Please use D2L to turn in both the HTML output and your R Markdown file in.

Q1. (30 pts)

Use a dataset containing baseball batting averages and fit a hierarchical model with the groups as the player positions. Your goal is to model batting averages of the players and assess the differences between the player positions in this dataset.

BattingAverage <- read.csv('http://math.montana.edu/ahoegh/teaching/stat491/data/BattingAverage.csv')
head(BattingAverage)
##          Player     PriPos Hits AtBats PlayerNumber PriPosNumber
## 1 Fernando Abad    Pitcher    1      7            1            1
## 2   Bobby Abreu Left Field   53    219            2            7
## 3    Tony Abreu   2nd Base   18     70            3            4
## 4 Dustin Ackley   2nd Base  137    607            4            4
## 5    Matt Adams   1st Base   21     86            5            3
## 6 Nathan Adcock    Pitcher    0      1            6            1

Assume this is an analysis you have been asked to perform as part of a job interview. Write a 1-2 page summary of your analysis using R Markdown. This should include an introduction and conclusion.