6. Cross tabulations Problem:The following crosstabulation shows household income by educational level of the head ofhousehold(Statistical Abstract of the United States: 2008)Household Income ($1000s)Under2525.0-49.950.0-74.975.0-99.9100 orEducational LevelmoreTotalNot H.S. graduateH.S. graduateSome collegeBachelor's degreeBeyond bach. deg.4,2074,9172,8078852903,4596,8505.2582,0948291,3895,0274,6782,8481,2745392,6373,2502,5811.2413672,6684,0745,3794.1889,96122,09920,06713,7877,822Total13,106 18,490 15,216 10,24816,67673,736a. Compute the row percentages for high school graduate and bachelor's degree (seeexamples in table below)b. What percentage of households headed by high school graduates earn $75, 000 ormore?c. What percentage of households headed by bachelor degree recipients earn less than$50,000 (49,900 or less)?2HW 3 questions and Ch 3 BONUS summer 2021Under 2525.0-49.9Iso.0-74.975.0-99.9totalEducational levelNot HS GraduateHS GraduateSome CollegeBachelor's degreeBeyond bach degTotal100 or more4207345913895393679961491768505027263726682209928075258467832504074200671378788520942848258153792908291274124141887822131061849015216102481667673736ROW PERCENTAGESONLY CALCULATE ROW PERCENTAGES FOR HS GRADUATE AND BACHELORS DEGREE AND ANSWER PARTS B & C.ROW PERCENTAGES.FOLLOW EXAMPLES FOR OTHER ED LEVELS.Educational levelNot HS GraduateHS GraduateSome CollegeBachelor's degreeBeyond bach degTotalUnder 25=(4207/9961)*10050.0-74.9=(3459/9961)*100 (1389/9961)*100 -(539/9961)*10025.0-49.975.0-99.9100 or more=(367/9961)*100total=(9961/9961)*100=(2807/20067)*100(5258/20067)*100 =(4678/20067)*100 (3250/20067)*100 =(4074/20067)*100=(20067/20067)*100(290/7822)*100(13106/73736)*100L829/7822)*100(1274/7822)*100(1241/7822)*100(4188/7822)*100=(18490/73736*100 =(15216/73736*100 (10248/73736*100 =(16676/73736*100 (73736/73736*100(7822/7822)*100Educational levelNot HS GraduateHS GraduateSome CollegeBachelor's degreeBeyond bach degTotalUnder 2542.2325.0-49.950.0-74.913.9475.0-99.95.41100 or moreItotal34.733.6810013.9926.2023.3116.2020.301003.7110.6016.2915.8753.5410017.7725.0820.6413.9022.62100 6. Cross tabulations Problem:The following crosstabulation shows household income by educational level of the head ofhousehold(Statistical Abstract of the United States: 2008)Household Income ($1000s)Under2525.0-49.950.0–74.9100 or75.0-99.9Educational LevelmoreTotalNot H.S. graduateH.S. graduateSome collegeBachelor's degreeBeyond bach. deg.4,2074,9172,8078853,4596,8505,2582,0948291,3895,0274,6782,8481,2745393672,6373,2502,5811,2412,6684,0745,3794,1889,96122,09920,06713,7877,822290Total13,10618,49015,21610,24816,67673,736a. Compute the row percentages for high school graduate and bachelor's degree (seeexamples in table below)b. What percentage of households headed by high school graduates earn $75, 000 ormore?c. What percentage of households headed by bachelor degree recipients earn less than$50,000 (49,900 or less)?

A percentage is a number that we express in terms of a fraction of 100. cent means 100. Hence…

6. Cross tabulations Problem: The following crosstabulation shows household income by educational level of the head of household (Statistical Abstract of the United States: 2008) Household Income ($1000s) Under 25 25.0- 49.9 50.0- 74.9 75.0- 99.9 100 or Educational Level more Total Not H.S. graduate H.S. graduate Some college Bachelor's degree Beyond bach. deg. 4,207 4,917 2,807 3,459 6,850 5,258 2,094 829 1,389 5,027 4,678 2,848 1,274 539 2,637 3,250 2,581 1,241 367 2,668 4,074 5,379 4,188 9,961 22,099 20,067 13,787 7,822 885 290 Total 13,106 18,490 15,216 10,248 16,676 73,736

6. Cross tabulations Problem: The following crosstabulation shows household income by educational level of the head of household (Statistical Abstract of the United States: 2008) Household Income ($1000s) Under 25 25.0- 49.9 50.0- 74.9 75.0- 99.9 100 or Educational Level more Total Not H.S. graduate H.S. graduate Some college Bachelor's degree Beyond bach. deg. 4,207 4,917 2,807 3,459 6,850 5,258 2,094 829 1,389 5,027 4,678 2,848 1,274 539 2,637 3,250 2,581 1,241 367 2,668 4,074 5,379 4,188 9,961 22,099 20,067 13,787 7,822 885 290 Total 13,106 18,490 15,216 10,248 16,676 73,736

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.

Question

6. Cross tabulations Problem:
The following crosstabulation shows household income by educational level of the head of
household
(Statistical Abstract of the United States: 2008)
Household Income ($1000s)
Under
25
25.0-
49.9
50.0-
74.9
75.0-
99.9
100 or
Educational Level
more
Total
Not H.S. graduate
H.S. graduate
Some college
Bachelor's degree
Beyond bach. deg.
4,207
4,917
2,807
885
290
3,459
6,850
5.258
2,094
829
1,389
5,027
4,678
2,848
1,274
539
2,637
3,250
2,581
1.241
367
2,668
4,074
5,379
4.188
9,961
22,099
20,067
13,787
7,822
Total
13,106 18,490 15,216 10,248
16,676
73,736
a. Compute the row percentages for high school graduate and bachelor's degree (see
examples in table below)
b. What percentage of households headed by high school graduates earn $75, 000 or
more?
c. What percentage of households headed by bachelor degree recipients earn less than
$50,000 (49,900 or less)?
2
HW 3 questions and Ch 3 BONUS summer 2021
Under 25
25.0-49.9
Iso.0-74.9
75.0-99.9
total
Educational level
Not HS Graduate
HS Graduate
Some College
Bachelor's degree
Beyond bach deg
Total
100 or more
4207
3459
1389
539
367
9961
4917
6850
5027
2637
2668
22099
2807
5258
4678
3250
4074
20067
13787
885
2094
2848
2581
5379
290
829
1274
1241
4188
7822
13106
18490
15216
10248
16676
73736
ROW PERCENTAGES
ONLY CALCULATE ROW PERCENTAGES FOR HS GRADUATE AND BACHELORS DEGREE AND ANSWER PARTS B & C.
ROW PERCENTAGES.FOLLOW EXAMPLES FOR OTHER ED LEVELS.
Educational level
Not HS Graduate
HS Graduate
Some College
Bachelor's degree
Beyond bach deg
Total
Under 25
=(4207/9961)*100
50.0-74.9
=(3459/9961)*100 (1389/9961)*100 -(539/9961)*100
25.0-49.9
75.0-99.9
100 or more
=(367/9961)*100
total
=(9961/9961)*100
=(2807/20067)*100
(5258/20067)*100 =(4678/20067)*100 (3250/20067)*100 =(4074/20067)*100
=(20067/20067)*100
(290/7822)*100
(13106/73736)*100
L829/7822)*100(1274/7822)*100(1241/7822)*100(4188/7822)*100
=(18490/73736*100 =(15216/73736*100 (10248/73736*100 =(16676/73736*100 (73736/73736*100
(7822/7822)*100
Educational level
Not HS Graduate
HS Graduate
Some College
Bachelor's degree
Beyond bach deg
Total
Under 25
42.23
25.0-49.9
50.0-74.9
13.94
75.0-99.9
5.41
100 or more
Itotal
34.73
3.68
100
13.99
26.20
23.31
16.20
20.30
100
3.71
10.60
16.29
15.87
53.54
100
17.77
25.08
20.64
13.90
22.62
100

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