help interpreting regression results with dummy variables

largeselection

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Joined
Aug 4, 2008
Messages
358
So I ran a regression on different "type" scenarios and got the following. I see that the R-Square is not a great fit (<95%) but I was hoping I might be able to use this regression to figure out some relationships and make some determinations about which "Type" would yield the best results. In the results the coefficient for "Type F" is this highest, so would I interpret that to mean that if an observation is of Type F then it could be expected to have the highest results? The only weird thing is that when I pivot the original data on type and results, "Type F" does not have the highest Sum of the Types, nor does it have the highest average. So why would the regression put that type as having the strongest positive relationship?

Sorry if I'm being confusing, but I don't have so much experience with regressing in excel (and almost no experience using dummy variables).

Thanks for any help, links, etc to help me understand this better.

Excel Workbook
ABCDEFGHI
3Regression Statistics
4Multiple R0.883330456
5R Square0.780272694
6Adjusted R Square0.776373937
7Standard Error179.6441043
8Observations659
9
10ANOVA
11dfSSMSFSignificance F
12Regression874605235.279325654.408288.97041382.4365E-208
13Residual65121009074.7332272.0042
14Total65995614310
15
16CoefficientsStandard Errort StatP-valueLower 95%Upper 95%Lower 95.0%Upper 95.0%
17Intercept0#N/A#N/A#N/A#N/A#N/A#N/A#N/A
18Type A216.879518119.7185021710.998782586.3098E-26178.1599782255.5990579178.1599782255.5990579
19Type B370.184782618.7291925719.765122351.80984E-68333.4078656406.9616996333.4078656406.9616996
20Type C363.566666718.9361512619.199607231.94085E-65326.3833625400.7499708326.3833625400.7499708
21Type D316.224137923.5884265213.405902162.30919E-36269.9055579362.542718269.9055579362.542718
22Type E308.920454519.1501258616.13151041.68984E-49271.3169867346.5239223271.3169867346.5239223
23Type F439.808080818.0549118124.35946991.16961E-93404.3551914475.2609702404.3551914475.2609702
24Type G275.297872318.5288745914.857776223.26397E-43238.9143026311.681442238.9143026311.681442
25Type H322.654545524.2232060813.320059475.70907E-36275.089503370.2195879275.089503370.2195879
Sheet15
 

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I believe that is not the right forum to ask these type of questions.
As far as I remember statistics, you equation is meaningless. All the coefficients are insignificant according to p-values, and the equation itself is also insignificant according to F-stat.
 
Upvote 0
Ok, I thought I had seen some other questions similar to this on this forum at some point since it was regarding the regression function in excel. I will look for a statistics forum to post in as well. I also believe the opposite is true of what you posted regarding P-values and F-statistics. Since lower p-values indicates a lower chance of obtaining that result (which would be the null hypothesis). So we would reject the null (which is that there is no statistical significance between the two) and accept that there is below 0.05 or some such. This is the same case for the F-statistics I believe.

Haha, again I'm trying to remember statistics like you are too.

Thanks for your input.
 
Upvote 0
You are right! I have just checked, the lower the p-value and F-stat value the better.
 
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