Consider the position that a volleyball player plays. In a general sense a player can be defined as playing Libero blocker, hitter or setter. VIU awards scholarships to its volleyball players based on experience (how many years a student has been playing) and position. You wish to examine the relationship between scholarship amount (in ) and two independent variables, experience and position. You create a categorical variable Position that is equal to if the player is a Libero, 1 if the player is a blocker, 2 if the player is hitter and 3 if the player is a setter Your estimated regression based on 50 VIU volleyball players is: overline

Scholarship =6400+800 Experience+240Position (54) (120) (180 )

-Interpret the equation fully Controlling for experience,

-does scholarship differ across positions? Show your work