According to the article “First-Year Academic Success: A Prediction Combining Cognitive and Psychosocial Variables for Caucasian and African American Students” (Journal of College Student Development [1999]: 599– 605), there is a mild correlation between high school GPA (x) and first-year college GPA (y). The data can be summarized as follows:

An alternative formula for computing the correlation coefficient that is based on raw data and is algebraically equivalent to the one given in the text is

Use this formula to compute the value of the correlation coefficient, and interpret this value.

Transcribed Image Text:

η = 2600 Σ xy = 27,918 Σ x = 9620 Στ΄- = 36,168 Σ y = 7436 Σv = 23,145