Finite Differences

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Finite Differences

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  1. Finite Differences

    Slide 1 - Finite Differences

  2. x

    Slide 2 - x

    • y
    • 1
    • 6
    • 2
    • 15
    • 3
    • 22
    • 4
    • 21
    • 5
    • 6
    • 6
    • -29
    • Equally Spaced x’s
    • 9
    • 7
    • -1
    • -15
    • -35
    • 1st Order
    • Linear
    • -2
    • -8
    • -14
    • -20
    • 2nd Order
    • Quadratic
    • -6
    • -6
    • -6
    • 3rd Order
    • Cubic
    • Find Order of Polynomial
  3. Find Equation of Polynomial

    Slide 3 - Find Equation of Polynomial

    • Input x & y values into 2 lists
    • Calculate our polynomial
    • STAT
    • Edit
    • 2nd
    • Quit
    • STAT
    • Right Arrow
    • Cubic Regression
  4. x

    Slide 4 - x

    • y
    • 10
    • 2
    • 15
    • 4.5
    • 20
    • 8
    • 25
    • 12.5
    • Equally Spaced x’s
    • 2.5
    • 3.5
    • 4.5
    • 1st Order
    • Linear
    • 1
    • 1
    • 2nd Order
    • Quadratic
    • Find the Polynomial
  5. x

    Slide 5 - x

    • y
    • 0
    • -168
    • 1
    • -60
    • 2
    • 0
    • 3
    • 6
    • 4
    • 0
    • 5
    • 72
    • 6
    • 360
    • Equally Spaced x’s
    • 108
    • 60
    • 6
    • -6
    • 72
    • 1st Order
    • Linear
    • -48
    • -54
    • -12
    • 78
    • 2nd Order
    • Quadratic
    • -6
    • 42
    • 90
    • 3rd Order
    • Cubic
    • Find the Polynomial
    • 288
    • 216
    • 138
    • 48
    • 48
    • 48
    • 4th Order
    • Quartic
  6. Try This!!!Use finite differences to identify the type of Polynomial.  Use regression to find an equation that best fits the data.:

    Slide 6 - Try This!!!Use finite differences to identify the type of Polynomial. Use regression to find an equation that best fits the data.:

    • X
    • Y
    • -3
    • 283
    • -2
    • 69
    • -1
    • 9
    • 0
    • 1
    • 1
    • -9
    • 2
    • -27
    • 3
    • -11
    • X
    • Y
    • -1
    • -6
    • 0
    • -5
    • 1
    • 2
    • 2
    • 15
    • 3
    • 34
    • 4
    • 59
    • 5
    • 90
    • X
    • Y
    • -4
    • 43
    • -3
    • 10
    • -2
    • -5
    • -1
    • -8
    • 0
    • -5
    • 1
    • -2
    • 2
    • -5