* please show all work*

Year ERA

2006 4.52

2007 4.46

2008 4.32

2009 4.31

2010 4.07

2011 3.94

a) What pitcher ERA is estimated by the model for the year 2014? How does the estimate compare to the actual average ERA that year of 3.74? Write a complete sentence.

b) Write (including units) and interpret the slope of the contextual model. Write a complete sentence.

c) Write (as an ordered pair and including units) and interpret the vertical intercept of the contextual model. Write a complete sentence.

d) Find and interpret the horizontal intercept. Write a complete sentence. Explain why intercept does not make sense.

e) Find a contextual domain and range for the model. Justify.

f) Find the inverse of the model and explain what it does in a complete sentence.