The adjacent table gives the number of worldwide Internet us
The adjacent table gives the number of worldwide Internet users, in millions. Complete parts (a) through (c) (a) Find the cubic function that is the best fit for the data, with y equal to the number of millions of users and x equal to the number of years from 1990 y = (Use integers or decimals for any numbers in the expression Round to three decimal places as needed.) (b) Use the model to predict the number of users in 2013. The number of users in 2013 will be approximately million (Round to the nearest whole number as needed.) (c) Compare the graphs of the data and the model to determine if the model is a good or poor fit for the data. Good Fit Poor Fit
Solution
xuru.org ----> regression tools ---> polynomial regression
At this step, change the degree to 3
for cubic regression
Enter the coordinates as :
(5,18)
(6,32)
(7,72)
(8,181)
(9,290)
(10,342)
(11,518)
(12,587)
(13,718)
(14,823)
(15,1011)
(16,1093)
(17,1231)
I get :
-0.409x^3 + 17.282x^2 - 115.174x + 198.879 ---> ANSWER
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b)
In 2013,
t = 2013 - 1990 = 23
So plug in 23....
-0.409(23)^3 + 17.282(23)^2 - 115.174(23) + 198.879
1716 -----> ANSWER
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c)
Good fit
