
Concept explainers
(a)
To graph: The
(a)

Explanation of Solution
Given information:
Hooke’s law states that the force
Force, | Elongation, |
Graph:
To graph the points on scatter plot, follow the steps using graphing calculator.
First press the
Go to
Now, press the
Figure (1)
(b)
To find: The equation of line that seems to best fit for the data.
(b)

Answer to Problem 19E
The equation of line that seems to best fit for the data is equal to
Explanation of Solution
Given information:
Hooke’s law states that the force
Force, | Elongation, |
Calculation:
Assume that the line is equal to
As given the value of
Substitute
Substitute
Subtract both the equations.
Substitute
Therefore, the equation of line that seems to best fit for the data is equal to
(c)
To find: The linear model for the data with the help of regression of graphing utility.
(c)

Answer to Problem 19E
The linear model for the data is equal to
Explanation of Solution
Given information:
Hooke’s law states that the force
Force, | Elongation, |
Calculation:
For the regression linear model of data follow the steps below:
First press the
Go to
Now enter the keystrokes
Figure(1)
Therefore, the linear model for the data is equal to
(d)
To find: The elongation of the spring when a force of
(d)

Answer to Problem 19E
The elongation of the spring when a force of
Explanation of Solution
Given information:
Hooke’s law states that the force
Force, | Elongation, |
Calculation:
As found in part(c), the model for the best fit of data is equal to
Substitute
Therefore, the elongation of the spring when a force of
Chapter 1 Solutions
Precalculus with Limits: A Graphing Approach
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