The following table gives the crude oil production of a certain country, in bill

Question

The following table gives the crude oil production of a certain country, in billions of barrels, for the years from 2010 projected to 2030. Complete parts (a) through (f) Year 2010 2014 2018 2022 2026 2030 Billions of Barrels 1.93 2.09 2.16 2.23 2.26 2.27 a. Graph a scatter plot of the data, with x equal to the number of years after 2000 and y equal to the number of billions of barrels of crude oil Choose the correct graph below OA. [0,40,5] x [0,3,0.2] [0,40,5] x [0,3,0.2] [0,40,5] x [0,3,0.2] [0,40,5] x [0,3,0.2] b. Find equal to the number of billions of barrels of crude oil the power function that models the data, with x equal to the number of years after 2000 and y (Type an equation. Use integers or decimals rounded to three decimal places as needed for any numbers in the equation.)

Explanation / Answer

Notice that over the years, the production is continuously increasing.
From 1.93 to 2.09 to 2.16 to 2.23 to 2.26 to 2.27

So, the graph is C

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b)

Go to xuru.org ---> regression tools ---> power regression
(10 , 1.93)
(14 , 2.09)
(18, 2.16)
(22 , 2.23)
(26 , 2.26)
(30 , 2.27)

I get y = 1.396 * x^(0.148) ---> ANS

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