Math III Accelerated Chapter 11 Data Analysis and Statistics 1.

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Presentation transcript:

Math III Accelerated Chapter 11 Data Analysis and Statistics 1

Warm Up 11.5  Find the value of y if x = 15. 2

11.5 Modeling Two-Variable Data  Objective:  Create regression equations for data. 3

Types of Functions  We use different types of functions to model data.  Given a set of ( x, y ) points, we will use the graphing calculator to create a modeling equation. 4 FunctionGeneral Form Linear y = ax + b Quadratic y = ax 2 + bx + c Cubic y = ax 3 + bx 2 + cx + d Exponential y = ab x Power y = ax b

Example 1  The table shows the teacher’s salary y (in dollars) for x years of teaching experience. Write a linear regression equation to model this data.  Enter data into L1 and L2.  Select “4:LinReg” from the STAT CALC menu.  Command: LinReg (ax + b) L1, L2 5 xy 130, , , , , , ,098

Create a Scatter Plot from ( x, y ) Data  Enter data into L1 and L2.  Select “4:LinReg” from the STAT CALC menu.  Command: LinReg (ax + b) L1, L2, Y1  Use STAT PLOT to configure the graph.  Set WINDOW based on data values.  GRAPH. 6

Checkpoint 1  Write a linear regression equation to model this data. 7 x y

Example 2  The table shows a deer population y counted x years after a hunting ban began. Write an exponential regression equation for this data.  Enter data into L1 and L2.  Select “0:ExpReg” from the STAT CALC menu.  Command: ExpReg L1, L2 8 xy

Checkpoint 2  Write an exponential regression equation to model this data. 9 x y

Example 3  The table shows the number of people y who rode a roller coaster x hours after an amusement park opened. Write a quadratic regression equation to model this data.  Enter data into L1 and L2.  Select “5:QuadReg” from the STAT CALC menu.  Command: QuadReg L1, L2 10 xy

Checkpoint 3  Write an quadratic regression equation to model this data. 11 x y

Homework 11.5  Practice