In Excel, using the x-y values:
A B
1 4 5
2 -5 -3
the slope funcion SLOPE(B1:B2;A1:A2) gives 0.88888889 and that value corresponds to 41.6335393 (so, 42°) with respect to the horizontal axis using the function DEGREES(ATAN(0.88888889)).
However, when I use the following x-y values:
1 453014
2 785013
3 1117012
4 1449011
5 1781010
6 2113009
7 2445008
8 2777007
9 3109006
10 3441005
11 3773004
12 4105003
13 4437002
14 4769001
15 5101000
the SLOPE and DEGREES(ATAN()) functions give 331999 and 89.9998274 (so, 90°), respectively. The problem is that both lines should have similar angle values because they are relatively similar when plotted (see image below).
Where would it be the problem? Hints are much appreciated.
Related
I am trying to use Excel Solver to get fits for a piecewise linear function (here, a three line fit). The Solver explanation here is helpful for a single linear case, but I am not sure how to set the model up "smartly" so that it re-calculates the hinge-points (i.e., x-values of line intersections will change with the input data). I've never used Solver before.
x y
1 0.1552
2 0.1877
3 0.2016
4 0.2094
5 0.2142
6 0.2176
7 0.2201
8 0.2220
9 0.2235
10 0.2247
11 0.2256
12 0.2265
13 0.2272
14 0.2278
15 0.2283
16 0.2288
17 0.2292
18 0.2296
19 0.2299
20 0.2302
I have a dataset which represents tracking data of a mouse's paw moving up and down in the y-axis as it reaches up for and pulls down on a piece of string.
The output of the data is a list of y-coordinates corresponding to a fraction of a second. For example:
1 333.9929833
2 345.4504726
3 355.7046572
4 367.6136684
5 379.7906121
6 390.5470788
7 397.9017118
8 403.677123
9 412.1550843
10 416.516814
11 419.8205706
12 423.7994881
13 429.4874275
14 419.2652898
15 360.1626136
16 298.8212249
17 264.3647809
18 265.0078862
19 268.1828407
20 283.101321
21 294.8219163
22 308.4875135
In this series, there is a max value of 429... and a minimum of 264... - however, as you can see from an example image:
(excuse the gaps), there are multiple consecutive wave-like maxima and minima.
The goal is to find the difference between each maxima and consecutive minima, and each minima and consecutive maxima (i.e. max1-min1, min2-max1, max2-min2...). Ideally, this would also provide the timepoints of each max and min (e.g. 13 and 17 for the provided dataset) - there is a column with integer labels (1, 2, 3...) corresponding to each coordinate.
Thanks for your help!
I have been trying to create a windrose that displays the occurence of multiple wind speeds and their respective wind direction. Using other very helpful posts on here I've gotten pretty close to what I want. There is just one thing I can't seem to fix.
As you can see in the figure below the graph starts at 0 degrees while I want the "North" wind direction to start at -11,25 (or +348,75) degrees.
Currently the radial axis labels are added using a pie chart while the rest of the data is plotted in a filled radar chart. It is easy to rotate the pie chart but I can't seem to find a similar function for rotating the radar chart. Any help would be much appreciated. The excel file is attached beneath the figure.
EDIT: Locked excel file against editing
Excel file
I haven't fully digested the netiquette of this website and not sure if it is a good idea to try giving you an answer 6+ months after you posted. Also hope that by this time you found an answer.
If not, this link should be of help:
https://superuser.com/questions/687036/how-to-make-a-pie-radar-chart
In the example the creator made one field for each degree and started the first series, which would be equivalent to your north at 0°. However nothing prevents you from starting at 348.
I have not tested but I also think that nothing prevents you from adding even more "resolution", e.g. half-degree steps.. or even more to your discretion.
EDIT: following L.Guthardt's feedback.
In order to provide you an answer I opted to simplify your table and chart. Mostly for convenience, but also because I struggle to get a full understanding of the original "architecture". Still, the solution should work at any level and is based on two key elements:
first you will have to double the number of rows from 16 to 32 (thus each quadrant being repeated two times, e.g. ... nne - nne - ne - ne...)
second, you have to start and finish with N as showcased here
Direction Cat6
N 6
NNE 4 4
NNE 6
NE 4 4
NE 6
ENE 4 4
ENE 6
E 4 4
E 6
ESE 4 4
ESE 6
SE 4 4
SE 6
SSE 4 4
SSE 6
S 4 4
S 6
SSW 4 4
SSW 6
SW 4 4
SW 6
WSW 4 4
WSW 6
W 4 4
W 6
WNW 4 4
WNW 6
NW 4 4
NW 6
NNW 4 4
NNW 6
N 4 4
which will generate
for the pie chart I used a separate range with alternate gaps in the labels
Direction Dummy
N 1
1
NNE 1
1
NE 1
1
ENE 1
1
E 1
1
ESE 1
1
SE 1
1
SSE 1
1
S 1
1
SSW 1
1
SW 1
1
WSW 1
1
W 1
1
WNW 1
1
NW 1
1
NNW 1
1
Rotating radar charts in Excel can be achieved by building a separate table for plotting the chart. It would have three columns:
Column A: New categories
Column B: Original categories (calculated from A)
Column C: Original data using VLOOKUP() on B
The chart will be plotted using columns B and C. Column B category numbers are offset by the desired number of categories.
If the chart needs to be rotated by other than multiples of a category degree (e.g., 30 degrees for 12 categories), you would need to add rows in between (corresponding to the amount of rotation in relation to the category degree). For example, to rotate a 12-category radar chart by multiples of 15 degrees, one extra row is needed in-between each original category row (to create 24 new categories). In this case, you would need to calculate the intermediate values by linearly interpolating between actual data points.
The trick is that blank category values are not displayed on the chart and the values for these categories blend in smoothly with the real data (because they are interpolated).
I will post an example if the above is not clear enough.
P.S. I cannot look at your new Excel file (in Answers) because it exceeds 5 MB (see screenshot 1).
So I did keep working on this problem and the best solution I've come up with (while using Microsoft Excel) looks as follows:
Currently, the number of sectors in the plot is fixed at 16. If I want to make this number variable, the table required for the plot data requires a very large amount of lookup functions which make the spreadsheet too slow to work with.
I've uploaded the new Excel file here to take a look at:
Excel file
I am trying to find the equation of a plane of best fit to a set of x,y,z data using the LINEST function. Some of the z data is missing, meaning that there are #N/As in the z column. For example:
A B C
(x) (y) (z)
1 1 1 5.1
2 2 1 5.4
3 3 1 5.7
4 1 2 #N/A
5 2 2 5.2
6 3 2 5.5
7 1 3 4.7
8 2 3 5
9 3 3 5.3
I would like to do =LINEST(C1:C9,A1:B9), but the #N/A causes this to return a value error.
I found a solution for a single independent variable (one column of known_x's, i.e. fitting a line to x,y data), but I have not been able to extend it for two independent variables (two known_x's columns, i.e. fitting a plane to x,y,z data). The solution I found is here: http://www.excelforum.com/excel-general/647448-linest-question.html, and the formula (slightly modified for my application) is:
=LINEST(
N(OFFSET(C1:C9,SMALL(IF(ISNUMBER(C1:C9),ROW(C1:C9)-ROW(C1)),
ROW(INDIRECT("1:"&COUNT(C1:C9)))),0,1)),
N(OFFSET(A1:A9,SMALL(IF(ISNUMBER(C1:C9),ROW(C1:C9)-ROW(C1)),
ROW(INDIRECT("1:"&COUNT(C1:C9)))),0,1)),
)
which is equivalent to =LINEST(C1:C9,A1:A9), ignoring the row containing the #N/A.
The formula from the posted link could probably be adapted but it is unwieldy. Least squares with missing data can be viewed as a regression with weight 1 for numeric values and weight 0 for non-numeric values. Based on this observation you could try this (with Ctrl+Shift+Enter in a 1x3 range):
=LINEST(IF(ISNUMBER(C1:C9),C1:C9,),IF(ISNUMBER(C1:C9),CHOOSE({1,2,3},1,A1:A9,B1:B9),),)
This gives the equation of the plane as z=-0.2x+0.3y+5 which can be checked against the results of using LINEST(C1:C8,A1:B8) with the error row removed.
I have been working on this homework problem for about 6 hours.
We are given a volume in gallons, and have to find the radius and diameter of a cylinder (the pond). I can't figure out what I'm doing wrong. cmath is included in my program. Here is the code:
1 //dblPondRadius = sqrt((dblPondVolumeCube)/M_PI*11));
2
3 dblPondVolumeCube = static_cast<double(intPondVolume)*.13368;
4
5 dblPondRadius = dblPondVolumeCube/(M_PI*11);
6
7 dblPondRadius = sqrt (dblPondVolumeCube);
8
9 dblPondDiameter = dblPondRadius*2;
Line 3 converts the gallons into cubic feet
Line 5 is step 1 of the pond radius formula that was given to us (see formula in the comment at top of code)
Line 7 is step 2 of the formula
Line 9 computes the diameter
The whole rest of the program is dependent on calculations from the diameter. It's due in 1.5 hours please help!!!
Line 5 sets dblPondRadius, then line 7 sets it again, without reference to the previous value, so line 5's work is thrown away.