Research:Broomstick/Archive 1

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This is the old data before the code to map adventuring.direction to broomstick slots was changed/fixed.

See also

Research

I've fitted a curve to the table originally given and extrapolated the values for 21-23 slots.

The equation is:

Bonus = 1.664 exp(0.240 * slots) + 67

This is accurate to +/- 4 over the known table.

If anyone could verify the bonuses needed for 21-23, that would be great! --Chat 10:07, 27 June 2009 (UTC)

Old table of experimental results

Ad.di
bonus
Broom
slots
54 12
75 12
88 12
104 13
110 13
115 14
119 14
120 14
125 14
127 15
128 15
129 15
130 15
132 15
133 15
135 15
136 15
137 15
139 15
140 15
141 15
142 15
143 15
145 15
146 16
148 16
149 16
150 16
151 16
152 16
153 16
154 16
155 16
156 16
157 16
158 16
159 16
160 16
161 17
162 17
163 17
164 17
172 17
177 17
179 17
187 17
191 18
193 18
196 18
207 18
209 18
212 18
214 18
218 18
222 18
223 18
224 18
225 18
226 19
227 19
228 19
230 19
232 19
234 19
236 19
237 19
240 19
241 19
242 19
244 19
245 19
246 19
247 19
248 19
249 19
252 19
253 19
254 19
256 19
264 19
266 20
273 20
274 20
275 20
281 20
294 20
299 20
304 20
310 21
314 21
320 21
321 21
323 21
325 21
328 21
330 21
333 21
337 21
342 21
343 21
344 21
348 21
349 21
351 21
353 21
354 21
355 21
357 22
358 22
360 22
361 22
362 22
363 22
365 22
366 22
367 22
370 22
371 22
372 22
374 22
375 22
376 22
377 22
379 22
380 22
381 22
382 22
383 22
384 22
385 22
387 22
389 22
390 22
392 22
393 22
395 22
396 22
398 22
399 22
400 22
401 22
402 22
403 22
404 22
405 22
406 22
409 22
411 23
412 23
413 23
415 23
416 23
417 23
419 23
420 23
469 23

(Data changed, need to recheck formulas.)

Derived formula

Above data is fit by:
 slots = floor(0.6 * sqrt(bonus - 125) + 12.875)
--Chat 20:55, 8 April 2010 (UTC)
Therefore the formula to calculate the bonus for a slot would be:
bonus = ceiling( power( (slots - 12.875)/0.6, 2 ) + 125 )


Calculated table

This formula gives the following table:

Broom slots Adventuring.direction bonus
13 126
14 129
15 138
16 153
17 173
18 198
19 230
20 267
21 309
22 357
23 410
24 469
25 534
26 604
27 680
28 761
29 848
30 940

Frazyl 06:31, 9 April 2010 (UTC)


Discussion about results

This is very anecdotal, but I do seem to remember that my lost research (when my bonus was lower) did say that slot 18 was indeed 198 and slot 20 at 267 feels right too. Anyone object to putting this new table in the page? Frazyl 06:39, 9 April 2010 (UTC)

I just noticed that my edit for 19 slots with 226 bonus got changed on 10/04. I had originally put it in after I had received my additional slot. Is there a reason not to put it back in? --Gunde 18:29, 2 July 2010 (UTC)

Many slots in the old versions were proven incorrect.
The new data was taken from a formula that fitted experimental data I collected by wearing stat items, getting stat loss from eating thousand eggs, etc. Unfortunately it is very difficult for me to get my bonus in the 200 to narrow it down.
If you want to improve the reliability of the values then you can contribute as many bonus-slot pairs as possible especially around the slot change included in the table above so we can work out another formula.
Did you check the slots for 224, 225, 226, 227, 228 bonus? Just one bonus doesn't help as much, seems to show something is wrong though.
One easy way to get more bonus data is to eat a hundred year old egg, then check ad.dir/slot several times mixing with other stat modifiers as you get -1 dex, then -2 dex, etc.
Using stat items like dex gloves, bronze helm, flat cap (alone and together, the order worn changes the result) as well as int tea, mocking yourself and other stuff allows you more variation of bonus at each step.
--Frazyl 01:50, 3 July 2010 (UTC)
Ok I added some more bonuses in the table, if you can confirm a few more bonuses we might be able to try another formula --Frazyl 02:46, 3 July 2010 (UTC)
I just know that Andschana has permanently 19 slots on her broom since she hit 226 bonus, she is now at 253. I added a few more values to pad out the ranges. --Gunde 10:33, 3 July 2010 (UTC)

Finally ticked my bonus over to 469 - no 24th slot. Formula's still off somewhere...I'll input it when I finally get the new slot. Could be a while...direction tms have finally slowed down. --Kate