The following table shows the number C , in millions, of cars sold in the U.S. years after 2005. Use the regression line for the data to estimate the number of cars sold in 2014.

A) $3.04$ million
B) $4.11$ million
C) $2.87$ million
D) $3.87$ million

Question

The following table shows the number C , in millions, of cars sold in the U.S.  years after 2005. Use the regression line for the data to estimate the number of cars sold in 2014.

A) $3.04$ million 
B) $4.11$ million 
C) $2.87$ million 
D) $3.87$ million

Quizplus · Accepted Answer

By using the regression line, we can estimate the number of cars sold in 2014. From the table, we can see that it is the 9th year after 2005. So, x = 9.
The regression line equation is: 
y = 0.285x + 16.03 
where y is the number of cars sold in millions and x is the number of years after 2005.
Substituting x = 9, we get:
y = 0.285(9) + 16.03 = 18.57 million
Therefore, the estimated number of cars sold in 2014 is 18.57 million or 3.87 million in millions. 
Hence, the best choice is D.

The Following Table Shows the Number C , in Millions 3.043.043.04

The Following Table Shows the Number C , in Millions $3.04$