Answer
(a) See the image below for the scatter plot. The linear model is appropriate for the data.
(b) The graph is shown on the image below. The linear equation is :$y=1117x+60188$
(c) In $2002$, it is estimated that there was an oil consumption of $79177$ thousand
barrels per day and in $2012$, $90347$ thousand barrels per day.
Work Step by Step
(a) See the image for the scatter plot. The linear model is appropriate for the data, as the data makes almost a straight line.
(b) Using the data provided and a regression line calculator, we will get the following:
$m=1117$
$b=60188$
So we have the linear equation: $y=1117x+60188$
(c) In our equation, $x$ stands for years passed since $1985$ and inputting the value gives us $y$, which is oil consumption per day.
For year $2002$; $x=2002-1985=17$
$y=1117\times17 + 60188$
$y=79177$
So in 2002, it is estimated that there was an oil consumption of $79177$ thousand barrels per day.
For year $2012$; $x=2012-1989=27$
$y=1117\times27 + 60188$
$y=90347$
And in 2012 it is estimated that there was an oil consumption of $90347$ thousand barrels per day.
