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Math III Accelerated

Math III Accelerated. Chapter 11 Data Analysis and Statistics. Warm Up 11.5. Find the value of y if x = 15. 11.5 Modeling Two-Variable Data. Objective: Create regression equations for data. Types of Functions. We use different types of functions to model data.

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Math III Accelerated

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  1. Math III Accelerated Chapter 11 Data Analysis and Statistics

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

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

  4. 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.

  5. 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

  6. 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.

  7. Checkpoint 1 • Write a linear regression equation to model this data.

  8. 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

  9. Checkpoint 2 • Write an exponential regression equation to model this data.

  10. 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

  11. Checkpoint 3 • Write an quadratic regression equation to model this data.

  12. Homework 11.5 • Practice 11.5

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