Concept explainers
a.
To graph: a
a.
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Explanation of Solution
Given:
Following data is given in the form of a table
Graph:
Interpretation:
The graph shows that Medicare spending has been consistently on the rise.
b.
To find: a linear model using regression utility for the given data and identify the coefficient of determination.
b.
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Explanation of Solution
Given:
Following data is given in the form of a table
Graph:
Interpretation:
The given graph shows an almost similar increase according to the linear model.
However, there are no points which lying on the line, thus indicating little inaccuracy.
The coefficient of determination is
c.
To find: a linear model with the scatter plot from part (a).
c.
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Explanation of Solution
Given:
Following data is given in the form of a table
Graph:
Interpretation:
The given graph shows an almost similar increase according to the linear model.
However, there are no points which lying on the line, thus indicating little inaccuracy.
d.
To find: a quadratic model using regression utility for the given data and its coefficient of determination
d.
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Explanation of Solution
Given:
Following data is given in the form of a table
Graph:
Interpretation:
The given graph shows that the curve moves almost similar to the quadratic model. Also there are 3 points lying on the quadratic model thus indicating a comparatively higher accuracy as compared to linear model.
The coefficient of determination is
e.
To find a quadratic model for the given data
e.
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Explanation of Solution
Given:
Following data is given in the form of a table
Graph:
Interpretation:
The given graph shows that the curve moves almost similar to the quadratic model. Also there are 3 points lying on the quadratic model thus indicating a comparatively higher accuracy as compared to linear model.
f.
To find: a better model fit for the data.
f.
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Explanation of Solution
Given:
Following data is given in the form of a table
On observation of linear model and the quadratic model, it can be easily said that the quadratic models is better as it closely follows the actual movement of the graph.
This is not true in the case of linear model where none of the points actually lie on the line.
Conclusion:
Quadratic model is better fit for the data given as the difference between two consecutive values is not constant.
g.
To find: the year when the total Medicare spending is about $830 million using quadratic model.
g.
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Explanation of Solution
Given:
Following data is given in the form of a table
Graph:
Interpretation:
Observing the quadratic model, it can be said that the total Medicare spending will reach $830 million in year
Conclusion:
The given data follows a similar pattern to the quadratic model.
This helps in finding the time when the graph will have certain value in the future.
Chapter 2 Solutions
EP PRECALC.GRAPHING APPR.-WEBASSIGN-1YR
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