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If you weight each probability by the number of data points it represents, the graphs should be the same.<br />
<br />
But averaging the data and adjusting the weights would actually be the wrong<br />
thing to do since it masks the significant scatter in the measurements.<br />
<br />
The correlation coefficient (goodness of fit) in the averaging case will be unjustifiably high.
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If you weight each probability by the number of data points it represents, the graphs should be the same.

But averaging the data and adjusting the weights would actually be the wrong
thing to do since it masks the significant scatter in the measurements.

The correlation coefficient (goodness of fit) in the averaging case will be unjustifiably high.

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Hi experts,<br />
<br />
Please take a look at the attached Excel worksheet.<br />
<br />
The two data sets and accompanying graphs represent the same findings. The y values are encoded as yes/No (1/0) in the first data set and as observed probability in the second data set.<br />
<br />
The Intercept and slope is displayed on each graph and you will notice they are different.<br />
<br />
Why are they different and what graph is the more accurate?<br />
<br />
Thanks.<br />
<br />
&nbsp;<a href="https://filedb.experts-exchange.com/incoming/2014/08_w33/865510/EasyLogit.xls" target="_blank" class="file-inline" title="EasyLogit.xls (19 KB)"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><path d="M67.508 468.467c-58.005-58.013-58.016-151.92 0-209.943l225.011-225.04c44.643-44.645 117.279-44.645 161.92 0 44.743 44.749 44.753 117.186 0 161.944l-189.465 189.49c-31.41 31.413-82.518 31.412-113.926.001-31.479-31.482-31.49-82.453 0-113.944L311.51 110.491c4.687-4.687 12.286-4.687 16.972 0l16.967 16.971c4.685 4.686 4.685 12.283 0 16.969L184.983 304.917c-12.724 12.724-12.73 33.328 0 46.058 12.696 12.697 33.356 12.699 46.054-.001l189.465-189.489c25.987-25.989 25.994-68.06.001-94.056-25.931-25.934-68.119-25.932-94.049 0l-225.01 225.039c-39.249 39.252-39.258 102.795-.001 142.057 39.285 39.29 102.885 39.287 142.162-.028A739446.174 739446.174 0 0 1 439.497 238.49c4.686-4.687 12.282-4.684 16.969.004l16.967 16.971c4.685 4.686 4.689 12.279.004 16.965a755654.128 755654.128 0 0 0-195.881 195.996c-58.034 58.092-152.004 58.093-210.048.041z"/></svg>EasyLogit.xls</a>
</div>
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EasyLogit.xls

Hi experts,

Please take a look at the attached Excel worksheet.

The two data sets and accompanying graphs represent the same findings. The y values are encoded as yes/No (1/0) in the first data set and as observed probability in the second data set.

The Intercept and slope is displayed on each graph and you will notice they are different.

Why are they different and what graph is the more accurate?

Thanks.

 

Which regression is more accurate

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Math / Science

Microsoft Excel topics include formulas, formatting, VBA macros and user-defined functions, and everything else related to the spreadsheet user interface, including error messages.