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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE General & Further Mathematics => Topic started by: mikail596 on November 06, 2011, 11:48:25 am

Title: Residual column sum 0 question - INSIGHT 2009
Post by: mikail596 on November 06, 2011, 11:48:25 am

Ok, this question has me stumped lol.

e. Explain why the sum of the residual column will be close to 0.         /1

Title: Re: Residual column sum 0 question - INSIGHT 2009
Post by: some dude on November 06, 2011, 11:55:34 am

because the aim of a least squares regression line is to minimise the sum of the squares of the residuals ie. closer to zero. therefore the sum of the residual column would be close to zero.

Title: Re: Residual column sum 0 question - INSIGHT 2009
Post by: 99.96 on November 06, 2011, 12:00:11 pm

From the solutions
"The definition of the least squares regression is that the sum of the squares of the residuals is
minimised."

Title: Re: Residual column sum 0 question - INSIGHT 2009
Post by: mikail596 on November 06, 2011, 03:22:02 pm

thankyou :)