Concept explainers
a.
To find: an arithmetic sequence (linear model) for the given data using the regression feature of a graphing utility.
a.
Answer to Problem 80E
Explanation of Solution
Given information: The table shows the number
the biological and biomedical science conferred in the U.S. from 2011 through 2016.
Year | Master’s degree conferred |
2011 | 11.32 |
2012 | 12.42 |
2013 | 13.30 |
2014 | 13.96 |
2015 | 14.66 |
2016 | 15.71 |
Calculation:
Let n =1 represents the year 2011, so the above data can be written as:
Year n | Master’s degree conferred |
1 | 11.32 |
2 | 12.42 |
3 | 13.30 |
4 | 13.96 |
5 | 14.66 |
6 | 15.71 |
Using the regression feature of a graphing utility, the arithmetic sequence (linear modal) for the above table data is:
b.
To approximate: the numbers of master’s degrees conferred for the year 2011 through 2016 using the sequence from part (a).
b.
Explanation of Solution
Given information: The sequence from part (a) is
Calculation:
The numbers of master’s degrees conferred for the year 2011 through 2016 using the sequence
Let n =1 represents the year 2011
Year | Master’s degree conferred |
2011 | 11.46667 |
2012 | 12.30467 |
2013 | 13.14267 |
2014 | 13.98067 |
2015 | 14.81867 |
2016 | 15.65667 |
c.
To find: the total number of master’s degrees conferred for the year 2011 through 2016 using the sequence from part (a).
c.
Answer to Problem 80E
Therefore, the total number of master’s degrees conferred for the year 2011 through 2016 is 81.37002 thousands.
Explanation of Solution
Given information: The sequence from part (a) is
Calculation:
The numbers of master’s degrees conferred for the year 2011 through 2016 using the sequence
Let n =1 represents the year 2011
Year | Master’s degree conferred |
2011 | 11.46667 |
2012 | 12.30467 |
2013 | 13.14267 |
2014 | 13.98067 |
2015 | 14.81867 |
2016 | 15.65667 |
The total number of master’s degrees conferred for the year 2011 through 2016 using the sequence is :
11.46667+12.30467+13.14267+13.98067+14.81867+15.65667 =81.37002 thousands.
Therefore, the total number of master’s degrees conferred for the year 2011 through 2016 is 81.37002 thousands.
Chapter 8 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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