Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Concept explainers

Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…
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Chapter 4.4, Problem 3CYU

a.

To determine

The relationship between dependent and independent variable and make a scatter-plot for the given data set.

a.

Expert Solution
Check Mark

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 positive correlation between the number of years and age.

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 yearsMedian age of females
    199624.8
    199725.0
    199825.0
    199925.1
    200025.1
    200125.1
    200225.3
    200325.3
    200525.5
    200625.9

Graph: The graph for the scatter-plot is shown as,

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 4.4, Problem 3CYU , additional homework tip 1

Conclusion: As the number of years increases, the age also increases. Therefore, there is a positive correlation between the number of years and median age of females when they are first married.

b.

To determine

The graph of line of fit for the scatter plot.

b.

Expert Solution
Check Mark

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 yearsMedian age of females
    199624.8
    199725.0
    199825.0
    199925.1
    200025.1
    200125.1
    200225.3
    200325.3
    200525.5
    200625.9

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.

  Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018, Chapter 4.4, Problem 3CYU , additional homework tip 2

c.

To determine

The equation for line of fit in slope intercept form.

c.

Expert Solution
Check Mark

Answer to Problem 3CYU

The equation for the line of fit is y=0.11x−194.76 .

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 yearsMedian age of females
    199624.8
    199725.0
    199825.0
    199925.1
    200025.1
    200125.1
    200225.3
    200325.3
    200525.5
    200625.9

Calculation: The slope (m) for the given data can be calculated as,

  Slope(m)=25.9−24.82006−1996=1.110=0.11

Now, the line of fit having slope (m=0.11) passes through the points (1996,24.8) . Therefore, equation of line is written using point-slope form as,

  y−y1=m(x−x1)......(Here m=0.11 and(x1,y1)→(1996,24.8))y−24.8=0.11(x−1996)y=0.11x−194.76......(1)

d.

To determine

The median age of females when they are first married in 2016.

d.

Expert Solution
Check Mark

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 yearsMedian age of females
    199624.8
    199725.0
    199825.0
    199925.1
    200025.1
    200125.1
    200225.3
    200325.3
    200525.5
    200625.9

Calculation: The median age of females in 2016 can be evaluated by plugging (x=2016) in (1). Therefore, from (1),

  y=0.11(2016)−194.76......(For, x=2016)=27.......(Approx.)

e.

To determine

Can the equation of fit give the reasonable estimate for the year 2056? Explain.

e.

Expert Solution
Check Mark

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 yearsMedian age of females
    199624.8
    199725.0
    199825.0
    199925.1
    200025.1
    200125.1
    200225.3
    200325.3
    200525.5
    200625.9

Calculation: The median age of females in 2056 can be evaluated by plugging (x=2056) in (1). Therefore, from (1),

  y=0.11(2056)−194.76......(For, x=2056)=31.4.......(Approx.)

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.

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Chapter 4.4, Problem 2CYU
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Chapter 4.4, Problem 4PPS

Chapter 4 Solutions

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Ch. 4.1 - Prob. 1AGPCh. 4.1 - Prob. 1BGPCh. 4.1 - Prob. 2AGPCh. 4.1 - Prob. 2BGPCh. 4.1 - Prob. 3GPCh. 4.1 - Prob. 4GPCh. 4.1 - Prob. 1CYUCh. 4.1 - Prob. 2CYUCh. 4.1 - Prob. 3CYUCh. 4.1 - Prob. 4CYU
Ch. 4.1 - Prob. 5CYUCh. 4.1 - Prob. 6CYUCh. 4.1 - Prob. 7CYUCh. 4.1 - Prob. 8CYUCh. 4.1 - Prob. 9CYUCh. 4.1 - Prob. 10PPSCh. 4.1 - Prob. 11PPSCh. 4.1 - Prob. 12PPSCh. 4.1 - Prob. 13PPSCh. 4.1 - Prob. 14PPSCh. 4.1 - Prob. 15PPSCh. 4.1 - Prob. 16PPSCh. 4.1 - Prob. 17PPSCh. 4.1 - Prob. 18PPSCh. 4.1 - Prob. 19PPSCh. 4.1 - Prob. 20PPSCh. 4.1 - Prob. 21PPSCh. 4.1 - Prob. 22PPSCh. 4.1 - Prob. 23PPSCh. 4.1 - Prob. 24PPSCh. 4.1 - Prob. 25PPSCh. 4.1 - Prob. 26PPSCh. 4.1 - Prob. 27PPSCh. 4.1 - Prob. 28PPSCh. 4.1 - Prob. 29PPSCh. 4.1 - Prob. 30PPSCh. 4.1 - Prob. 31PPSCh. 4.1 - Prob. 32PPSCh. 4.1 - Prob. 33PPSCh. 4.1 - Prob. 34PPSCh. 4.1 - Prob. 35PPSCh. 4.1 - Prob. 36PPSCh. 4.1 - Prob. 37PPSCh. 4.1 - Prob. 38PPSCh. 4.1 - Prob. 39PPSCh. 4.1 - Prob. 40PPSCh. 4.1 - Prob. 41PPSCh. 4.1 - Prob. 42PPSCh. 4.1 - Prob. 43PPSCh. 4.1 - Prob. 44PPSCh. 4.1 - Prob. 45PPSCh. 4.1 - Prob. 46PPSCh. 4.1 - Prob. 47HPCh. 4.1 - Prob. 48HPCh. 4.1 - Prob. 49HPCh. 4.1 - Prob. 50HPCh. 4.1 - Prob. 51PFACh. 4.1 - Prob. 52PFACh. 4.1 - Prob. 53PFACh. 4.1 - Prob. 54PFACh. 4.1 - Prob. 55PFACh. 4.1 - Prob. 56PFACh. 4.1 - Prob. 57PFACh. 4.1 - Prob. 58PFACh. 4.2 - Prob. 1GPCh. 4.2 - Prob. 2GPCh. 4.2 - Prob. 3AGPCh. 4.2 - Prob. 3BGPCh. 4.2 - Prob. 4AGPCh. 4.2 - Prob. 4BGPCh. 4.2 - Prob. 1CYUCh. 4.2 - Prob. 2CYUCh. 4.2 - Prob. 3CYUCh. 4.2 - Prob. 4CYUCh. 4.2 - Prob. 5CYUCh. 4.2 - Prob. 6CYUCh. 4.2 - Prob. 7CYUCh. 4.2 - Prob. 8CYUCh. 4.2 - Prob. 9CYUCh. 4.2 - Prob. 10CYUCh. 4.2 - Prob. 11CYUCh. 4.2 - Prob. 12CYUCh. 4.2 - Prob. 13PPSCh. 4.2 - Prob. 14PPSCh. 4.2 - Prob. 15PPSCh. 4.2 - Prob. 16PPSCh. 4.2 - Prob. 17PPSCh. 4.2 - Prob. 18PPSCh. 4.2 - Prob. 19PPSCh. 4.2 - Prob. 20PPSCh. 4.2 - Prob. 21PPSCh. 4.2 - Prob. 22PPSCh. 4.2 - Prob. 23PPSCh. 4.2 - Prob. 24PPSCh. 4.2 - Prob. 25PPSCh. 4.2 - Prob. 26PPSCh. 4.2 - Prob. 27PPSCh. 4.2 - Prob. 28PPSCh. 4.2 - Prob. 29PPSCh. 4.2 - Prob. 30PPSCh. 4.2 - Prob. 31PPSCh. 4.2 - Prob. 32PPSCh. 4.2 - Prob. 33PPSCh. 4.2 - Prob. 34PPSCh. 4.2 - Prob. 35PPSCh. 4.2 - Prob. 36PPSCh. 4.2 - Prob. 37PPSCh. 4.2 - Prob. 38PPSCh. 4.2 - Prob. 39PPSCh. 4.2 - Prob. 40PPSCh. 4.2 - Prob. 41PPSCh. 4.2 - Prob. 42HPCh. 4.2 - Prob. 43HPCh. 4.2 - Prob. 44HPCh. 4.2 - Prob. 45HPCh. 4.2 - Prob. 46HPCh. 4.2 - Prob. 47HPCh. 4.2 - Prob. 48PFACh. 4.2 - Prob. 49PFACh. 4.2 - Prob. 50PFACh. 4.2 - Prob. 51PFACh. 4.2 - Prob. 52PFACh. 4.2 - Prob. 53PFACh. 4.2 - Prob. 54PFACh. 4.2 - Prob. 55PFACh. 4.3 - Prob. 1GPCh. 4.3 - Prob. 2GPCh. 4.3 - Prob. 3GPCh. 4.3 - Prob. 4GPCh. 4.3 - Prob. 1CYUCh. 4.3 - Prob. 2CYUCh. 4.3 - Prob. 3CYUCh. 4.3 - Prob. 4CYUCh. 4.3 - Prob. 5CYUCh. 4.3 - Prob. 6CYUCh. 4.3 - Prob. 7CYUCh. 4.3 - Prob. 8CYUCh. 4.3 - Prob. 9CYUCh. 4.3 - Prob. 10CYUCh. 4.3 - Prob. 11PPSCh. 4.3 - Prob. 12PPSCh. 4.3 - Prob. 13PPSCh. 4.3 - Prob. 14PPSCh. 4.3 - Prob. 15PPSCh. 4.3 - Prob. 16PPSCh. 4.3 - Prob. 17PPSCh. 4.3 - Prob. 18PPSCh. 4.3 - Prob. 19PPSCh. 4.3 - Prob. 20PPSCh. 4.3 - Prob. 21PPSCh. 4.3 - Prob. 22PPSCh. 4.3 - Prob. 23PPSCh. 4.3 - Prob. 24PPSCh. 4.3 - Prob. 25PPSCh. 4.3 - Prob. 26PPSCh. 4.3 - Prob. 27PPSCh. 4.3 - Prob. 28PPSCh. 4.3 - Prob. 29PPSCh. 4.3 - Prob. 30PPSCh. 4.3 - Prob. 31PPSCh. 4.3 - Prob. 32PPSCh. 4.3 - Prob. 33PPSCh. 4.3 - Prob. 34PPSCh. 4.3 - Prob. 35PPSCh. 4.3 - Prob. 36PPSCh. 4.3 - Prob. 37PPSCh. 4.3 - Prob. 38PPSCh. 4.3 - Prob. 39PPSCh. 4.3 - Prob. 40PPSCh. 4.3 - Prob. 41PPSCh. 4.3 - Prob. 42PPSCh. 4.3 - Prob. 43PPSCh. 4.3 - Prob. 44HPCh. 4.3 - Prob. 45HPCh. 4.3 - Prob. 46HPCh. 4.3 - Prob. 47HPCh. 4.3 - Prob. 48HPCh. 4.3 - Prob. 49PFACh. 4.3 - Prob. 50PFACh. 4.3 - Prob. 51PFACh. 4.3 - Prob. 52PFACh. 4.3 - Prob. 53PFACh. 4.3 - Prob. 54PFACh. 4.4 - Prob. 1GPCh. 4.4 - Prob. 2GPCh. 4.4 - Prob. 3GPCh. 4.4 - Prob. 1CYUCh. 4.4 - Prob. 2CYUCh. 4.4 - Prob. 3CYUCh. 4.4 - Prob. 4PPSCh. 4.4 - Prob. 5PPSCh. 4.4 - Prob. 6PPSCh. 4.4 - Prob. 7PPSCh. 4.4 - Prob. 8PPSCh. 4.4 - Prob. 9PPSCh. 4.4 - Prob. 10PPSCh. 4.4 - Prob. 11PPSCh. 4.4 - Prob. 12PPSCh. 4.4 - Prob. 13HPCh. 4.4 - Prob. 14HPCh. 4.4 - Prob. 15HPCh. 4.4 - Prob. 16HPCh. 4.4 - Prob. 17HPCh. 4.4 - Prob. 18PFACh. 4.4 - Prob. 19PFACh. 4.4 - Prob. 20PFACh. 4.4 - Prob. 21PFACh. 4.4 - Prob. 22PFACh. 4.5 - Prob. 1AGPCh. 4.5 - Prob. 1BGPCh. 4.5 - Prob. 1CGPCh. 4.5 - Prob. 2AGPCh. 4.5 - Prob. 2BGPCh. 4.5 - Prob. 1CYUCh. 4.5 - Prob. 2CYUCh. 4.5 - Prob. 3CYUCh. 4.5 - Prob. 4PPSCh. 4.5 - Prob. 5PPSCh. 4.5 - Prob. 6PPSCh. 4.5 - Prob. 7PPSCh. 4.5 - Prob. 8PPSCh. 4.5 - Prob. 9PPSCh. 4.5 - Prob. 10PPSCh. 4.5 - Prob. 11PPSCh. 4.5 - Prob. 12PPSCh. 4.5 - Prob. 13PPSCh. 4.5 - Prob. 14PPSCh. 4.5 - Prob. 15PPSCh. 4.5 - Prob. 16HPCh. 4.5 - Prob. 17HPCh. 4.5 - Prob. 18HPCh. 4.5 - Prob. 19HPCh. 4.5 - Prob. 20HPCh. 4.5 - Prob. 21PFACh. 4.5 - Prob. 22PFACh. 4.5 - Prob. 23PFACh. 4.5 - Prob. 24PFACh. 4.5 - Prob. 25PFACh. 4.5 - Prob. 26PFACh. 4.5 - Prob. 27PFACh. 4.6 - Prob. 1AGPCh. 4.6 - Prob. 1BGPCh. 4.6 - Prob. 2GPCh. 4.6 - Prob. 3AGPCh. 4.6 - Prob. 3BGPCh. 4.6 - Prob. 4GPCh. 4.6 - Prob. 1CYUCh. 4.6 - Prob. 2CYUCh. 4.6 - Prob. 3CYUCh. 4.6 - Prob. 4PPSCh. 4.6 - Prob. 5PPSCh. 4.6 - Prob. 6PPSCh. 4.6 - Prob. 7PPSCh. 4.6 - Prob. 8PPSCh. 4.6 - Prob. 9PPSCh. 4.6 - Prob. 10PPSCh. 4.6 - Prob. 11PPSCh. 4.6 - Prob. 12PPSCh. 4.6 - Prob. 13PPSCh. 4.6 - Prob. 14PPSCh. 4.6 - Prob. 15HPCh. 4.6 - Prob. 16HPCh. 4.6 - Prob. 17HPCh. 4.6 - Prob. 18HPCh. 4.6 - Prob. 19PFACh. 4.6 - Prob. 20PFACh. 4.6 - Prob. 21PFACh. 4.6 - Prob. 22PFACh. 4.6 - Prob. 23PFACh. 4.7 - Prob. 1AGPCh. 4.7 - Prob. 1BGPCh. 4.7 - Prob. 2AGPCh. 4.7 - Prob. 2BGPCh. 4.7 - Prob. 3AGPCh. 4.7 - Prob. 3BGPCh. 4.7 - Prob. 4AGPCh. 4.7 - Prob. 4BGPCh. 4.7 - Prob. 4CGPCh. 4.7 - Prob. 1CYUCh. 4.7 - Prob. 2CYUCh. 4.7 - Prob. 3CYUCh. 4.7 - Prob. 4CYUCh. 4.7 - Prob. 5CYUCh. 4.7 - Prob. 6CYUCh. 4.7 - Prob. 7CYUCh. 4.7 - Prob. 8PPSCh. 4.7 - Prob. 9PPSCh. 4.7 - Prob. 10PPSCh. 4.7 - Prob. 11PPSCh. 4.7 - Prob. 12PPSCh. 4.7 - Prob. 13PPSCh. 4.7 - Prob. 14PPSCh. 4.7 - Prob. 15PPSCh. 4.7 - Prob. 16PPSCh. 4.7 - Prob. 17PPSCh. 4.7 - Prob. 18PPSCh. 4.7 - Prob. 19PPSCh. 4.7 - Prob. 20PPSCh. 4.7 - Prob. 21PPSCh. 4.7 - Prob. 22PPSCh. 4.7 - Prob. 23PPSCh. 4.7 - Prob. 24PPSCh. 4.7 - Prob. 25PPSCh. 4.7 - Prob. 26PPSCh. 4.7 - Prob. 27PPSCh. 4.7 - Prob. 28PPSCh. 4.7 - Prob. 29PPSCh. 4.7 - Prob. 30PPSCh. 4.7 - Prob. 31PPSCh. 4.7 - Prob. 32PPSCh. 4.7 - Prob. 33PPSCh. 4.7 - Prob. 34PPSCh. 4.7 - Prob. 35PPSCh. 4.7 - Prob. 36PPSCh. 4.7 - Prob. 37PPSCh. 4.7 - Prob. 38HPCh. 4.7 - Prob. 39HPCh. 4.7 - Prob. 40HPCh. 4.7 - Prob. 41HPCh. 4.7 - Prob. 42HPCh. 4.7 - Prob. 43HPCh. 4.7 - Prob. 44PFACh. 4.7 - Prob. 45PFACh. 4.7 - Prob. 46PFACh. 4.7 - Prob. 47PFACh. 4.7 - Prob. 48PFACh. 4.7 - Prob. 49PFACh. 4.7 - Prob. 50PFACh. 4.7 - Prob. 51PFACh. 4.7 - Prob. 52PFACh. 4 - Prob. 1MCQCh. 4 - Prob. 2MCQCh. 4 - Prob. 3MCQCh. 4 - Prob. 4MCQCh. 4 - Prob. 5MCQCh. 4 - Prob. 6MCQCh. 4 - Prob. 7MCQCh. 4 - Prob. 8MCQCh. 4 - Prob. 9MCQCh. 4 - Prob. 10MCQCh. 4 - Prob. 11MCQCh. 4 - Prob. 12MCQCh. 4 - Prob. 13MCQCh. 4 - Prob. 14MCQCh. 4 - Prob. 15MCQCh. 4 - Prob. 16MCQCh. 4 - Prob. 17MCQCh. 4 - Prob. 18MCQCh. 4 - Prob. 19MCQCh. 4 - Prob. 20MCQCh. 4 - Prob. 21MCQCh. 4 - Prob. 22MCQCh. 4 - Prob. 23MCQCh. 4 - Prob. 1SGRCh. 4 - Prob. 2SGRCh. 4 - Prob. 3SGRCh. 4 - Prob. 4SGRCh. 4 - Prob. 5SGRCh. 4 - Prob. 6SGRCh. 4 - Prob. 7SGRCh. 4 - Prob. 8SGRCh. 4 - Prob. 9SGRCh. 4 - Prob. 10SGRCh. 4 - Prob. 11SGRCh. 4 - Prob. 12SGRCh. 4 - Prob. 13SGRCh. 4 - Prob. 14SGRCh. 4 - Prob. 15SGRCh. 4 - Prob. 16SGRCh. 4 - Prob. 17SGRCh. 4 - Prob. 18SGRCh. 4 - Prob. 19SGRCh. 4 - Prob. 20SGRCh. 4 - Prob. 21SGRCh. 4 - Prob. 22SGRCh. 4 - Prob. 23SGRCh. 4 - Prob. 24SGRCh. 4 - Prob. 25SGRCh. 4 - Prob. 26SGRCh. 4 - Prob. 27SGRCh. 4 - Prob. 28SGRCh. 4 - Prob. 29SGRCh. 4 - Prob. 30SGRCh. 4 - Prob. 31SGRCh. 4 - Prob. 32SGRCh. 4 - Prob. 33SGRCh. 4 - Prob. 34SGRCh. 4 - Prob. 35SGRCh. 4 - Prob. 36SGRCh. 4 - Prob. 37SGRCh. 4 - Prob. 38SGRCh. 4 - Prob. 39SGRCh. 4 - Prob. 40SGRCh. 4 - Prob. 41SGRCh. 4 - Prob. 42SGRCh. 4 - Prob. 43SGRCh. 4 - Prob. 44SGRCh. 4 - Prob. 45SGRCh. 4 - Prob. 46SGRCh. 4 - Prob. 47SGRCh. 4 - Prob. 48SGRCh. 4 - Prob. 49SGRCh. 4 - Prob. 50SGRCh. 4 - Prob. 51SGRCh. 4 - Prob. 52SGRCh. 4 - Prob. 53SGRCh. 4 - Prob. 54SGRCh. 4 - Prob. 55SGRCh. 4 - Prob. 56SGRCh. 4 - Prob. 57SGRCh. 4 - Prob. 58SGRCh. 4 - Prob. 59SGRCh. 4 - Prob. 60SGRCh. 4 - Prob. 61SGRCh. 4 - Prob. 62SGRCh. 4 - Prob. 63SGRCh. 4 - Prob. 64SGRCh. 4 - Prob. 65SGRCh. 4 - Prob. 66SGRCh. 4 - Prob. 67SGRCh. 4 - Prob. 1PTCh. 4 - Prob. 2PTCh. 4 - Prob. 3PTCh. 4 - Prob. 4PTCh. 4 - Prob. 5PTCh. 4 - Prob. 6PTCh. 4 - Prob. 7PTCh. 4 - Prob. 8PTCh. 4 - Prob. 9PTCh. 4 - Prob. 10PTCh. 4 - Prob. 11PTCh. 4 - Prob. 12PTCh. 4 - Prob. 13PTCh. 4 - Prob. 14PTCh. 4 - Prob. 15PTCh. 4 - Prob. 16PTCh. 4 - Prob. 17PTCh. 4 - Prob. 18PTCh. 4 - Prob. 19PTCh. 4 - Prob. 20PTCh. 4 - Prob. 1PFACh. 4 - Prob. 2PFACh. 4 - Prob. 3PFACh. 4 - Prob. 4PFACh. 4 - Prob. 5PFACh. 4 - Prob. 6PFACh. 4 - Prob. 7PFACh. 4 - Prob. 8PFACh. 4 - Prob. 9PFACh. 4 - Prob. 10PFACh. 4 - Prob. 11PFACh. 4 - Prob. 12PFACh. 4 - Prob. 13PFACh. 4 - Prob. 14PFACh. 4 - Prob. 15PFA

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