Question

QUESTION 1

1. Pearson’s Product-Moment Correlation Coefficient

   1. Given the following table answer the questions.

                             Score

   Respondent          X            Y         x-x       (x-x) ²         y-y      ( y-y) ²     ( x-x) ( y-y)

   A. Rose                 18          92   

   B. Bush                 36          65    

   C. Novicevic         24          91

   D. Vitell               28          85                                                                       

   E. Walker              25          70

   a. Calculate Pearson’s Product Movement Correlation Coefficient (r). (2 points)

   b. Based on the correlation coefficient which you calculated, in two words how would you describe the relationship between the two variables in the “test”? (2 points)

   2. PHR Score

                             Score

   Respondent       X             Y         x-x       (x-x) ²         y-y      ( y-y) ²     ( x-x) ( y-y)

   A. Selber           96            92

   B. Franklin         56            65

   C. Nichols          84            91   

   D. Vitello          88            85

   E. Grado            72            70

   a. Calculate Pearson’s Product Movement Correlation Coefficient (r). ( 2points)

   b. Based on the correlation coefficient which you calculated, in two words how would you describe the relationship between the two variables in the “test”? (2 points)

   3. Which of the two “tests” above would you choose? Why? (2 points)

Answer 1

1. a) From the given data

b) Test for correlation coefficient;

Thus we conclude that there exist linear relation between X and Y

2) a) From the given data

b) Test for correlation coefficient:

Thus we conclude that there exist linear relation between X and Y