a.
To graph: A
a.
Explanation of Solution
Given information:
The following table with Temperature
Graph:
Plot the points in the above table on a graph using a graphing utility.
Interpretation:
The graph is in the form of a half wave.
b.
To find: A sine model for the temperature.
b.
Answer to Problem 104E
A sine model for the temperature is as follows:
with
Explanation of Solution
Given information:
The following table with Temperature
Calculation:
To find a sine model for the temperature, plot all the points on the graph Then, make a list of all the points using the
Then use the sine regression feature of the graphing utility. To find a sine model, enter the following equation:
Press Enter.
The following equation will be obtained:
c.
To graph: The scatter plot and the sine model in the same widow
c.
Explanation of Solution
Given information:
The following table with Temperature
Graph:
On plotting the data(as explained in subpart a) and on finding the sine model using the
Interpretation:
The graph of the sine model is a best fit line for the scatter plot of the temperature.
d.
To find: The average temperature using the term in part (b).
d.
Answer to Problem 104E
The average temperature using the term in part (b) is as follows:
Explanation of Solution
Given information:
The following table with Temperature
The model obtained in part(b) is as follows:
Where
The average daily temperature using this model is obtained by creating a table of values using this model. Create a table that shows the values of
Here
e.
To describe: The months in which the daily high temperature is above
e.
Answer to Problem 104E
The months in which the daily high temperature is above
June, July, August, September and October.
Explanation of Solution
Given information:
The following table with Temperature
As obtained in part(c), the graph of the daily high temperatures is as follows:
As observed from the graph, the daily high temperature is above
These months correspond to June, July, August, September and October.
Chapter 5 Solutions
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