Concept explainers
a.
To Sketch: The
Given:
The average U.S. exports of the product for the years
Year | Exports |
Graph:
Let
Use the instruction to generate a scatter diagram for a set of data:
Press the data column and
And Press the
To clear the graph and enter a new data set, press
The scatter plot for the given data with years in
b.
To Model: Superimpose the parabolic curve on the scatter plot using quadratic regression with a quadratic function. Analyse whether it is good fit or not.
The quadratic function is
Given:
The average U.S. exports of the product for the years
Year | Exports |
Calculation:
Compute the Quadratic regression equation for the provided data using Ti-83 calculator as follow:
Press
Press
The screenshot is as follows:
Thus, the quadratic function is
Superimpose the parabolic curve on the scatter plot:
Enter the model
Thus, the fit is very good since the graph usually passes through the points.
c.
To Determine: The number thousands of barrels of oil the country will export per day in
Approximately
Given:
The average U.S. exports of the product for the years
Year | Exports |
Calculation:
Let, the number of years be
To find the number of gallons of oil will be produced per day in
So, subtract the initial year
Now, substitute
Round to the approximate values:
Thus, approximately
Chapter 1 Solutions
PRECALCULUS:...COMMON CORE ED.-W/ACCESS
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