The+Tide+of+Stone+Harbor

== Question : Create a tide model using the sine or cosine function for a beach of your choice. Fully explain the components of your model, compare the predictions from your model to actual tide values from the data set you used and include a use of your tide model. Your model should include the graph and the function that models your data. == We picked the beach Stone Harbor because it was a beach of preference. We did some research to find some values for the tide on given set over 2 days so we did from January 13th, 2012 to January 14th, 2012. We used 6 tide levels that way it could increase our accuracy so up next was to graph them. We used the graphing calculator and went to STAT and then EDIT and plugged in the times for L1 and then the distances for L2. Next we went to STAT and then CALC and went scrolled down to the sine key within the menu and did the sine calcualtion for L1 and L2 and found the equation of y=3.88sin(-3.21x)+-2.79-8.54. We then used the graph program on the computer and plugged in the equation and got the following graph which shows a simliar pattern to sine. This matched our predictions of it being sine because we knew that the tide levels would be at one extreme of being high and then another extreme of it being low ( negative ) which would represent the high and low tides and would start to repeat itself throughout the days at different times.

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 * < ==10:06 am== ||< ==4.96 ft.== ||
 * < ==4:47 pm== ||< ==-0.51 ft.== ||
 * < ==10:41 pm== ||< ==4.14 ft.== ||
 * < ==4:53 am== ||< ==-0.28 ft== ||
 * < ==10:50 am== ||< ==4.75 ft.== ||
 * < ==5:31 pm== ||< ==-0.49 ft== ||