Concept explainers
In Problems 11-16,
(a) Draw a
(b) Select two points from the scatter diagram and find the equation of the line containing the points selected.
(c) Graph the line found in part (b) on the scatter diagram.
(d) Use a graphing utility to find the line of best fit.
(e) Use a graphing utility to draw the scatter diagram and graph the line of best fit on it.
To calculate:
- The scatter diagram of the given data.
- Find the equation of a line containing 2 points in the scatter diagram.
- Graph the line found in (b).
- Find the line of best fit using a graphing utility.
- Draw the scatter diagram and the line of best fit using a graphing utility.
Answer to Problem 15AYU
Solution:
a.
b. The equation of the line joining the points and is
c.
d.
e.
Explanation of Solution
Given:
The given data is
Formula used:
The point slope form of the equation of the line with points is
, where .
Calculation:
a. The scatter diagram of the given data is
b. Consider the points and .
Here, we have
Therefore, on substituting these in the point slope form of the equation of a line, we get
Therefore,
Thus, the equation of the line joining the points and is
c. The graph of the above line is
d. Using a graphing utility, we can find the line of best fit to be
e. The line of best fit and the scatter diagram is
Chapter 3 Solutions
Precalculus
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