As the following table shows, projections indicate that the percent of U.S. adults with diabetes could...

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Statistics

As the following table shows, projections indicate that thepercent of U.S. adults with diabetes could dramaticallyincrease.
(a) Find the logarithmic model that best fits the data in thetable, with t as the number of years after 2000. (Round eachcoefficient to three places after the decimal.) D(t) = (b) Use themodel to predict the percent of U.S. adults with diabetes in 2042.US adults with Year Diabetes (percentage) (
2010 14.2
2015 19.2
2020 21.1
2025 24.2
2030 27.7
2035 30.1
2040 31.2
2045 32.1
2050 33.4

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3.8 Ratings (744 Votes)

Let t denote the number of years after 2000 is t Year 2000 The response variable y denotes the percentage of US adults with Diabetes a To the above data we fit the following logarithmic regression model y b logt e where b is the See Answer

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2010	14.2
2015	19.2
2020	21.1
2025	24.2
2030	27.7
2035	30.1
2040	31.2
2045	32.1
2050	33.4