Suppose you are given the following data involving weekly sales and test scores supposedly designed to pick out the "best" salespersons. Salesperson Test Score (x) Weekly Sales (y)-in thou. of dollars 1. Mr. Amber 4 $6 2. Mr. Archer 2 $12 3. Ms. Smith 3 $4 4. Mr. Malcolm 6 $8 5. Ms. Goodwin 10 $11 Calculate the correlation coefficient, r. Calculate the coefficient of determination, r2; of non determination. Interpret them. Suppose you wish to test for the significance of r, the correlation coefficient, in problem 2a, given that n=5. Using the .01 level of significance, test the hypothesis that r is not different from 0 versusthe hypothesis that r is different from 0 (remember r can be between -1 and +1) in the population. Do you accept or reject the null hypothesis?
Suppose you are given the following data involving weekly sales and test scores supposedly designed to pick out the "best" salespersons.
|
|
Salesperson |
Test Score (x) |
Weekly Sales (y)-in thou. of dollars |
|
1. |
Mr. Amber |
4 |
$6 |
|
2. |
Mr. Archer |
2 |
$12 |
|
3. |
Ms. Smith |
3 |
$4 |
|
4. |
Mr. Malcolm |
6 |
$8 |
|
5. |
Ms. Goodwin |
10 |
$11 |
Calculate the
Suppose you wish to test for the significance of r, the correlation coefficient, in problem 2a, given that n=5. Using the .01 level of significance, test the hypothesis that r is not different from 0 versusthe hypothesis that r is different from 0 (remember r can be between -1 and +1) in the population. Do you accept or reject the null hypothesis?
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