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# 1.3 Mathematical Modeling - PowerPoint PPT Presentation

1.3 Mathematical Modeling. A real world problem described using mathematics Recognize real-world problem Collect data Plot data Construct model Explain and predict. Linear Regression. The process of finding a function that best fits the data points is called curve fitting .

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## PowerPoint Slideshow about ' 1.3 Mathematical Modeling' - ruth-johnston

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Presentation Transcript

• A real world problem described using mathematics

• Recognize real-world problem

• Collect data

• Plot data

• Construct model

• Explain and predict

• The process of finding a function that best fits the data points is called curve fitting.

• Curve fitting using linear functions is called linear regression.

• The first step is to enter the data into the calculator.

• Hit STAT and highlight 1:EDIT on the menu list.

• Press ENTER

• If data is in list, move cursor to highlight list name, press CLEAR followed by ENTER

• Enter the x values in L1 and the y values in L2.

• Press 2nd followed by Y=.

• Press ENTER.

• Move cursor to highlight On and press ENTER.

• Move cursor to highlight scatterplot, and press ENTER.

• Make sure the Xlist is L1 and the Ylist is L2.

• Standard viewing rectangle is [10,10] xscl=1 and [10,10] yscl=1

• Press WINDOW and enter new dimensions

• New window [0,30] xscl=3 and [0,20] yscl=2

• To view data points, press GRAPH

• Data points can be “fitted” by a straight line

• Each x tick mark represents 3 years

• Each y tick mark represents 2 million households

• Press STAT and highlight CALC

• Highlight 4:LinReg

• Press ENTER

• Press ENTER a second time

• Recall y=mx+bwhere m=slope and b=yint

• Note a=slope

• Press STAT, arrow over to CALC, and highlight 4:LinReg

• Press VARS, arrow over to Y-VARS and highlight 1:Function

• Press ENTER

Input into Y= Automatically

• Highlight 1:Y1 and press ENTER

• Press ENTER again

• Press GRAPH

• Use table feature to find prediction

• Press 2nd then WINDOW (TBLSET)

• Arrow down to change Independent to ASK

• Press 2ndGRAPH (TABLE)

• Enter 33 since 2003 is 33 years after 1970

• Press ENTER