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Statistical Probabilities and Distributions

Odd Solutions for Prob./Dist. Lesson 14

  1. Suppose you remember the trianglular numbers, but can't remember their formula. Enter the following values into L1: 1, 2, 3 and L2: 1, 3, 6. Now do a QuadReg L1,L2 using your TI-83+ calculator (STAT, CALC, 5) and interpret the results.

      Answer: y = ax2+bx+c     a=.5     b=.5
    which means: ½n(n+1)

  2. Suppose further you really couldn't remember if the relationship was quadratic. Try a CubicReg L1,L2 and interpret the results.

      Answer:

  3. Add an additional point onto the end of L1: 4 and L2: 10. Repreform the CubicReg L1,L2 and interpret the results.

      Answer: y = ax3+bx2+cx+d   a=d=0   b=.5   c=.5
    which means: ½n(n+1)

  4. Try the CubicReg L1,L2 with L1: 1, 2, 3, 4 and L2: 1, 5, 14, 30 (sums of squares) and interpret the results. Try to express your answer in an aesthetically pleasing form.

      Answer:

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