Microsoft Word - Set13-Interval-Ratio Association-10e Soc 2910 Problem Set 13 Prof. Iaquinta Due Wednesday 4/22 Association at the Interval-Ratio Level Spring 2020 Show all work. Neatness counts. You...

1 answer below »


bb-set13-interval-ratio-association-10e-3cmks4r4.pdf



Microsoft Word - Set13-Interval-Ratio Association-10e Soc 2910 Problem Set 13 Prof. Iaquinta Due Wednesday 4/22 Association at the Interval-Ratio Level Spring 2020 Show all work. Neatness counts. You can use Excel to create tables and charts, but do your own computations of statistics using formulas. Include the formula you are using (if any) and the formula with the relevant values substituted in before simplifying. 1. Do Problem 13.2 on page 370. Occupational prestige scores for a sample of fathers and their oldest son and oldest daughter are shown in the table. Family  Father’s Prestige  Son’s Prestige  Daughter’s  Prestige  A  80 85 82 B  78 80 77 C  75 70 68 D  70 75 77 E  69 72 60 F  66 60 52 G  64 48 48 H  52 55 57 Analyze the relationship between father’s and son’s prestige and the relationship between father’s and daughter’s prestige. For each relationship: a. Draw a scattergram and a freehand regression line. b. Compute the slope (b) and find the Y intercept (a). c. State the least-squares regression line. What prestige score would you predict for a son whose father had a prestige score of 72? What prestige score would you predict for a daughter whose father had a prestige score of 72? d. Compute r and r2. e. Assume these families are a random sample and conduct a test of significance for both relationships. f. Describe the strength and direction of the relationships in a sentence or two. Does the occupational prestige of the father have an impact on his children? Does it have the same impact for daughters as it does for sons? 2. Data on three variables have been collected for 15 nations. The variables are fertility rate (average number of children born to each woman), average education for females (expressed as a percentage of all students at the secondary level who are women, and percent of married women ages 15-49 using all forms of contraception. a. Draw a scattergram and a freehand regression line. b. Compute r and r2 for each combination of variables. PS #13  Interval‐Ratio Association  Prof. Iaquinta    ‐ 2 ‐  Spring 2020  Nation  Fertility*  Education of Females*  Percent of  Women Using  Contraception†  Niger  7.3 38.4 11 Cambodia  3.0 35.6 40 Guatemala  3.6 46.9 43 Ghana  3.8 44.7 24 Bolivia  2.7 48.2 61 Kenya  4.7 47.6 39 Dominican Republic  2.8 54.8 73 Mexico  2.4 50.5 71 Vietnam  1.9 47.1 79 Turkey  1.9 37.5 71 United States  2.1 49.0 73 China  1.8 45.3 90 United Kingdom  1.7 52.7 84 Japan  1.2 49.0 52 Italy  1.3 48.1 60 *Nationmaster.com     †World Popula on Data Sheet, 2009.  Popula on Reference Bureau (www.prb.org).  c. Assume these countries are a random sample and conduct a test of significance for at least one of the relationships. d. Summarize these relationships in terms of strength and direction. 3. The table below presents the scores of 15 states on three variables. (a) Compute r and r2 for each combination of variables. (b) Assume that theses 15 states are a random sample of all states and test the correlations for their significance. (c) Write a paragraph interpreting the relationship among these three variables. State  Per Capita  Expenditures  on Education  2007  Percent High  School  Graduates  2007  Rank in Per  Capita Income  Arkansas  1546 80.4 14 Colorado  1792 88.9 6 Connecticut  2391 88.0 1 Florida  1672 84.9 8 Illinois  1887 85.7 5 Kansas  1913 89.1 9 Louisiana  1650 79.9 11 Maryland  1959 87.4 3 Michigan  1908 87.4 12 Mississippi  1313 78.5 15 Nebraska  1536 89.6 10 New Hampshire  1863 90.5 4 North Carolina  1456 83.0 13 Pennsylvania  1943 86.8 7 Wyoming  2712 91.2 2 Microsoft Word - Set13-Interval-Ratio Association-10e Soc 2910 Problem Set 13 Prof. Iaquinta Due Wednesday 4/22 Association at the Interval-Ratio Level Spring 2020 Show all work. Neatness counts. You can use Excel to create tables and charts, but do your own computations of statistics using formulas. Include the formula you are using (if any) and the formula with the relevant values substituted in before simplifying. 1. Do Problem 13.2 on page 370. Occupational prestige scores for a sample of fathers and their oldest son and oldest daughter are shown in the table. Family  Father’s Prestige  Son’s Prestige  Daughter’s  Prestige  A  80 85 82 B  78 80 77 C  75 70 68 D  70 75 77 E  69 72 60 F  66 60 52 G  64 48 48 H  52 55 57 Analyze the relationship between father’s and son’s prestige and the relationship between father’s and daughter’s prestige. For each relationship: a. Draw a scattergram and a freehand regression line. b. Compute the slope (b) and find the Y intercept (a). c. State the least-squares regression line. What prestige score would you predict for a son whose father had a prestige score of 72? What prestige score would you predict for a daughter whose father had a prestige score of 72? d. Compute r and r2. e. Assume these families are a random sample and conduct a test of significance for both relationships. f. Describe the strength and direction of the relationships in a sentence or two. Does the occupational prestige of the father have an impact on his children? Does it have the same impact for daughters as it does for sons? 2. Data on three variables have been collected for 15 nations. The variables are fertility rate (average number of children born to each woman), average education for females (expressed as a percentage of all students at the secondary level who are women, and percent of married women ages 15-49 using all forms of contraception. a. Draw a scattergram and a freehand regression line. b. Compute r and r2 for each combination of variables. PS #13  Interval‐Ratio Association  Prof. Iaquinta    ‐ 2 ‐  Spring 2020  Nation  Fertility*  Education of Females*  Percent of  Women Using  Contraception†  Niger  7.3 38.4 11 Cambodia  3.0 35.6 40 Guatemala  3.6 46.9 43 Ghana  3.8 44.7 24 Bolivia  2.7 48.2 61 Kenya  4.7 47.6 39 Dominican Republic  2.8 54.8 73 Mexico  2.4 50.5 71 Vietnam  1.9 47.1 79 Turkey  1.9 37.5 71 United States  2.1 49.0 73 China  1.8 45.3 90 United Kingdom  1.7 52.7 84 Japan  1.2 49.0 52 Italy  1.3 48.1 60 *Nationmaster.com     †World Popula on Data Sheet, 2009.  Popula on Reference Bureau (www.prb.org).  c. Assume these countries are a random sample and conduct a test of significance for at least one of the relationships. d. Summarize these relationships in terms of strength and direction. 3. The table below presents the scores of 15 states on three variables. (a) Compute r and r2 for each combination of variables. (b) Assume that theses 15 states are a random sample of all states and test the correlations for their significance. (c) Write a paragraph interpreting the relationship among these three variables. State  Per Capita  Expenditures  on Education  2007  Percent High  School  Graduates  2007  Rank in Per  Capita Income  Arkansas  1546 80.4 14 Colorado  1792 88.9 6 Connecticut  2391 88.0 1 Florida  1672 84.9 8 Illinois  1887 85.7 5 Kansas  1913 89.1 9 Louisiana  1650 79.9 11 Maryland  1959 87.4 3 Michigan  1908 87.4 12 Mississippi  1313 78.5 15 Nebraska  1536 89.6 10 New Hampshire  1863 90.5 4 North Carolina  1456 83.0 13 Pennsylvania  1943 86.8 7 Wyoming  2712 91.2 2
Answered Same DayApr 22, 2021

Answer To: Microsoft Word - Set13-Interval-Ratio Association-10e Soc 2910 Problem Set 13 Prof. Iaquinta Due...

Monali answered on Apr 22 2021
145 Votes
1. Occupational prestige scores for a sample of fathers and their oldest son and oldest daughter are shown in the table. Analyze the relationship between father’s and son’s prestige and the relationship between father’s and daughter’s prestige. For each relationship:
a. Draw a scatter gram and a freehand regression line.
b. Compute the slope (b) and find the Y intercept (a).
Regression li
ne Slope of father & son’s prestige is 1.1732 and y-intercept is -13.119.
Regression line Slope of father & daughter’s prestige is 1.0414 and y-intercept is
-6.9924.
c. State the least-squares regression line. What prestige score would you predict for a son whose father had a prestige score of 72? What prestige score would you predict for a daughter whose father had a prestige score of 72?
Least square regression line for father & son prestige is 1.1732 X – 13.119
Substituting value of father score of 72 in least square equation; we get 1.1732*72 – 13.119 = 71. Therefore, son’s prestige is 71 for father’s score of 72.
Least Square regression line for father & daughter prestige is 1.0414 X – 6.9924
Substituting value of father score of 72 in least square equation; we get 1.0414*72 – 6.9924 = 68. Therefore, daughter’s prestige is 68 for father’s score of 72.

d. Compute r and r2.
For father and son;
r squared value = 0.681
r - correlation coefficient = √0.681 = 0.825
For father and daughter;
r squared - Coefficient of determination = 0.5375
r - correlation coefficient = √0.5375 = 0.733
e. Assume these families are a random sample and conduct a test of significance for both relationships.
For father and son’s prestige t-test for two sample using unequal mean is performed.
Null hypothesis: variance of both scores are unequal
Alternative hypothesis: variance of both scores are not unequal
Following is two sample t-test results at 5% significance level. Both p values are 0.420602265 and 0.841204531. Both are greater than 0.05. Therefore, we cannot reject null hypothesis. And variance of both father & son’s scores are different.
     
    Father’s Prestige
    Son's Prestige
    Mean
    69.25
    68.125
    Variance
    80.21428571
    162.125
    Observations
    8
    8
    Hypothesized Mean Difference
    0
    
    Df
    13
    
    t Stat
    0.204402218
    
    P(T<=t) one-tail
    0.420602265
    
    t Critical one-tail
    1.770933396
    
    P(T<=t) two-tail
    0.841204531
    
    t Critical two-tail
    2.160368656
     
For father and daughter’s prestige t-test for two sample using unequal mean is performed.
Null hypothesis: variance of both scores are unequal
Alternative hypothesis: variance of both scores are not unequal
Following is two sample t-test results at 5% significance level. Both p values are 0.233330195 and 0.466660389. Both are greater than 0.05. Therefore, we cannot reject null hypothesis. And variance of both father & daughter’s scores are different.
     
    Father's Prestige
    Daughter's Prestige
    Mean
    69.25
    65.125
    Variance
    80.21428571
    161.8392857
    Observations
    8
    8
    Hypothesized Mean Difference
    0
    
    Df
    13
    
    t Stat
    0.749917
    
    P(T<=t) one-tail
    0.233330195
    
    t Critical one-tail
    1.770933396
    
    P(T<=t) two-tail
    0.466660389
    
    t Critical two-tail
    2.160368656
     
f. Describe the strength and direction of the relationships in a sentence or two. Does the occupational prestige of the father have an impact on his children? Does it have the same impact for daughters as it does for sons?
Correlation coefficient determines strength and direction of relationship can be seen with regression line.
Correlation coefficient for father and son score 0.825 indicates very strong relationship. Upward direction of regression line indicates positive relationship. Based upon both of these, it can be said that occupational prestige of the father has an impact on children.
Correlation coefficient for father and daughter score 0.733 indicates very strong relationship. Upward...
SOLUTION.PDF

Answer To This Question Is Available To Download

Related Questions & Answers

More Questions »

Submit New Assignment

Copy and Paste Your Assignment Here