Question
Homework. Secti 9.3 homework Save Score: 0 of 1 pt 8 of 10 (8 complete) HW...
Homework. Secti 9.3 homework Save Score: 0 of 1 pt 8 of 10 (8 complete) HW Score: 48.7296, 6.33 of 13 pts X9.3.27-T Assigned Media Question Help wy, Wut even years. URIBUUA BITUWIER 0 ALTRE VERIUT UT LUUU UW W wyrwy w UFUUUUU UUUUU Dyre country is 5,465 thousand barrels per day. The equation of the regression line is y-1.212x + 16,328.030 Oll produced, 5,789 5,699 5,608 5,431 5.200 5,054 5,007 Oil Imported, y 9.347 9.117 9,604 10,016 10,178 10,172 10,061 A. There is a 6% chance that the predicted amount of oil imported is between and thousand barrels, when there are 5.465 thousand barrels produced. B. We can be confident that when the amount of oil produced in 8.46 thousand barrels, the amount of oil imported will be between and u! Va More Click to select and enter your answerts) and then click Check Answer All parts showing Clear All Check Answer • Previous Next MacBook Air
Answers
We have to find the 95% prediction interval for y when x=5465.
We will use R software.
R software codes
>x=c(5789,5699,5608,5431,5200,5064,5007)
>y=c(9347,9117,9604,10016,10178,10172,10061)
>model=lm(y~x)
>newx=data.frame(x=5465)
>predict(model, newdata=newx, interval= 'prediction')
Data vectors x and y are created. lm() function is used to fit the equation of regression line. data.frame() function is used to include the new observation on x for which we want to obtain the prediction interval. predict() function is used to obtain prediction interval. Note that in R software 95% level is default hence there is no need to specify the level in predict() function.
R software output
95% prediction interval is interpreted as, we can be 95% confident that the for the value of x, the value of y lies in that interval. Observe the above output.
95% prediction interval is (9108.354, 10303.43) .
We can 95% confident that when the amount of oil produced is 5,465 barrels, the amount of oil imported will be between 9108.354 and 10303.43.
This answers your question. If you understood, please rate positively.
fit lwr upr 1 9705.891 9108.354 10303.43
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