Least Squares Regression Analysis - No Idea

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A first-year undergraduate student in Engineering and Computing is struggling with a Linear Algebra assignment that includes a question on Least Squares Regression Analysis (LSRA), which has not been covered in their course. The student expresses frustration as they and their classmates lack understanding of the topic and have resorted to skipping the question. After extensive reading, the student realizes that LSRA is a systematic method for fitting a line through non-collinear data points, contrasting with their previous experience of estimating best fit lines. Ultimately, the student manages to comprehend the question and solve it, expressing gratitude for the learning experience. The discussion highlights the challenges faced by students when encountering unfamiliar topics in their coursework.
skullers_ab
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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.

Homework Statement



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'.


Homework Equations


No Idea


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 realized that there is actually a scientific and analytical method of doing it. Interesting.
 

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Ok never mind. I've managed to figure out (after a LOT of reading) what the question is asking and have solved it.

Have appreciated PF and always will.

Cheers
 

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