The median home price and average mortgage rate in a certain country for 20062011 are given in following table.

Year	Median Price (in thousands of dollars)	Mortgage Rate (percent)
2006	221.9	6.58
2007	217.9	6.52
2008	196.6	6.15
2009	172.1	5.14
2010	173.1	4.89
2011	166.2	4.68

(b) Find the line of best fit. (Let x be in thousands of dollars. Round the coefficient of x to six decimal places and the constant to three decimal places.) = x + (c) Predict the average mortgage rate if the median price of a home is $200,000. (Round your answer to three decimal places.) % (d) Predict the median home price if the average mortgage rate is 5.25%. (Round your answer to the nearest thousand.) $ (e) Find the coefficient of correlation. (Round your answer to three decimal places.)