The table below shows the gross domestic product at 2012 constant prices (in $ millions) of consumer durables and nondurables in Canada. Is there a linear relationship between the shipments of durables and nondurables? In other words, if we know the value of nondurables shipped in any one year, can we predict the value of durables during that year? According to the model, if in any given year the nondurables shipment is $260,000 million, what would the predicted amount for durables shipment be for the same year? Construct a confidence interval for the average y value for $260,000 million. Use the t statistic to determine whether the slope is significantly different from zero. Use α = 0.05.

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Gross Domestic Product at 2012 Constant Prices ($ millions) Nondurable Goods Year 2003 2004 2005 2006 2007 2008 219,664 224,188 227,454 231,389 238,352 242,055 Durable Goods 86,793 89,100 93,512 100,148 107,100 112,799