Concept explainers
a.
To Confirm: The given linear model is appropriate.
The given model is linear.
Given: Children's age and weight
Age (months) | Weight (pounds) |
Calculation:
Press
Select required type, then press
Select Mark as
Press
Enter the data from the above table in the columns
Select the WINDOW as
Then press
The scatter plot is shown below:
Thus, the given model is appropriately linear.
b.
To Determine: The linear regression model.
The linear regression model is
Given: Children's age and weight
Age (months) | Weight (pounds) |
Calculation:
Press
Find the linear regression model for the data is:
c.
To Interpret: The slope of the linear regression equation.
The slope of the linear regression equation is
Given: Children's age and weight
Age (months) | Weight (pounds) |
Calculation:
From part (b) linear regression model, the slope of the regression line is
As a result, the children gained
d.
To Graph: Superimpose the regression line on the scatter plot.
Given: Children's age and weight
Age (months) | Weight (pounds) |
Calculation:
Press
Select required type, then press
Select Mark as
Then press
e.
To Use: The regression model to estimate the weight of a 30-month-old girl.
The weight of a 30-month-old girl by using the regression model is
Given: Children's age and weight
Age (months) | Weight (pounds) |
Calculation:
The linear regression model for the data is,
To find
Thus, the weight of a 30-month-old girl by using the regression model is
Chapter 2 Solutions
Precalculus: Graphical, Numerical, Algebraic Common Core 10th Edition
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