determining the slope and x-axis value

mjant

New Member
Joined
Jun 4, 2012
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6
Hello fellow Excel users (especially engineer or scientist types),

I've been asked to have MS Excel do calculations done manually so far.
An instrument takes readings (absorbance) over time.
Typically, for a sample, the absorbance goes up, peaks after about 3 minutes and then comes down, then does some other minor ups and downs that we ignore. (Absorbance on y-axis, time on x-axis if plotted).

The instrument spits out two columns of data, time of reading and Abs value (15 second intervals between reads, last read at 1 hr)

We are interested in stuff after the peak abs value but before the 'bottom out" Using only formulas, determine the x-value at 50% peak height (y) on the 'descent' as well as slope of the line at that point.

I know how to pick up the 'Max' in a set but the rest puzzles me. Suggestions?
 

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Using Function Arguments with nested formulas
If writing INDEX in Func. Arguments, type MATCH(. Use the mouse to click inside MATCH in the formula bar. Dialog switches to MATCH.
Can you post a typical set of data?


Do you want an interpolated value of time, or the closest match?
 
Upvote 0
<TABLE style="WIDTH: 142pt; BORDER-COLLAPSE: collapse" border=0 cellSpacing=0 cellPadding=0 width=189><COLGROUP><COL style="WIDTH: 88pt; mso-width-source: userset; mso-width-alt: 3744" width=117><COL style="WIDTH: 54pt" width=72><TBODY><TR style="HEIGHT: 14.25pt" height=19><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent; WIDTH: 88pt; HEIGHT: 14.25pt; BORDER-TOP: windowtext 0.5pt solid; BORDER-RIGHT: #f0f0f0" class=xl65 height=19 width=117>Time(hh:mm:ss)</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: #f0f0f0; BACKGROUND-COLOR: transparent; WIDTH: 54pt; BORDER-TOP: windowtext 0.5pt solid; BORDER-RIGHT: windowtext 0.5pt solid" class=xl66 width=72>A2</TD></TR><TR style="HEIGHT: 14.25pt" height=19><TD style="BORDER-BOTTOM: #f0f0f0; BORDER-LEFT: #f0f0f0; BACKGROUND-COLOR: transparent; HEIGHT: 14.25pt; BORDER-TOP: #f0f0f0; BORDER-RIGHT: #f0f0f0" class=xl63 height=19>0:00</TD><TD style="BORDER-BOTTOM: #f0f0f0; BORDER-LEFT: #f0f0f0; BACKGROUND-COLOR: transparent; BORDER-TOP: #f0f0f0; BORDER-RIGHT: #f0f0f0" class=xl64>0.2493</TD></TR><TR style="HEIGHT: 14.25pt" height=19><TD style="BORDER-BOTTOM: #f0f0f0; BORDER-LEFT: #f0f0f0; BACKGROUND-COLOR: transparent; HEIGHT: 14.25pt; BORDER-TOP: #f0f0f0; BORDER-RIGHT: #f0f0f0" class=xl63 height=19>0:17</TD><TD style="BORDER-BOTTOM: #f0f0f0; BORDER-LEFT: #f0f0f0; BACKGROUND-COLOR: transparent; BORDER-TOP: #f0f0f0; BORDER-RIGHT: #f0f0f0" class=xl64>0.2517</TD></TR><TR style="HEIGHT: 14.25pt" height=19><TD style="BORDER-BOTTOM: #f0f0f0; BORDER-LEFT: #f0f0f0; BACKGROUND-COLOR: transparent; HEIGHT: 14.25pt; BORDER-TOP: #f0f0f0; BORDER-RIGHT: #f0f0f0" class=xl63 height=19>0:34</TD><TD style="BORDER-BOTTOM: #f0f0f0; BORDER-LEFT: #f0f0f0; BACKGROUND-COLOR: transparent; BORDER-TOP: #f0f0f0; BORDER-RIGHT: #f0f0f0" class=xl64>0.2556</TD></TR><TR style="HEIGHT: 14.25pt" height=19><TD style="BORDER-BOTTOM: #f0f0f0; BORDER-LEFT: #f0f0f0; BACKGROUND-COLOR: transparent; 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Upvote 0
Q:Do you want an interpolated value of time, or the closest match?
A: Interpolated value is fine, i can generate the closest match from there.<!-- / message --><!-- sig -->
 
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The peak height is 0.5. You want the time and slope at what value? It never descends to half of that.
 
Upvote 0
Sorry, I forgot to say that the initial value is the baseline, subtract the initial Abs from the peak Abs to get the delta. Now, half the delta
 
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<TABLE style="WIDTH: 231pt; BORDER-COLLAPSE: collapse" border=0 cellSpacing=0 cellPadding=0 width=307><COLGROUP><COL style="WIDTH: 47pt; mso-width-source: userset; mso-width-alt: 2852" width=62><COL style="WIDTH: 49pt; mso-width-source: userset; mso-width-alt: 2998" width=66><COL style="WIDTH: 37pt" width=49><COL style="WIDTH: 61pt; mso-width-source: userset; mso-width-alt: 3693" width=81><COL style="WIDTH: 37pt" width=49><TBODY><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: #f3f3f3; WIDTH: 47pt; HEIGHT: 12pt; BORDER-TOP: windowtext 0.5pt solid; BORDER-RIGHT: windowtext 0.5pt solid" class=xl32 height=16 width=62>time</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: windowtext; BACKGROUND-COLOR: #f3f3f3; WIDTH: 49pt; BORDER-TOP: windowtext 0.5pt solid; BORDER-RIGHT: windowtext 0.5pt solid" class=xl32 width=66>value</TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: white; WIDTH: 37pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" class=xl31 width=49></TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: white; WIDTH: 61pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" class=xl31 width=81></TD><TD style="BORDER-BOTTOM: #ece9d8; BORDER-LEFT: #ece9d8; BACKGROUND-COLOR: white; WIDTH: 37pt; BORDER-TOP: #ece9d8; BORDER-RIGHT: #ece9d8" class=xl31 width=49></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext 0.5pt solid; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>0:00



</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext 0.5pt solid; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.2493</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext 0.5pt solid; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext 0.5pt solid; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34>initial</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext 0.5pt solid; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.2493</TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>0:17</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.2517</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34>peak</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.4997</TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>0:34</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.2556</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34>avg</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.3745</TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>0:51</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.2688</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34>peak index</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>13</TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>1:08</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.2947</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34>subs min index</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>30</TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>1:25</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.3252</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34>time</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 align=right>6:08</TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>1:42</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.3584</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>1:59</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.3929</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>2:16</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.4287</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>2:33</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.4602</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>2:50</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.4837</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>3:07</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.4969</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>3:24</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.4997</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>3:41</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.4937</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>3:58</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.4823</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>4:15</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.4675</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>4:32</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.4517</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>4:49</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.4361</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>5:06</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.4205</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>5:23</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.4059</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>5:40</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.3933</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>5:57</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.3816</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>6:14</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.3713</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>6:31</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.3628</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>6:48</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.3544</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>7:05</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.3464</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>7:22</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.3194</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>7:39</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.3082</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>7:56</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.2873</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>8:13</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.2728</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>8:30</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.2753</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>8:47</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.2857</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR><TR style="HEIGHT: 12pt" height=16><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext 0.5pt solid; BACKGROUND-COLOR: white; HEIGHT: 12pt; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl33 height=16 align=right>9:04</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34 align=right>0.2866

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</TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" id=td_post_3176685 class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD><TD style="BORDER-BOTTOM: windowtext 0.5pt solid; BORDER-LEFT: windowtext; BACKGROUND-COLOR: white; BORDER-TOP: windowtext; BORDER-RIGHT: windowtext 0.5pt solid" class=xl34></TD></TR></TBODY></TABLE>

Formulas:

E2: =B2

E3: =MAX(B2:B34)

E4: =AVERAGE(E2:E3)

E5: =MATCH(E3, B2:B34, 0)

E6: =MATCH(MIN(B34:INDEX(B2:B34, E5)), B34:INDEX(B2:B34, E5), 0) + E5 - 1

E7: =PERCENTILE(INDEX(A2:A34, E5):INDEX(A2:A34, E6), 1 - PERCENTRANK(INDEX(B2:B34, E5):INDEX(B2:B34, E6), E4, 6))

The interpolation only works because your data is monotone from the peak to the subsequent minimum -- it would fail if it were not.
 
Last edited:
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