Assignment:
The following data show U.S. production of motor vehicles versus tons of domestic steel shipped for motor vehicle manufacture.
|
Year
|
x = U.S. Production of Motor Vehicles
|
y = Tons of Domestic Steel
|
|
2000
|
12.83 million
|
16.06 million
|
|
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 regression line and calculate r.
b. What proportion of the variability in steel shipments for motor vehicles is explained by the regression equation?
c. During a year in which U.S. production of motor vehicles is 12.0 million, what would be the prediction for the number of tons of domestic steel used for vehicle production?
Provide complete and step by step solution for the question and show calculations and use formulas.