Sharp EL-9600 manual Other Regressions

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Chapter nine

OTHER REGRESSIONS

AND MODEL OF “BEST FIT”

Introducing the Topic

In this chapter, you and your students will learn how to use the Sharp graphing calculator to find several regression equations for a set of data points and then determine the model of "best fit." A regression equation is a model of the relationship between the dependent variable Y and the independent variable X. Other regression models include y = ax 2 + bx + c (quadratic), y = ax 3 + bx 2 + cx + d (cubic), y = ax4 + bx 3 + cx 2 + dx + e (quartic), y = a + b ln x (natural logarithm), y = a + b log x (common logarithm), y = a*bx (exponential), y = a*ebX (natural exponential), y = a + bx-1(inverse), and Y = a*Xb (power). The a, b, c, d and e are calculated for each model in order to find the best-fitting curve (minimized error).

A third value, r 2, is calculated for each regression and is a measure of how well the equation fits the data points, and it will range from 0 to 1. If r 2 = 1, then the equation intersects all the data points, and the model is said to have perfect fit. Values of r 2 close to 1 are said to reflect a good fit, and values close to 0 are said to reflect a poor fit.

44Other Regressions and Model of “Best Fit”/STATISTICS USING THE SHARP EL-9600

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Contents Sharp E L 9 6 0 Statistics Ii Statistics Using the Sharp EL-9600 Contents Creation of a Page Stat EnterList Method of Teaching For Discussion Chapter two 1Stats Method of Teaching Using Blackline Master Additional Problems Chapter three Enter Page Save this data set by pressing 2ndF For Discussion Chapter four Enter DEL Trace QuitStat Plot Enter Enter 2ndF Chapter five Touch a Edit List , touch To enter the statistics menu For Discussion Chapter six Page Page 2Stats. Press Page Find the numerical descriptions of the following data sets Chapter seven DEL Enter Source U.S. Environmental Protection Agency For Discussion MathAdditional Problems Page Linear Regressions Linear Regressions/STATISTICS Using the Sharp EL-9600 Linear Regressions/STATISTICS Using the Sharp EL-9600 Method of Teaching Scattr Additional Problems Other Regressions Touch D REG, touch On the screen, double touch 10 Rgaebx, Method of Teaching Using Blackline Master Additional Problem Statistical Tests Statistical Tests/STATISTICS Using the Sharp EL-9600 Method of Teaching Using Blackline Master Statistical Tests/STATISTICS Using the Sharp EL-9600 For Discussion Contents Reproducible Blackline Masters Steps for creating a non-weighted one-variable data set Creation of a ONE-VARIABLE Data SETSteps for creating a weighted one-variable data set Double touch 1 StoLD, pressActivity 1 Creating a non-weighted one-variable data set Activity 2 Creating a weighted one-variable data setONE-VARIABLE Data SET Numerical Description of a ONE-VARIABLE Data SET Numerical Description of a ONE-VARIABLE Data SET Numerical Description of a ONE-VARIABLE Data SET Steps for creating a non-weighted data sets histogram To view the histogram, press GraphSteps for creating a weighted data sets histogram Activity 1 Creating a non-weighted data sets histogram Activity 2 Creating a weighted data sets histogramOther Graphical Portrayals of a Stat Plot ONE-VARIABLE Data SET Steps for creating a non-weighted two-variable data set Creation of a TWO-VARIABLE Data SETSteps for creating a weighted two-variable data set Activity 1 Creating a non-weighted two-variable data set Activity 2 Creating a weighted two-variable data setNumerical Description TWO-VARIABLE Data SET Quit Stat Numerical Description TWO-VARIABLE Data SET Graphical Portrayal TWO-VARIABLE Data SET ZoomDrawing a scatter diagram of a two-variable data set Graphic Portryal of a TWO-VARIABLE Data SETGraphical Portrayal TWO-VARIABLE Data SET Access the data entry screen and delete the old data set Graphic Portrayal TWO-VARIABLE Data SETLinear Regressions Steps for calculating the best-fitting lineGraph Access the data entry screen and delete old data Calculating the best-fitting lineActivity 1 Calculate and plot the regression line Activity 2 Calculate and plot the regression lineOther Regressions Steps for calculating other regression modelsOther Regressions Model of Best FIT Model of best fitActivity 2 Calculate the power regression model Activity 4 Which regression model fits the best? Statistical Tests EXE 10.3 Keypad for Sharp EL-9600 Graphing CalculatorSolutions to Selected Activities Answer Key/STATISTICS Using the Sharp EL-9600 Teaching Notes

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