Concept explainers
a.
The relationship between dependent and independent variable and make a scatter-plot for the given data set.
a.
Answer to Problem 3CYU
The independent variable is the number of years and dependent variable is the median age of females when they are first married. There is
Explanation of Solution
Given: The given data between the number of years and median age of females when they are first married is shown as
Number of years | Median age of females |
1996 | 24.8 |
1997 | 25.0 |
1998 | 25.0 |
1999 | 25.1 |
2000 | 25.1 |
2001 | 25.1 |
2002 | 25.3 |
2003 | 25.3 |
2005 | 25.5 |
2006 | 25.9 |
Graph: The graph for the scatter-plot is shown as,
Conclusion: As the number of years increases, the age also increases. Therefore, there is a positive
b.
The graph of line of fit for the
b.
Explanation of Solution
Given: The given data between the number of years and median age of females when they are first married is shown as
Number of years | Median age of females |
1996 | 24.8 |
1997 | 25.0 |
1998 | 25.0 |
1999 | 25.1 |
2000 | 25.1 |
2001 | 25.1 |
2002 | 25.3 |
2003 | 25.3 |
2005 | 25.5 |
2006 | 25.9 |
Graph: The line of fit for the scatter-plot is shown as, where number of years are represented on horizontal axis and median age of females is represented on vertical line.
c.
The equation for line of fit in slope intercept form.
c.
Answer to Problem 3CYU
The equation for the line of fit is
Explanation of Solution
Given: The given data between the number of years and median age of females when they are first married is shown as
Number of years | Median age of females |
1996 | 24.8 |
1997 | 25.0 |
1998 | 25.0 |
1999 | 25.1 |
2000 | 25.1 |
2001 | 25.1 |
2002 | 25.3 |
2003 | 25.3 |
2005 | 25.5 |
2006 | 25.9 |
Calculation: The slope
Now, the line of fit having slope
d.
The median age of females when they are first married in 2016.
d.
Answer to Problem 3CYU
The median age of females will be 27 years.
Explanation of Solution
Given: The given data between the number of years and median age of females when they are first married is shown as
Number of years | Median age of females |
1996 | 24.8 |
1997 | 25.0 |
1998 | 25.0 |
1999 | 25.1 |
2000 | 25.1 |
2001 | 25.1 |
2002 | 25.3 |
2003 | 25.3 |
2005 | 25.5 |
2006 | 25.9 |
Calculation: The median age of females in 2016 can be evaluated by plugging
e.
Can the equation of fit give the reasonable estimate for the year 2056? Explain.
e.
Answer to Problem 3CYU
Yes, the equation gives the reasonable estimate for the year 2056 because for the year 2056 the estimated age is 31.4 years.
Explanation of Solution
Given: The given data between the number of years and median age of females when they are first married is shown as
Number of years | Median age of females |
1996 | 24.8 |
1997 | 25.0 |
1998 | 25.0 |
1999 | 25.1 |
2000 | 25.1 |
2001 | 25.1 |
2002 | 25.3 |
2003 | 25.3 |
2005 | 25.5 |
2006 | 25.9 |
Calculation: The median age of females in 2056 can be evaluated by plugging
Hence, the equation of fit gives a reasonable estimate for the year 2056 because in the year 2056 the predicted age of women comes 31.4 years.
Chapter 4 Solutions
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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