For example, when you begin an appraisal after selecting the best comps, you have no idea what is influencing price.
And neither does your graph or regression. There's no doubt that you can make conclusions to specific levels confidence but guess what? You never know for sure. I have never seen a regression based on a 100% confidence level.
I'm sure you could build a regression showing that weather conditions at the time of the contract signing have an influence on price as well. Maybe that should be a new line on the comp grid??
And if you don't know for sure, you need to rely on your experience and knowledge of current market conditions.
I think regression is a great tool for supporting conclusions from a
specific perspective but there's no way can prove anything 100% with them. Unfortunately, regression lives side by side with experience in their own little "Artsy-Fartsy" world.
By manipulating the right numbers you can prove anything. Does anyone remember seeing this shortly after 9/11?
The date of the attack: 9/11 - 9 + 1 + 1 = 11
September 11th is the 254th day of the year: 2 + 5 + 4 = 11
After September 11th there are 111 days left to the end of the year.
119 is the area code to Iraq/Iran. 1 + 1 + 9 = 11
Twin Towers - standing side by side, looks like the number 11
The first plane to hit the towers was Flight 11
But ....There's More.......
State of New York - The 11th State added to the Union
New York City - 11 Letters
Afghanistan - 11 Letters
The Pentagon - 11 Letters
Ramzi Yousef - 11 Letters (convicted of orchestrating the attack on the WTC in 1993)
Flight 11 - 92 on board - 9 + 2 = 11
Flight 77 - 65 on board - 6 + 5 = 11
The numbers all add up so there must be something to this right? WRONG!!! It's just a crafty way of manipulating some numbers.
No mathematical model could ever place a number on "Oh Honey!! It's just what I've always wanted!! I've just got to have it!!"
And I still think your graph's are an interesting angle and would like to see one in action.
"Get your facts first, and then you can distort them as much as you please. (Facts are stubborn, but statistics are more pliable.)
Mark Twain (1835 - 1910)"