The data in the table describe rug and carpeting shipments ($ billions) and the number of housing starts (millions) over a 6-year time period.

a. Determine the least-squares regression line for predicting rugs and carpeting shipments on the basis of housing starts.
b. Determine and interpret the coefficients of correlation and determination.

c. If there were 1.4 million housing starts in a year, what would be the prediction for rugs and carpeting shipments during that year?

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Year 1992 1993 1994 1995 1996 1997 Rugs and Carpeting Shipped ($Billions) Housing Starts (Millions) 8.75 9.28 9.53 9.77 10.15 10.26 1.20 1.29 1.46 1.35 1.48 1.47