Correlation
A statistics professor held the belief that there was a strong positive relationship between a student’s scores on
his or her first and second exams. Over many years of teaching it appeared that there was a consistent pattern
– those who did well on the first exam also did well on the second. She wished to quantify the relationship in
terms of strength and direction. Since the professor sought to describe this relationship between variables
measured as the scale level she decided to use the Pearson’s R correlation coefficient.
Answer the following questions and explain
Are the assumptions met? (Show Graphs and Tables and explain your answers)
Assumption of Linearity (correlate first midterm test with second midterm exam)
Assumption of Normality
Assumption of Outliers
Is the Correlation test significant?
Is the effect size small, medium, or large?
Interpret the test.
Provide Results for the test