The annual expenditures for Medicare (in billions of dollars) by the US Government for selected years since 1980 are shown in Table 4. Let x represent the years since 1980. (Use 4 decimal places in all answers.) Table 4: Medicare Expenditures Year Billion $ 1980 37 1985 72 1990 111 1995 181 2000 197 2005 330 A. Find the exponential regression model for the data. M(x) =        B. What is the r2 value for this model? r2 =        C. Extimate (to the nearest billion) the expenditures in 2008? The Medicare expenditures in 2008 were about $         billion.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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(Medicare). The annual expenditures for Medicare (in billions of dollars) by the US Government for selected years since 1980 are shown in Table 4. Let x represent the years since 1980. (Use 4 decimal places in all answers.)

Table 4: Medicare Expenditures

Year Billion $
1980 37
1985 72
1990 111
1995 181
2000 197
2005 330


A. Find the exponential regression model for the data.
M(x) = 

 
 
 


B. What is the r2 value for this model?
r2 = 

 
 
 


C. Extimate (to the nearest billion) the expenditures in 2008?
The Medicare expenditures in 2008 were about $ 

 
 
 

 billion.

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