naruto63
20.09.2021 •
Mathematics
The table below shows the average annual cost of health insurance for a single individual, from 1999 to 2019, according to the Kaiser Family Foundation.
Year Cost
1999 $2,196
2000 $2,471
2001 $2,689
2002 $3,083
2003 $3,383
2004 $3,695
2005 $4,024
2006 $4,242
2007 $4,479
2008 $4,704
2009 $4,824
2010 $5,049
2011 $5,429
2012 $5,615
2013 $5,884
2014 $6,025
2015 $6,251
2016 $6,196
2017 $6,435
2017 $6,896
2019 $7,186
(a) Using only the data from the first and last years, build a linear model to describe the cost of individual health insurance from 1999 onward. Use t to represent years after 1999 (treating 1999 as year 0).
Pt =
(b) Using this linear model, predict the cost of insurance in 2030.
$
(c) = According to this model, when do you expect the cost of individual insurance to reach $12,000? Give your answer as a calendar year (ex: 2020).
During the year
(d) Using a calculator or spreadsheet program, build a linear regression model to describe the cost of individual insurance from 1999 onward. Use t to represent years after 1999 (treating 1999 as year 0), and round the values of
P0 and d to the nearest dollar.
Pt=
(e) Using the regression model, predict the cost of insurance in 2030.
$
(f) According to the regression model, when do you expect the cost of individual insurance to reach $12,000? Give your answer as a calendar year (ex: 2020).
During the year
Solved
Show answers
More tips
Answers on questions: Mathematics
- M Mathematics A recipe use 3 cups of flour and 2 cups of sugar what is the ratio...
- M Mathematics Rosa has a picture frame that measures 12 inches by 18 inches. What is the diagonal distance across the frame? Round to the nearest tenth....
- M Mathematics Suppose f:double-struck Rn → double-struck Rm and g:double-struck Rp → double-struck Rq. (a) What must be true about the numbers n, m, p, and q for f ∘ g to make sense? n = q m = p...
- M Mathematics A university class has 22 students: are accounting majors, are history majors, and are nursing majors. The professor is planning to select two of the students for a demonstration....
- M Mathematics A) expected value of a die b) suppose you play a game where you get a dollar amount equivalent to the number of dots that show up on the die. you roll it once. if you don t like it,...
- M Mathematics Which lines are parallel? Justify your answer...
- M Mathematics 2 -2y - 7+ 5y = 13 - 2y Is there one solution no solution or infinite solutions?...
- M Mathematics 3. How do you add two mixed numbers with like denominators?...
- M Mathematics The fraction is greater than 3/6 and less than 6/6. What is your friends fraction?...
- M Mathematics A small country that has experienced high inflation for the past decade decides to set the value of its currency equal to the value of a currency in a large nation that has had very...
Ответ:
D. The range of the function is all real numbers greater than or equal to 0.
Step-by-step explanation:
The graph of the function
is shown in attached diagram.
1. The domain of the function is the set of all possible values for input (for x). Hence, the domain of this function is
2. The range of the function is the set of all possible values for output (for y), so the range of this function is
As you can see, only option D is true - The range of the function is all real numbers greater than or equal to 0.