Generate Quadratic Equation from Data Set

E

emoat

New Member
Joined
Apr 3, 2006
Messages
7
Hi all,
This may be asking too much of Excel or VBA.
I'm trying to generate the quadratic equation (ax^2 + bx + c) for a set of data using only VBA. I don't have the equation constants (a, b, and c), only the x and y coordinates.
As a simple example (x,y): (0, 586) (1, 20450) (2, 46222) and (5, 119450).
I can plot these in a scatter plot, select Add Trendline, then choose Polynomial (2nd order = Quadratic) and check "Display Equation on Chart". Here I get y = 442.04x^2 + 21715x - 69.293.
This works fine for one set of data. What I'd like to do is be able to generate the equation for any given set of data using VBA only (not generating a chart).
I have a brute force method already whereby VBA generates the chart/equation as described previously, copies the equation from the chart, then deletes the chart and stores the copied a, b, and c values. This takes a long time when dealing with 800+ different sets of data. Seems like something more elegant should be possible. Excel must have something internal to the program to determine the quadratic function given a set of data or it wouldn't be possible in the chart. I'm just hoping there is a more elegant way of getting at the calculation.
Hopefully I've explained properly what I'm looking for and thanks in advance if anyone has suggestions!!
 
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If you don't want to use auxilliary columns, you still have to reproduce them in the formula.

For ex, in the table I posted, using just the original values in A:C,

- select D13:I13, write in the formula bar:

=LINEST(A2:A10,IF({1,1,1,0,0},B2:B10^{1,2,3},C2:C10^{0,0,0,1,2}))

and confirm with Ctrl-Shift-Enter.


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TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">3</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">9</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">5</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">325</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">4</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">4</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">6</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">174</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">3</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">9</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">7</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">7</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">1</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">4</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">8</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">2290</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">8</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">5</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">9</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">1561</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">7</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">4</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">10</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">165</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">3</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">8</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">11</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">12</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">13</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: left; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">Linest</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">1</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">-8</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">4</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">3</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">7</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">9</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD></TR><TR><TD style="BORDER-BOTTOM-COLOR: #000000; TEXT-ALIGN: center; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #000000; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BACKGROUND: #9cf; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #000000; BORDER-LEFT-COLOR: #000000; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em">14</TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD><TD style="BORDER-BOTTOM-COLOR: #888888; TEXT-ALIGN: right; PADDING-BOTTOM: 0.25em; BORDER-RIGHT-WIDTH: 1px; BORDER-TOP-COLOR: #888888; PADDING-LEFT: 0.5em; PADDING-RIGHT: 0.5em; BORDER-TOP-WIDTH: 1px; BORDER-BOTTOM-WIDTH: 1px; BORDER-RIGHT-COLOR: #888888; BORDER-LEFT-COLOR: #888888; BORDER-LEFT-WIDTH: 1px; PADDING-TOP: 0.4em"> </TD></TR><TR><TD style="PADDING-LEFT: 1em; BACKGROUND: #9cf" colSpan=11>[Book1]Sheet5</TD></TR></TBODY></TABLE>


Remark to posting data:

Most times you can copy data directly from excel into the IE.

Many people here in the board use Excel Jeanie:

http://www.excel-jeanie-html.de/index.php?f=1
 
Upvote 0

Excel Facts

What do {} around a formula in the formula bar mean?
{Formula} means the formula was entered using Ctrl+Shift+Enter signifying an old-style array formula.
Thank you so much sir! that saves some serious work for a few thousand regressions!

I will get excel jeane as well- thanks on that front too.

The {1,1,1,0,0} IF and {0,0,0,1,2} is brilliant!

THat was a great fix. IF i use either (a) transpose(aa:aa) or (b) use {1;1;1;0;0} my side by side horizontal regressions work too- so great fix!

Thanks so very much
 
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