussion is on question no. 2 which is on page 2 and continues to page 3. The dataset for the problem is also attached as 'exercise.xls'. 2. Relevant equations No Idea 3. The attempt at a solution I tried reading about the topic online on Wikipedia and Wolfram mathematics but both sources explain it at a level beyond my understanding. What I've managed to figure out is that LSRA is a method to fit a straight line through a set of data points which are not collinear. Uptil now we have been doing this using the approximate best fit line method i.e. just making a line which seems best fit on paper. I have now realised that there is actually a scientific and analytical method of doing it. Interesting.