The U.S. Department of Labor publishes consumer price indexes (CPIs) on many commodities. Following are the percentage changes in the CPIs for food and for shelter for the years 2001 through 2018. Use these data to develop a linear regression model to forecast the percentage change in food CPIs by the percentage change in shelter CPIs. Compute a Durbin-Watson statistic to determine whether significant autocorrelation is present in the model. Let α = .05.

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Year Food Shelter Year Food Shelter 2001 3.2 3.7 1.5 0.4 2002 1.8 3-7 2011 4.7 1.9 2003 2.2 2.4 2012 1.8 2.2 2004 2.7 2.7 2013 2.6 2014 2015 0.8 2016 -0.2 2017 1.6 2005 2.3 2006 2.1 4.2 2010 2007 4.9 3.1 2008 5-9 1.9 1.1 2.5 3.4 2.9 3.2 3.6 3.2