Concept explainers
(a)
To graph: the data given in the table.
(a)
Explanation of Solution
Given data:
Table of year v/s Number of stores.
Graph:
Graph for the given table:
Conclusion:
It is a increasing graph.
(b)
Linear regression of graph.
(b)
Answer to Problem 24E
Linear regression of model is
Explanation of Solution
Given data:
Table of year v/s Number of stores.
Formula used:
Slope intercept form:
Calculation:
Linear regression of the model:
Conclusion:
Linear regression of model is
(c)
To find: Table of linear model values and original values.
(c)
Explanation of Solution
Given data:
Table of year v/s Number of stores.
Formula used:
Slope intercept form:
Calculation:
Table of model values and original values:
Year | Original values | Model values | Difference |
2011 | 592 | 592 | 0 |
2012 | 608 | 617 | 9 |
2013 | 634 | 642 | 8 |
2014 | 663 | 666 | 3 |
2015 | 686 | 691 | 5 |
2016 | 715 | 716 | 1 |
2017 | 741 | 741 | 0 |
(d)
To find: whether the regression model a good fir or not
(d)
Answer to Problem 24E
Yes it is a good fit.
Explanation of Solution
Given data:
Table of year v/s Number of stores.
Formula used:
Slope intercept form:
Calculation:
Yes this is a good fit because line of fit is having value nearly to all original values.
Conclusion:
Yes it is a good fit.
(e)
Number of stores for 2021
(e)
Answer to Problem 24E
Number of stores for 2021 will be 840 stores.
Explanation of Solution
Given data:
Table of year v/s Number of stores.
Formula used:
Slope intercept form:
Calculation:
Number of stores for 2021 will be:
It is a reasonable answer because as the graph is increasing with year.
Conclusion:
Number of stores for 2021 will be 840 stores.
Chapter 1 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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