Stats, Statistics, Math

A Statistics professor assigned 10 quizzes over the course of the semester. He wanted to see if there was a relationship between the total mark of all 10 quizzes and the final exam mark. There were 229 students who completed all the quizzes and wrote the final exam. The standard deviation of the total quiz marks was 13, and that of the final exam was 18. The correlation between the total quiz mark and the final exam was 0.7.

Based on the least squares regression line fitted to the data of the 229 students, if a student scored 23 points above the mean of total quiz marks, then how many points above the mean on the final would you predict her final exam grade to be? (Round your answer to one decimal place, but do not round in intermediate steps)

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