Long description

A table of payroll and number of workers compensation claims by year has the following values.

Year Payroll in thousands of dollars Workers compensation claims
2001 400 18
2002 520 26
2003 710 48
2004 840 96
2005 1,200 110
2006 1,500 150
2007 1,630 228
2008 1,980 250
2009 2,300 260
2010 2,900 300
2011 3,400 325
2012 4,000 412

The regression results: Y equals negative 6.1413 plus 0.1074 X, R squared equals 0.9519. Predicted number of claims next year, if the payroll is 4.8 million dollars: y equals negative 6.1413 plus (0.1074 times 4,800), y equals 509.38. The graph of claims by payroll in millions of dollars rises from left to right.

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