Suppose you are given the following data involving weekly sales and test scores supposedly designed to pick out the “best" salespersons. Weekly Sales (y)-in thou. of dollars $6 $12 Salesperson Test Score (x) 1. Mr. Amber 4 2. Mr. Archer 2 3. Ms. Smith 3 $4 4. Mr. Malcolm $8 5. Ms. Goodwin 10 $11 Calculate the correlation coefficient, r. Calculate the coefficient of determination, r; of non determination. Interpret them. Suppose you wish to test for the significance of r, the correlation coefficient, in problem 7a, 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
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Suppose you are given the following data involving weekly sales and test scores
supposedly designed to pick out the “best" salespersons.
Weekly Sales (y)-in thou. of dollars
$6
$12
Salesperson
Test Score (x)
1.
Mr. Amber
4
2.
Mr. Archer
2
3.
Ms. Smith
3
$4
4.
Mr. Malcolm
$8
5.
Ms. Goodwin
10
$11
Calculate the correlation coefficient, r. Calculate the coefficient of determination, r; of
non determination. Interpret them.
Suppose you wish to test for the significance of r, the correlation coefficient, in problem
7a, 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?
Transcribed Image Text:Suppose you are given the following data involving weekly sales and test scores supposedly designed to pick out the “best" salespersons. Weekly Sales (y)-in thou. of dollars $6 $12 Salesperson Test Score (x) 1. Mr. Amber 4 2. Mr. Archer 2 3. Ms. Smith 3 $4 4. Mr. Malcolm $8 5. Ms. Goodwin 10 $11 Calculate the correlation coefficient, r. Calculate the coefficient of determination, r; of non determination. Interpret them. Suppose you wish to test for the significance of r, the correlation coefficient, in problem 7a, 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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