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EDRM611: Applied Statistics

Homework for Statistics Lesson 5

Answer Completely.
 
Some calculations are required.
Due Tue., July 19, 2005, 10:30:00.000, EDT.
 
Due on the teacher's desk in BH114.
  1. (5 points) Complete the following table of x ranks, d, d2, xy, x2, and y2 values.

    page 4 (x)Total (y)x ranky rankdd2 xy x2 y2
    27 110   1         12100
    20 107   2         11449
    20 100   3         10000
    16 96   4         9216
    12 89   5         7921
    11 78   6         6084
    13 67   7         4489
    7 66   8         4356
    1 49   9         2401
    --- --- ----- ---- ----- ----- ----
      762:sums: 0       68016

  2. (3 points) Complete the appropriate column sums for the table above.

     

  3. Compute the Spearman rho correlation coefficient for the table above, showing your work.

     

  4. Compute the Pearson product moment correlation coefficient for the table above, using the raw score formula, showing your work.

     

  5. (5 bonus points) Compute the Pearson product moment correlation coefficient for the table above, using the deviation score formula, showing your work. A repeat of the table above is included for your convenience. The rank columns have been removed, the d and d2 and other columns have been relabeled so it can be used like Table 5.3.

    page 4 (x)Total (y)dev xdev y dev xy (dev x)2 (dev y)2
    27 110          
    20 107          
    20 100          
    16 96          
    12 89          
    11 78          
    13 67          
    7 66          
    1 49          
    --- --- ----- ----- ----
      762:sums:     

  6. (2 bonus points) Compute the Pearson product moment correlation coefficient for the table above, using the covariance formula, showing your work.

     

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