Q1) Following data illustrates U. S. production of motor vehicles versus tons of domestic steel shipped for motor vehicle manufacture.
|
year
|
x= US PRODUCTION OF MOTOR VECHILES
|
Y= TONS OF DOMESTIC STEEL
|
|
2000
|
12.83 MILLION
|
16.06 MILLION
|
|
2001
|
11.52
|
14.06
|
|
2002
|
12.33
|
14
|
|
2003
|
12.15
|
15.88
|
|
2004
|
12.02
|
13.86
|
i) Find out the least-squares regression line and calculate r.
ii) What proportion of the variability in steel shipments for motor vehicles is described by regression equation?
iii) In a year in which U. S. production of motor vehicles is 12.0 million, what would be prediction for number of tons of domestic steel used for vehicle production?