2. A researcher discovered a significant correlation between student study hours and GPA and wants to...
2. A researcher discovered a significant correlation between student study hours and GPA and wants to see if work hours is a third variable that explains this observed correlation.
a. What is the strength and direction of the correlation coefficients below? Explain while mentioning both variables)
X = Study Hours Y = GPA Z = Work Hours
rXY = .274
rXZ = -.304
rYZ = -.380
Homework Answers
A researchers discovered a significant correlation between
Students study hours and GPA and wants to see if work ho is our third variable that explains this obssrved correlation
a) what is strength and direction of the correlation coefficient below.
X : study hours
Y :GPA
Z : Work
rXY =0.274
It is positive correlation relationship between X and Y
Strength is weak that is less than 0.50 and direction is positive. Here as X increases Y also increases.
rXZ = - 0.304
It is negative correlation relationship between X and Z Strength is weak that is less than 0.5 and direction is negative as X increases Z decreases or vice versa
Similarly
rYZ = - 0.380
It is negative relationship between Y and Z strength is weak that is less than 0.5 and direction is negative as Y increases Z decreases or vice versa.
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