A sample correlation coefficient of 0.22 was found between outdoor temperatures and unexcused absences at a construction site.What can the HR director conclude?
A)48.4% of the absences can be predicted by the outdoor temperature
B)0.48% of the absences can be predicted by the outdoor temperature
C)0.22% of the absences can be predicted by the outdoor temperature
D)4.84% of the absences can be predicted by the outdoor temperature
E)22.0% of the absences can be predicted by the outdoor temperature

Question

Quizplus · Accepted Answer

The correlation coefficient of 0.22 indicates a weak positive correlation between outdoor temperatures and unexcused absences. The coefficient cannot be interpreted as a percentage, but instead represents the degree of linear relationship between the two variables. To estimate the percentage of absences that can be predicted by temperature, we would need additional information such as the slope of the regression line. However, we can say that approximately 4.84% of the variability in unexcused absences can be explained by outdoor temperatures.

A Sample Correlation Coefficient of 0