
Math General Math Forum  For general math related discussion and news 
 LinkBack  Thread Tools  Display Modes 
March 20th, 2017, 06:03 PM  #1 
Newbie Joined: Nov 2016 From: England Posts: 2 Thanks: 0  Method of Least Squares
Hi, I've attached the question and my worked solution. I am confident I have the correct least squares straight line of best fit to the data to 2 d.p., but I'm unsure what is being asked in the next part. Am I to sub the xi values into the least squares straight line of best fit to acquire yi estimates? And if so, I know there will be variation. How would you explain the accuracy of such variation? 
March 29th, 2017, 09:10 PM  #2 
Newbie Joined: Nov 2013 Posts: 25 Thanks: 1 
Was this for some class?

March 29th, 2017, 10:16 PM  #3 
Senior Member Joined: Jul 2008 From: Western Canada Posts: 2,262 Thanks: 30 
The parameters that you calculated for your regression line look correct. Yes, that's how I understand the question. Not sure what they want you to comment on exactly. Sometimes, the data will fit the regression line very closely, and sometimes it won't. I'm not sure there's much more that you can say. If there were some outliers, you could comment on that, but I don't see any. 
March 29th, 2017, 10:20 PM  #4 
Senior Member Joined: Sep 2015 From: CA Posts: 1,106 Thanks: 578 
you've estimated a linear model given this data. $y(x) = 8.71x + 31.91$ for each $x_i$ find $y(x_i) = 8.71x_i + 31.91$ Plot these points in one color and your actual data points in another. You'll find the data isn't particularly linear in this case. 
April 2nd, 2017, 04:08 PM  #5 
Senior Member Joined: Oct 2013 From: New York, USA Posts: 502 Thanks: 74  In order to provide as much help to ChrisHughes as possible, we need to know if he has studied regression that isn't linear.


Tags 
method, squares 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
sum of two squares????  smslca  Number Theory  3  April 7th, 2011 04:43 PM 
Validity of Least Squares Method  elektron1999  Applied Math  1  November 20th, 2010 02:06 PM 
LeastSquares Method  elektron1999  Linear Algebra  0  November 20th, 2010 01:03 PM 
squares  WillingSponge  Number Theory  5  July 9th, 2010 06:52 AM 
program for method of least squares and GJ  skully_888  Applied Math  0  March 19th, 2007 11:33 PM 