Professor Dave cares deeply about his students' success. He likes to give good and precise advice. He knows that studying more results in better exam scores, but he wonders about the relationship between average hours studied per week and average course score for his MBA students. He bribed his past students into answering the question "How many hours, on average, did you spend studying for D&D in throughout the course?" The response rate was 97%! Dave looks at historical data for the students that responded and notes that their average grade in D&D was 84%. The standard deviation of scores was 18%. He also learns from the survey that the average student studied 4.2 hours per week with a standard deviation of 2.1 hours. The correlation coefficient between the two variables is 0.42.

1. What is the slope coefficient b1 of a regression of average course score on hours studied? What does this coefficient mean in words?
2. What is the intercept bo? What does this coefficient mean in words?
3. If we took this regression seriously, how many hours would a student (on average) have to study per week to get 100% in the course?