Finding a Linear Equation and Regression Finding a Linear Equation Using the LINDEMO data as a Distance in meters from the motion detector vs Time in seconds.

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Presentation transcript:

Finding a Linear Equation and Regression Finding a Linear Equation Using the LINDEMO data as a Distance in meters from the motion detector vs Time in seconds graph. A ball was rolled away from a motion detector while data was being collected.

Finding a Linear Equation and Regression Finding a Linear Equation The graph of the LINDEMO data should appear similar to: To find a linear equation manually, use the trace to find two representative data points and record their values.

Finding a Linear Equation and Regression Finding a Linear Equation Use an algebraic method to find the slope. Use an algebraic method to find the y-intercept. m = m/s y= mx + b y - mx = b b = y - mx b = m m/s * 0.82 s b = m

Finding a Linear Equation and Regression Finding a Linear Equation Graph the equation with the function grapher. Write the mathematical model. D m = 0.55 m/s * T s m What does the mathematical model mean? The ball started 0.63 meters away from the motion detector and moved at a speed of 0.55 meters per second in a positive direction (away from the motion detector).

Finding a Linear Equation and Regression Finding a Linear Regression Press STAT, arrow over to CALC and choose LinReg. Press ENTER. Choose L1 followed by a comma. Choose L2 followed by a comma. Press VARS and arrow to Y-Vars. Press ENTER and choose a location to store the equation.

Finding a Linear Equation and Regression Finding a Linear Regression The Home screen should appear similar to: Press ENTER to find the regression equation. If DiagnosticOn is selected, correlation coefficients will also be displayed. Pressing the GRAPH button will display the graph of the data and the regression equation.

Finding a Linear Equation and Regression Finding a Linear Regression The regression equation is: Write the mathematical model and explain its meaning. D m = 0.55 m/s * T s m The ball started 0.63 m from the motion detector and is moving in a positive direction (away from the detector) with a speed of 0.55 m/s.