Concept explainers
(a)
To graph: the data given in the table.
(a)
Explanation of Solution
Given data:
Table of year v/s Population
Formula used:
Slope intercept form:
Calculation:
Graph for the given table:
Year | Population, P (in millions) |
2013 | 1.867 |
2014 | 1.881 |
2015 | 1.894 |
2016 | 1.908 |
2017 | 1.920 |
Interpretation:
Population increases with year.
(b)
To find: Linear regression of model
(b)
Answer to Problem 23E
Linear regression of model is
Explanation of Solution
Given data:
Table of year v/s Population.
Formula used:
Slope intercept form:
Calculation:
Linear regression of the model:
Conclusion:
Linear regression of model is
(c)
To find: If linear model is a good fit.
(c)
Answer to Problem 23E
Yes it is a good fit.
Explanation of Solution
Given data:
Table of year v/s Population.
Formula used:
Slope intercept form:
Calculation:
Yes this is a good fit because line of fit is have value nearly to original values.
Conclusion:
Yes it is a good fit.
(c)
To graph: Linear model and original graph in same window.
(c)
Explanation of Solution
Given data:
Table of year v/s Population.
Formula used:
Slope intercept form:
Calculation:
(d)
To find: Table of linear model value and original value.
(d)
Answer to Problem 23E
The values are differ by 0.043
Explanation of Solution
Given data:
Table of year v/s Population.
Calculation:
Table of original value and model equation value :
Year | Original values | Model values |
2013 | 1.867 | 1.824 |
2014 | 1.881 | 1.834 |
2015 | 1.894 | 1.844 |
2016 | 1.908 | 1.859 |
2017 | 1.920 | 1.864 |
These values are differ by 0.043.
Conclusion:
The values are differ by 0.043
(e)
Population in 2021.
(e)
Answer to Problem 23E
Population in 2021 will be 1.92 millions.
Explanation of Solution
Given data:
Table of year v/s Population.
Calculation:
Population in 2021 will be:
It is not reasonable answer because as the graph is increasing with year and population also increases.
Conclusion:
Population in 2021 will be 1.92 millions.
Chapter 1 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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