The table shows the amounts of crude oil (in thousands of barrels per day) produced by a certain country and the amounts of crude oil (in thousands of barrels per day) imported by the same country for seven years. The equation of the regression line is y = - 1.140x+ 15,960.58. Complete parts (a) and (b) below. Produced, x Imported, y 5,815 5,734 5,602| 5,426 5,230 5,116 5,005 9,335 9,129 9,642|10,085 10,154 10,121 10,004 (a) Find the coefficient of determination and interpret the result. %3D (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? The fraction of the variation in the amount of imported crude oil that can be explained by the variation in the amount of produced crude oil is r. The remaining fraction 1-2 of the variation is unexplained and is due to other factors or to sampling error. (b) Find the standard error of estimate s, and interpret the result. Se thousands of barrels per day (Round to three decimal places as needed.) How can the standard error of estimate be interpreted? The standard error of estimate of the amount of imported crude oil for any amount of produced crude oil is about s. thousand of barrels per year.

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The table shows the amounts of crude oil (in thousands of barrels per day) produced by a certain
country and the amounts of crude oil (in thousands of barrels per day) imported by the same country for
seven years. The equation of the regression line is y = - 1.140x + 15,960.58. Complete parts (a) and (b)
below.
Produced, x
5,815 5,734 5,602 5,426 5,230 5,116 5,005
9,335 9,129 9,642 10,085 10,154 10,121 10,004
Imported, y
(a) Find the coefficient of determination and interpret the result.
%D
(Round to three decimal places as needed.)
How can the coefficient of determination be interpreted?
The fraction of the variation in the amount of imported crude oil that can be explained by the
variation in the amount of produced crude oil is r.
The remaining fraction 1-r of the
variation is unexplained and is due to other factors or to sampling error.
(b) Find the standard error of estimate s. and interpret the result.
thousands of barrels per day
%D
(Round to three decimal places as needed.)
How can the standard error of estimate be interpreted?
The standard error of estimate of the amount of imported crude oil for
any amount
of produced crude oil is about s.
thousand of barrels per year.
Transcribed Image Text:The table shows the amounts of crude oil (in thousands of barrels per day) produced by a certain country and the amounts of crude oil (in thousands of barrels per day) imported by the same country for seven years. The equation of the regression line is y = - 1.140x + 15,960.58. Complete parts (a) and (b) below. Produced, x 5,815 5,734 5,602 5,426 5,230 5,116 5,005 9,335 9,129 9,642 10,085 10,154 10,121 10,004 Imported, y (a) Find the coefficient of determination and interpret the result. %D (Round to three decimal places as needed.) How can the coefficient of determination be interpreted? The fraction of the variation in the amount of imported crude oil that can be explained by the variation in the amount of produced crude oil is r. The remaining fraction 1-r of the variation is unexplained and is due to other factors or to sampling error. (b) Find the standard error of estimate s. and interpret the result. thousands of barrels per day %D (Round to three decimal places as needed.) How can the standard error of estimate be interpreted? The standard error of estimate of the amount of imported crude oil for any amount of produced crude oil is about s. thousand of barrels per year.
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