1. Students took two parts of a test, each worth 50 points. Part A has a variance of 25, and Part B has a variance of 49. The correlation between the test scores is 0.6. A) If the teacher adds the grades of the two parts together to form a final test grade, what would the variance of the final test grades be? B) What would the variance of Part A - Part B be? 2. Would you expect the correlation between High School GPA and College GPA to be higher when taken from your entire high school class or when taken from only the top 20 students? Why?
3. For the numbers 1, 3, 4, 6, and 12:
A. Find the value (v) for which Σ(X - v)2 is minimized.
B. Find the value (v) for which Σ|x - v| is minimized