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Statistical Probabilities and Distributions

Homework for Prob./Dist. Lesson 14

  1. Suppose you remember the triangular 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 (rewrite the formula in standard form).

     

     

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

     

     

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

     

     

  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 (i.e. fractions not decimal fractions).

     

     

  5. Question one can be done by solving three equations in three unknowns. Specifically, let ax2 + bx +c = y. Then substitute each value of x and equate it to the corresponding y value. Solve these three equations manually by elimination (due to the regular spacing first c, then b eliminate easily).

     

     

  6. Solve the above equations using your calculator, either using augmented or inverse matrices. Record the pertinent keystrokes here.

     

     

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