Concept explainers
a.
To find: the least regression line.
a.
Answer to Problem 89E
The least squares regression line is
Explanation of Solution
Given:
Since,
The result can be arranged in table format as shown below:
Calculation:
The system of linear equations for getting values of
Multiply
Subtracting equation (3) from equation (4):
Put the value of
Therefore, the value of
Calculate the least squares regression line.
b.
To confirm:the result by using a regression feature of graphing utility.
b.
Answer to Problem 89E
The least squares regression line by graphing utility is
Explanation of Solution
Given:
Since,
The result can be arranged in table format as shown below:
Calculation:
Use regression feature of a graphing utility to confirm the result.
Therefore,the least squares regression line by graphing utility is
c.
To plot :the given data and graph the linear model .
c.
Answer to Problem 89E
Plotted the given data and graphed the linear model.
Explanation of Solution
Given:
Since,
The result can be arranged in table format as shown below:
Plotting data on graph:
d.
To predict:the yield for a fertilizer application of
d.
Answer to Problem 89E
The wheat yield for a for a fertilizer of
is
Explanation of Solution
Given:
Since,
The result can be arranged in table format as shown below:
Amount of fertilizer
Calculation:
To predict the yield for a fertilizer of
Here,
Putting the value of
Therefore, the wheat yield for a for a fertilizer of
is
Chapter 7 Solutions
Precalculus with Limits: A Graphing Approach
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