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Fitting Exponentials and Polynomials to Data

Fitting Exponentials and Polynomials to Data. Lesson 9.7. Linear Regression. Used in section 1.6 to find equation for a line of best fit Used in section 4.4 to find equations of logarithmic models Other types of regression are available. Problem … Which Regression?.

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Fitting Exponentials and Polynomials to Data

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  1. Fitting Exponentials and Polynomials to Data Lesson 9.7

  2. Linear Regression • Used in section 1.6 to find equation for a line of best fit • Used in section 4.4 to find equations of logarithmic models • Other types of regression are available

  3. Problem … Which Regression? • Not always obvious which type of regression to use • Consider the lobster catch (in millions of lbs.) in the last 30 some years • Enter into Data Matrix

  4. Viewing the Data Points • Specify the plot F2, • X's from C1, Y's from C2 • View thegraph • Check Y= screen, use Zoom-Data

  5. Which Regression? • The graph could suggest different modeling functions • To find a modeling function which includes the third point makes us think of a polynomial function • To let that point be off the modeling line, it could be a power function or an exponential

  6. Try Different Regressions • Try for a quadratic function • Try for powerfunction

  7. Try Different Regressions • Try for 4th degreepolynomial

  8. Try Different Regressions • What about exponentialregression?

  9. Which is Best? • Issues • Which best fits data? • Which gives best predictions for years of given data? • Which gives best predictions for future? • Might there be one that gives us an idea of what was done in the past (where we have no records)?

  10. Other Technology Tools • Excel will also do regression • Plot data as (x,y) ordered pairs • Right click on data series • Choose Add Trend Line

  11. Other Technology Tools • Use dialog box to specify regression Try Others

  12. Assignment • Lesson 9.7 • Page 418 • Exercises3, 5, 9, 11, 13

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