[REM 500] - Final Exam Guide - Comprehensive Notes for the exam (24 pages long!)

 A professor of statistics was interested in exploring a possible relation between student’s performance on the final exam (pass or fail) and their attendance at the final review session. Of the 200 students enrolled in the class, eighty attended the final review session. Sixty of the students who attended the final review passed the final exam and fifty of those who did NOT attend the review passed the final exam. Is there evidence for a difference between the two groups in terms of their performance on the final exam? 

In a large class, there were 274 students who wrote both the midterm and the final exam. The standard deviation of the midterm grades was 13, and that of the final exam was 16. The correlation between the grades on the midterm and the final was 0.6.

Based on the least squares regression line fitted to the data of the 274 students, if a student scored 19 points below the mean on the midterm, then how many points below the mean on the final would you predict her final exam grade to be?

The predicted final exam grade is  below the mean on the final. (Round your answer to one decimal place, but do not round in intermediate steps.)

A student receives test scores of 62, 83, and 91. The student's final exam score is 88 and homework score is 76. Each test is worth 20% of the final grade, the final exam is 25% of the final grade, and the homework grade is 15% of the final grade. What is the student's mean score in the class? (Hint: find the weighted mean)