Math Modeling Task

Task-1 Data Collection
[b]Math Modeling: [/b]The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences and engineering disciplines, as well as in non-physical systems such as the social sciences.[br][br][b]Step-1[br][/b]Use the Internet or other relevant sources to [b]collect the data[/b][br]Example: [br]Average Age Vs Average Heights of Male or Female[br][b]Step-2[/b][br]Enter your data like Points (x,y). x can be the first Variable. Two points are plotted for you ( You may edit them based on your data )[br]or you create lists [br][b]Type ----     [/b]listA= {x1, x2, x3,……  x10}    x1, x2 are all x-values[br]Type------   listB= {y1,y2,y3,y4,…….y10}    y1, y2, y3 are y-values[br]Type------  ( listA, listB)    to see all the points as coordinates
[b]Step-3[/b][br]Use [b]FitPoly( )[/b] command in GeoGebra to [b]get the Graph through the points.[br][br]Linear Curve: [/b]FitLine( list of pairs of Coordinates)[br][b]Polybomial: FitPoly({A,B,C,D,E},n)[br][/b]n : degree of polynomial[br]if you are not sure what n should be, then [br]type FitPoly({A,B,C,D,E})[br][br]Now onwards: You may Answer the following questions on a paper as well. ( Choice is yours)
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Q1- Which type of function is best fit for your data plotted
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Q-2[br]Go to the GeoGebra applet and see what is your function, type here ( Use [i][b]fx [/b]to type in math)[/i]
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Q-3[br]See if you need to [b]control the function[/b] to make a perfect fit.
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Q-3[br]See if you need to [b]control the function[/b] to make a perfect fit.
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Q-4[br]Use your best fit function and make a prediction for any value of x (which is not in your collected data).[br]For example: if your x-values are from 4 to 15 then [b]predict for x= 20 ( which is out of the domain)[/b] [br]Please indicate both x and y values.
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Q-5[br]What do you think, your predicted value justifies your data or problem. Please explain
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Information: Math Modeling Task