Tool Fest Fathom

Whiteboard


No. Message
1
Annie, 12:39 (14.06): joins the room
2
Annie, 12:41 (14.06): leaves the room
3
Annie, 12:30 (15.06): joins the room
4
Annie, 12:43 (15.06): leaves the room
5
gerirose, 14:09 (15.06): joins the room
6
 Bill, 14:39 (15.06): joins the room
7
  cynthia, 14:41 (15.06): joins the room
8
  cynthia, 14:44 (15.06): Hello,
9
 Bill, 14:41 (15.06): Hi. Not ready to chat yet. Soon. 
10
   Beth, 14:49 (15.06): joins the room
11
gerirose, 14:52 (15.06): I'm just lurking since I didn't do my homework. I just wanted to say hi to Bill.   
12
 Bill, 14:47 (15.06): Hi Geri!  
13
   Beth, 14:56 (15.06): Hello everyone. I will be joining you for this session. hi Geri, Cynthia and Bill
14
gerirose, 14:54 (15.06): Hi Beth! Warming up for your trip to Fathom Summer School?   
15
 Bill, 14:48 (15.06): You've still got 10 minutes! And it doesn't take that long to do! @: Message 11: To whole message  
16
   Beth, 14:57 (15.06): I can not wait!!!
17
gerirose, 14:55 (15.06): I'll be out there at the end of your week.   
18
 Bill, 14:49 (15.06): Can you share what you found with Excel? @:   
19
  cynthia, 14:56 (15.06): Should I start a new textbox to answer questions? @: Message 11: To whole message 
20
 Bill, 14:50 (15.06): Use the text box to share your writeup.  
21
 Bill, 14:51 (15.06): Use messages to respond to questions.  
22
 Bill, 14:52 (15.06): Cynthia, is this yours? If so, can we erase it to make room for writeups? @:   
23
  cynthia, 14:59 (15.06): Oh, well I was going to write up what I got using Excel, shall I not do that? 
24
    Bethany, 14:56 (15.06): joins the room
25
 Bill, 14:53 (15.06): No, please do! And it will go nicely in your text box. @: Message 23: To whole message   
26
     Johann, 14:58 (15.06): joins the room
27
    Bethany, 15:01 (15.06): Greetings everyone. I almost missed out, using the chat from yesterday wondering where everybody was! 
28
 Bill, 14:55 (15.06): Was this using Fathom's model tool or a scatterplot with regression line? @:     
29
   Beth, 15:04 (15.06): the least squares line from Fathom @:   
30
   Beth, 15:05 (15.06): with all the data  
31
    Bethany, 15:03 (15.06): Here is my response to the question 
32
  cynthia, 15:04 (15.06): Now I'm having trouble typing in that textbox   
33
    Bethany, 15:04 (15.06): hmm, that didn't work like I thought it would. @: Message 31: To whole message 
34
    Bethany, 15:04 (15.06): I meant to point over to the white board 
35
 Bill, 14:58 (15.06): Looks like your figured it out! @: Message 33: To whole message    
36
 Bill, 14:59 (15.06): To point, you have to first "draw" a reference rectangle with Reference tool. @: Message 34: To whole message    
37
     Johann, 15:06 (15.06): Hi, Bill. I am here to help you with any technical questions about ConcertChat if you need @: Message 36: To whole message
38
    Bethany, 15:06 (15.06): like so? @:  
39
 Bill, 15:00 (15.06): Yup. @: Message 38: To whole message    
40
 Bill, 15:00 (15.06): Excellent. I'll leave those to you, then. @: Message 37: To whole message    
41
  cynthia, 15:07 (15.06): Johann, I have a question. I can't get back into the textbox that I started. Does it close or do I ned to do something different?   
42
      Gene, 15:05 (15.06): joins the room
43
   Beth, 15:10 (15.06): WOW. I like the Add Filter command. Bethany did you paste the January months in another list? then teh same for the CO2 levels for January?   
44
     Johann, 15:08 (15.06): Which textbox is that, Cynthia. Can you create a reference to it? @: Message 41: To whole message 
45
  cynthia, 15:08 (15.06): the "I am a novice" one    
46
    Bethany, 15:08 (15.06): No, I didn't paste into another list Beth. I just added the filter and graphed.  
47
 Bill, 15:03 (15.06): Did you find that these varied from one to the next? @:      
48
  cynthia, 15:09 (15.06): Great thanks    
49
     Johann, 15:09 (15.06): I see. I think it was just a matter of the background color, Cynthia. Try it not that I made it green. @: Message 45: To whole message 
50
gerirose, 15:07 (15.06): leaves the room      
51
Bill, 15:05 (15.06): And, did you get a different answer? @:      
52
     Gene, 15:11 (15.06): Hiya, Bill, and thanks for coming. Here's a photo of Mona Loa. Does this excuse my not doing my homework? (I have a new project with 4 Swarthmore students (you can imagine how that must be...)
53
Bill, 15:06 (15.06): Is this really Mauna Loa? If so, the observatory must be one heck of a place? @:      
54
Bill, 15:07 (15.06): Johann, Can we keep adding stuff at the bottom or do we have to erase?     
55
     Gene, 15:13 (15.06): Got it from the web, Bill, must be true.
56
Bill, 15:07 (15.06): Like the whales in Lake Michigan? @: Message 55: To whole message     
57
Bill, 15:09 (15.06): The next thing I would like to do is to have people make screen captures of some of there Fathom work to share with us. But we'll have to hope Johann can tell us how to get more whiteboard space.     
58
    Johann, 15:16 (15.06): Well, there is a creative way of doing that. Bascially we will have to rearrange some of the objects we have so as to make space. Do you want me to do that? @: Message 57: more whiteboard space. 
59
Bill, 15:10 (15.06): Sure, give it a try. @: Message 58: To whole message     
60
    Johann, 15:17 (15.06): O.K. Don't worry if you see stuff disappearing... it is all archived. 
61
   Bethany, 15:18 (15.06): Hey folks, I'll be taking an interlude, we have to do a fire drill.  
62
Bill, 15:12 (15.06): Yikes! Come back when you can. @: Message 61: To whole message     
63
      ihor, 15:17 (15.06): joins the room
64
Bill, 15:14 (15.06): OK, now that we've got some space, please arrange the chat window and Fathom (or Excel) so you can see it. Use the screenshot tool to capture something and paste it in (as Cynthia has already done).      
65
  Beth, 15:22 (15.06): How do you capture the entire fathom screen?    
66
Bill, 15:14 (15.06): Don't try for the whole screen, just a portion of it. @: Message 65: To whole message      
67
  Beth, 15:22 (15.06): OK    
68
    Johann, 15:20 (15.06): This is just my image from Excel, but everyone can take snapshots of Fathom and paste theirs here for discussion. To create a snapshot use the camera icon. You will have to have ConcertChat and Fathom visible on your screen. @:   
69
       Annie, 15:20 (15.06): joins the room
70
  Beth, 15:25 (15.06): I can not seem to paste my picture     
71
        steve, 15:21 (15.06): joins the room
72
    Johann, 15:24 (15.06): If you click on the camera, select a section of your screen and then click on the whiteboard area your image should be pasted. Anybody else having trouble with that? @: Message 70: To whole message    
73
Bill, 15:19 (15.06): Here is the graph that appears in the original data set. @:         
74
    Johann, 15:25 (15.06): BTW, this displays only February Datapoints @: Message 73: To whole message &     
75
Bill, 15:21 (15.06): This is a good question. Anybody have any thoughts? @:         
76
       Annie, 15:28 (15.06): Hi, folks. Sorry to be late. I won't paste in my whole explanation, since I got a little longwinded. Basically I filtered the graph so that it only included September, did a least squares line on that data, then dragged to the appropriate point in 2005, and then 2004 (to match the available data). @:  
77
 cynthia, 15:29 (15.06): Wjat       
78
 cynthia, 15:30 (15.06): What's the probability two people here have the same birth months Annie? I'm September too. :-)       
79
  Beth, 15:33 (15.06): Help. can not capture my graph from fathom.      
80
Bill, 15:25 (15.06): One way of looking at it is that the more of the data your model accounts for, the more answers you can get from it. So, while it's true you can get a prediction for a given month with the filtered, data, the model with the sine allows you to predict for any value, even half months. @: Message 75: To whole message        
81
Bill, 15:26 (15.06): Does anyone have a graph that shows the sine wave plus the linear trend?        
82
      ihor, 15:33 (15.06): Cynthia, its about 10% :-)  
83
 cynthia, 15:32 (15.06): Hi Ihor :-)       
84
       Annie, 15:33 (15.06): I sort of do....though my graph is scaled strangely. I'll get it. @: Message 81: To whole message 
85
      ihor, 15:34 (15.06): Hi.  
86
    Johann, 15:33 (15.06): Beth, do you have your two windows (Fathom and ConcertChat) side by side? If you minimize ConcertChat or switch applications it won't work. @: Message 79: To whole message    
87
      ihor, 15:35 (15.06): Am I impacting other peoples screens when I move things on the whiteboard?  
88
Bill, 15:28 (15.06): Cool! Now, got a graph that shows the sine wave going through the data points? @: Message 84: To whole message        
89
       Annie, 15:34 (15.06): So that just shows a very small slice of it, with the least squares line and my function. @:  
90
       Annie, 15:34 (15.06): Well, sure, if I scroll to the left far enough. Hang on a sec. @: Message 88: To whole message 
91
Bill, 15:29 (15.06): Yup. @: Message 87: To whole message        
92
    Johann, 15:35 (15.06): Yes, the Whiteboard is shared, so everyone sees what everyone does. @: Message 91: To whole message    
93
       Annie, 15:37 (15.06): So there it is. It's not perfect, but you get the idea. @: Message 88: To whole message 
94
Bill, 15:31 (15.06): About 5 people sent me writeups, and they were _very_ well done! But one interesting thing is that everyone's predictions were single numbers. No one included a range. Why do you suppose that was?        
95
       Annie, 15:38 (15.06): My second prediction was a range. @: Message 94: To whole message 
96
Bill, 15:32 (15.06): Does it bother you that the points don't look like they are perfectly on the sine wave? @: Message 93: To whole message        
97
       Annie, 15:38 (15.06): And I did that because I zoomed the graph in so far (the first sine one I postd, without the data) that there simply was a large range for 2004.7. @: Message 95: To whole message 
98
Bill, 15:32 (15.06): Sorry, I must have missed that. @: Message 95: To whole message        
99
       Annie, 15:38 (15.06): Yes, but time was running out, so I decided I was close enough for now. @: Message 96: To whole message 
100
       Annie, 15:39 (15.06): There was a lot to read :-) I wrote, in my second part, "I zoomed way in (see above) and found that the values for 2004.7 range from 371.70 down to 370.95." @: Message 98: s 
101
Bill, 15:33 (15.06): I find these "wrinkles" in the data really fascinating. @: Message 99: To whole message        
102
Bill, 15:34 (15.06): Uh, oh. Annie and Bill are dominating the conversation ...        
103
       Annie, 15:40 (15.06): Presumably there is a way to get it to give me 2004.75, instead of just .7. I didn't try to figure it out. The fact remained that the prediction didn't get any better than the linear model. @: Message 100: To whole message 
104
      ihor, 15:42 (15.06): Its fun watching you have fun, Bill  
105
 cynthia, 15:40 (15.06): So why *should* the data fit the sine wave?       
106
       Annie, 15:41 (15.06): Gosh, that sounds like science instead of math :-) @: Message 105: To whole message 
107
 cynthia, 15:41 (15.06): perfectly       
108
        steve, 15:42 (15.06): I guess I assumed that we were finding lines of best fit and thus the predictions were assumed to be a range, for which the number offered was a stand-in.
109
        steve, 15:42 (15.06): In what situations is it worht making it explicit?
110
Bill, 15:37 (15.06): Challenge: Show us a graph using the data from Mauna2003 (Fathom sample document) that includes your model; i.e. superimpose your equation on top of the larger set of data.        
111
        steve, 15:43 (15.06): and what would be learned in the process of trying to define the range
112
Bill, 15:38 (15.06): Basically, a single number is nearly useless because you have no idea how accurate it is. @: Message 109: To whole message        
113
Bill, 15:38 (15.06): First question is, "Doe we have any _way_ to find it out given the data we have? @: Message 111: To whole message        
114
   Bethany, 15:45 (15.06): Greetings I'm back!     
115
   Bethany, 15:45 (15.06): 11 flights of stairs later     
116
  Beth, 15:48 (15.06): Could we find a Confidence interval on the slope of the linear reg line then create two equations? I still can not get my graphs to show.      
117
   Bethany, 15:46 (15.06): What is a good way of determining the range for a prediction?     
118
Bill, 15:40 (15.06): Can you figure out how to do that in Fathom? @: Message 116: To whole message        
119
    Johann, 15:48 (15.06): Beth, another option for importing graphics is to take a picture of your Fathom screen with either Grab (OS X) or Print Screen (Windows) and use the "Add an Image" tool (before the camera icon) to import it. @: Message 116: To whole message    
120
Bill, 15:42 (15.06): Beth, after you draw a screenshot rectangle around something, you have to click somewhere in the whiteboard. Have you done that? @: Message 116: To whole message        
121
Bill, 15:43 (15.06): Steve, I have an answer to the question you asked in your email. about how to compare values from the Web data with those given in the MaunaShort Fathom document.        
122
        steve, 15:51 (15.06): thanks. I am here @: Message 121: To whole message
123
Bill, 15:45 (15.06): Here's the graph that shows both sets of points _very_ close together. @:         
124
Bill, 15:45 (15.06): Beth, since I have your Fathom document, should I capture something from it?        
125
        steve, 15:52 (15.06): so each point there is actually two points?
126
Bill, 15:47 (15.06): Yes, here is a "blowup" of and area of the graph. @:         
127
 cynthia, 15:54 (15.06): Is there a way to share the question being discussed?       
128
        steve, 15:54 (15.06): and this shows that the difference is consistent between the two? @: Message 126: To whole message
129
Bill, 15:48 (15.06): Which discussion? @: Message 127: To whole message        
130
  Beth, 15:56 (15.06): Thanks. I wanted to show the main graph with the entire data set.       
131
Bill, 15:48 (15.06): Yes, it's an offset. I don't know why. @: Message 128: To whole message        
132
        steve, 15:54 (15.06): I think she means my question about why the values differ between the data set in Fathom and on the web. @: Message 127: To whole message
133
 cynthia, 15:55 (15.06): Yes, that's right. Thanks for the interpretation, steve.       
134
Bill, 15:49 (15.06): Here's is Beth's graph. @:         
135
  Beth, 15:57 (15.06): I can not create a CI for slope, but I tried a inference test for slope and Fathom found a t-value of 30.98.       
136
  Beth, 15:57 (15.06): thanks      
137
       Annie, 15:56 (15.06): I just pasted a graph that meets your challenge...cool! @: Message 110: To whole message 
138
       Annie, 15:56 (15.06): This is it. @:  
139
Bill, 15:50 (15.06): What's cool? What do you see in it? @: Message 137: To whole message        
140
       Annie, 15:57 (15.06): That obviously we were given a small section of the graph so that we'd think it might fit with a linear model. @: Message 139: To whole message 
141
Bill, 15:51 (15.06): I'm going to do a bit of cleanup so we can have space again.        
142
Bill, 15:51 (15.06): No, I wasn't trying to manipulate your thoughts! :) @: Message 140: To whole message        
143
 cynthia, 15:58 (15.06): Annie, would you explain more about that?       
144
 cynthia, 15:58 (15.06): Where is the graph. Could you link it?       
145
       Annie, 15:58 (15.06): We can always scroll back using the lefthand scroll bar if we need to see old stuff on the whiteboard. It keeps a history. So Bill, you oculd delete stuff, far as I know. It will remain in the history. @: Message 141: To whole message 
146
       Annie, 15:59 (15.06): The graph is here, Cynthia. At least for now! @:  
147
Bill, 15:53 (15.06): Sorry, I moved it. @: Message 146: raph is here, Cynthia. At least        
148
         Craig, 15:57 (15.06): joins the room
149
Bill, 15:56 (15.06): We're about half way through the session. I propose we take a moment to checkin with each other about how it's going. Could everyone just write something about what this is like for you? Include thoughts about the second hour.         
150
       Annie, 16:02 (15.06): ignoring the sine-nature of the graph, it looks more like a chunk of a parabola than of a line, when you see all of this data. @: Message 143: To whole message  
151
          David in DC, 16:00 (15.06): joins the room
152
      ihor, 16:05 (15.06): I unfortunately dont have Fathom up and running. I'm working from a spreadsheet. I assume CO2 function came from the plots along the sine curve. Is that right?    
153
       Annie, 16:05 (15.06): Ihor, I came up with that by plotting the function a*sin(bx) + (the least squares lines), and messed with sliders for a and b until it seemed right (and then figured out that b is 2pi...duh). @: Message 152: To whole message   
154
  Beth, 16:07 (15.06): I thought I was a good mulitasker, but aparently not. I just not started to follow everyone.         
155
       Annie, 16:05 (15.06): You can plot a function on a graph. (We've almost exhausted my Fathom knowledge, all gleaned from the resources Bill suggested). @: Message 153: To whole message   
156
         Craig, 16:01 (15.06): leaves the room 
157
         David in DC, 16:06 (15.06): Hi All. I finally got everything installed have a few minutes to join in.
158
Bill, 16:00 (15.06): @: Message 149: To whole message         
159
      ihor, 16:08 (15.06): Annie, it appears to be a pretty good approximation.   
160
 cynthia, 16:07 (15.06): I'm enjoying trying to capture bits from all conversations...        
161
      ihor, 16:08 (15.06): I'm basing my birthday prediction on your function. :-)   
162
       Annie, 16:07 (15.06): It's quite nice for that one little chunk of the data we were given in the "short" document! @: Message 159: To whole message  
163
Bill, 16:01 (15.06): For me as facilitator, it's pretty intense, but fun. The hardest part is not being able to "see" people to gauge interest and figure out where to go next. @: Message 149: To whole message         
164
      ihor, 16:09 (15.06): Ihor smiles.   
165
 cynthia, 16:08 (15.06): you're doing great. roll on.        
166
       Annie, 16:08 (15.06): (Disclaimer: Riz helped me with the math - I knew I needed to add somethign to get it to "tilt", and he explained it was the line of best fit.) @: Message 162: To whole message  
167
         David in DC, 16:08 (15.06): The function appears more like a composition than a sum.
168
         David in DC, 16:09 (15.06): But, Annie's rotated sine curve looks good.
169
Bill, 16:03 (15.06): Why a composition? @: Message 167: To whole message         
170
          Craig, 16:07 (15.06): joins the room
171
Bill, 16:04 (15.06): Here is a simple regression model. Note that, along with your predicted value, you get a confidence interval. @:           
172
 cynthia, 16:11 (15.06): so bill, you know we want you to show us how the technology does that         
173
         David in DC, 16:11 (15.06): I would have tried to embed the sine inside the linear transformation or taken the data and extrapolated it out far enough by a transformation of the data. Sort of the brute force approach. 
174
       Annie, 16:11 (15.06): Fair enough, but now you're venturing into territory for which I need to learn more math, instead of just more fathom! @: Message 171: To whole message   
175
  Beth, 16:14 (15.06): cool. Bill how did you do that?        
176
Bill, 16:06 (15.06): Challenge: Show a residual plot of your model against the data. (Hint, see the Graph menu.)          
177
Bill, 16:07 (15.06): The crystal ball tool in Fathom allows you to make either simple regression or multiple regression models. @: Message 175: To whole message          
178
   Bethany, 16:13 (15.06): crystal ball tool?? not familiar with that one @:        
179
Bill, 16:07 (15.06): Cynthia, do you mean the underlying mathematics or the interface? @: Message 172: To whole message          
180
Bill, 16:07 (15.06): Do you have Fathom 2 or Fathom 1? @: Message 178: To whole message          
181
 cynthia, 16:14 (15.06): Fathom 2.         
182
   Bethany, 16:14 (15.06): fathom 2       
183
       Annie, 16:15 (15.06): I assume that "your model" means I can't just do a residual plot in the graph, and there's something else I need to do. @: Message 176: To whole message   
184
Bill, 16:09 (15.06): Your model is your equation. A residual plot is something you can get when you have a scatter plot and an equation. @: Message 183: To whole message          
185
Bill, 16:10 (15.06): Then you should see a crystal ball in the tool shelf. @: Message 182: To whole message          
186
       Annie, 16:16 (15.06): So if I just do residual plot on my graph, this is what I get. @:    
187
          Craig, 16:14 (15.06): leaves the room
188
       Annie, 16:17 (15.06): You mean the thing labeled "model", right? @: Message 185: To whole message  
189
       Annie, 16:17 (15.06): (they wouldn't let you label it crystal ball, eh?) @: Message 188: To whole message  
190
Bill, 16:11 (15.06): Now these are _very_ useful. When a model accounts for all of the pattern in the data. the leftover, the residual, should just be noise; i.e. normally distributed values. @: Message 186: To whole message         
191
Bill, 16:12 (15.06): Right. A model is kind of like a crystal ball because it allows you to make predictions. @: Message 188: To whole message         
192
          Craig, 16:16 (15.06): joins the room
193
Bill, 16:13 (15.06): Show us what the residuals look like for this one. I'll bet they are mostly noise. @:           
194
   Bethany, 16:19 (15.06):        
195
   Bethany, 16:19 (15.06): haha. I thought you were joking about the "crystal ball"       
196
Bill, 16:14 (15.06): What, me, attempt funniness? :) @: Message 195: To whole message          
197
       Annie, 16:22 (15.06): So I've added that graph...not as useful, eh? @: Message 193: To whole message   
198
       Annie, 16:22 (15.06): there it is. @:    
199
Bill, 16:17 (15.06): I did it, too. Actually, it _is_ useful, since it shows that for this portion of the data, linear plus sine does a _good_ job of modeling. And in your graph, you can detect the non-sinusoidal part, too, more easily than in the upper graph. @:           
200
Bill, 16:18 (15.06): This is from Beth's solution, BTW. @:           
201
  Beth, 16:27 (15.06): Did you send us the rest of the data after 1997?        
202
 cynthia, 16:26 (15.06): What would the residuals look like if linear plus sine didn't do a good job?         
203
Bill, 16:20 (15.06): There's a Fathom document with it called MaunaLoa2003. @: Message 201: To whole message          
204
       Annie, 16:27 (15.06): It's referenced in the tPoW that we worked with. @: Message 203: To whole message   
205
 cynthia, 16:27 (15.06): oh, i see they're all close to 0.         
206
          Craig, 16:27 (15.06): You'd see a pattern... maybe larger residuals on one end, for example, or the residual graph curved @: Message 202: To whole message
207
Bill, 16:21 (15.06): Annie's first residuals plot shows residuals in the situation the data don't fit the model. @: Message 202: To whole message          
208
 cynthia, 16:27 (15.06): thanks...         
209
       Annie, 16:28 (15.06): Beth's is more even than mine, meaning that her function is closer? @: Message 200: To whole message   
210
Bill, 16:22 (15.06): Annie mentioned that with all the data, it looks like a parabola plus sine would be better than linear plus sine. Thoughts about that?          
211
  Beth, 16:31 (15.06): What about exponential        
212
Bill, 16:23 (15.06): Yes! And you could try adjusting the parameters to see the effect that has on the residuals. @: Message 209: To whole message          
213
       Annie, 16:29 (15.06): Well, yea, it could be that too :-) @: Message 211: To whole message   
214
       Annie, 16:30 (15.06): I guess I'll go drag a slider! @: Message 212: To whole message   
215
          Craig, 16:30 (15.06): Nature doesn't know parabolas from anything. The law in Statistics appears to be, "if it feels good, do it." I would try exponential (in fact, an exponential regression is easier to obtain than a quadratic one). @: Message 210: parabola
216
  Beth, 16:32 (15.06): Can I try to log the CO2s it see if it is an exponential.        
217
       Annie, 16:31 (15.06): Oh, now mine is better - that helps a lot! Much like moving a movable line while watching the sum of the areas of the squares change. @: Message 212: To whole message   
218
Bill, 16:25 (15.06): I disagree. I think the law is to keep the model simple except if you have some contextual reason to make it more complicated. @: Message 215: The law in Statistics appears to be, "if it feels good, do it."           
219
Bill, 16:26 (15.06): Speaking of sum of squares, did anyone try showing these with the linear plus sine equation selected? @: Message 217: To whole message          
220
         David in DC, 16:32 (15.06): Speaking of draging, I'm doing that to passing NSF staffers to show them this discussion. They think it's very cool! 
221
          Craig, 16:33 (15.06): @: Message 218: keep the model simple
222
          Craig, 16:34 (15.06): I agree... my point was that if linear fits well enough, use linear; if something else fits better, use something else. @: Message 221: To whole message
223
Bill, 16:28 (15.06): Here's a portion of the graph you get. @:           
224
Bill, 16:30 (15.06): Actually, this one's clearer. @:           
225
          Craig, 16:38 (15.06): This graph is really cool. I was intrigued by something you showed/said earlier about interval estimates for the birthday thing. I'm new to Fathom; how does the "crystal ball" work? I say (using the whiteboard history feature) a "models" window... how do you get non-linear models included?
226
   Bethany, 16:38 (15.06): but I've heard that comparing different models is really difficult. Isn't a function that contains more terms always have the potential to fit better than something that doesn't? @: Message 222: To whole message