Determine the least- squares regression line
The following data show U.S. production of motorvehicles versus tons of domestic steel shipped for motor vehiclemanufacture.
x=U.S.Production y=Tons of
Year of MotorVehicles DomesticSteel
2000 12.83 16.06
2001 11.52 14.06
2002 12.33 14.00
2003 12.15 15.88
2004 12.02 13.86
a. Determine the least- squares regressionline and calculate r.
b. What proportion of the variabilityin steel shipments for motor vehicles is explained by theregression equation?
c. During a year in which U.S. productionof motor vehicles is 12.0 million,what would be the prediction forthe number of tons of domestic steel used for vehicle production?
