Concept explainers
(a)
To Find: The cubic model for the data.
(a)

Answer to Problem 86E
The required model is
Explanation of Solution
Given:
The given data is shown in Table 1
Table 1
Year | Average Price |
200 | 10.65 |
2008 | 11.26 |
2009 | 11.51 |
2010 | 11.54 |
2011 | 11.72 |
2012 | 11.88 |
2.13 | 12.13 |
2014 | 12.52 |
The variable
Calculation:
Input the values on
Figure 1
Use cubicreg to find the model as shown in Figure 2
Figure 2
Thus, the required model is,
(b)
To Find: The plot for the data and the model in the same viewing window.
(b)

Answer to Problem 86E
The required graph is shown in Figure 1
Explanation of Solution
Consider the model is,
From the above model and the give data the required plot is shown in Figure 3
Figure 3
(c)
To Find: The binomial coefficient to write
(c)

Answer to Problem 86E
The required expression is
Explanation of Solution
Consider the model for the data set is,
Then, the value of
(d)
To find: the graph for
(d)

Answer to Problem 86E
The required graph is shown in Figure 4
Explanation of Solution
Consider the model for the data set is,
Then, the graph for
Figure 4
(e)
To find: The average price in 2015.
(e)

Answer to Problem 86E
The increase in average price is same for both the models that is
Explanation of Solution
Consider the model for the data set is,
Then, the average price in 2015 is obtained by substituting
Also,
(f)
To find: The answer of part (e) is reasonable.
(f)

Answer to Problem 86E
The answer of part (e) is not reasonable.
Explanation of Solution
Since, in part (e) the increase in reasonable price obtained is much more than the increase in past 7 years therefore the answer of part (e) is not reasonable.
(g)
To find: The factor that contribute to the change in the average price.
(g)

Answer to Problem 86E
The affecting factors are fuel cost, operating cost of power plants, transmission and distribution system, weather conditions, and regulations.
Explanation of Solution
There are several factors like fuel cost, operating cost of power plants, transmission and distribution system, weather conditions, and regulations.
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
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