1
   

Pre-cal

 
 
Reply Mon 28 Mar, 2005 10:09 pm
We were given a data table listed as the following:

Time Depth (ft)
12am 9.8
1am 11.4
2am 11.6
3am 11.2
4am 9.6
5am 8.5
6am 6.5
7am 5.7
8am 5.4
9am 6.0
10am 7.0
11am 8.6
12am 10.0

we were asked to make a scatter plot of the data which i did, and then we were asked to find both a sin and a cosine equation that models the data, and i have no idea how to do that...we were also asked what the depth of the water will be at 10:45am? I would greatly appreciate it if anyone could explain how to go about solving this problem, thank you in advance...
  • Topic Stats
  • Top Replies
  • Link to this Topic
Type: Discussion • Score: 1 • Views: 597 • Replies: 2
No top replies

 
markr
 
  1  
Reply Mon 28 Mar, 2005 10:41 pm
The plot should look like a sine wave. Can you determine the amplitude, period, phase shift, and y offset so that you can come up with something that looks like:
y = A*sin(B*x+C)+D
0 Replies
 
engineer
 
  1  
Reply Tue 29 Mar, 2005 08:00 am
One step further
markr wrote:
The plot should look like a sine wave. Can you determine the amplitude, period, phase shift, and y offset so that you can come up with something that looks like:
y = A*sin(B*x+C)+D


That's the general form of the equation. Here's how to estimate the constants.

A is the amplitude of the wave. You can estimate it by taking the difference between the highest and lowest Y values and dividing by two.

D is the mean value. Estimate it by taking the mean value.

-C is the X value (time) where the curve crosses the mean from low to high. This looks like 11:00 in your data. Note the negative sign.

B is harder. You find it by taking 2PI divided by the amount of time it takes to complete one full cycle. You don't have one full cycle in your data, so use PI divided by the time it takes to go from the maximum value to the minimum value.

From the clues above, you should be able to get an equation and approximate the level on a new time. The cosine equation can be determined from the sine equation. Cos(x)=Sin(pi/2 - x), so use the same A and D from above and the relationship above to change the sine into the cosine.

Good luck
0 Replies
 
 

Related Topics

Evolution 101 - Discussion by gungasnake
Typing Equations on a PC - Discussion by Brandon9000
The Future of Artificial Intelligence - Discussion by Brandon9000
The well known Mind vs Brain. - Discussion by crayon851
Scientists Offer Proof of 'Dark Matter' - Discussion by oralloy
Blue Saturn - Discussion by oralloy
Bald Eagle-DDT Myth Still Flying High - Discussion by gungasnake
DDT: A Weapon of Mass Survival - Discussion by gungasnake
 
  1. Forums
  2. » Pre-cal
Copyright © 2024 MadLab, LLC :: Terms of Service :: Privacy Policy :: Page generated in 0.03 seconds on 05/18/2024 at 02:29:31