Q1: Please use the data set to create a regression equation or a regression line that can reflect the relationship between wealth and level of education in CA counties. NOTES: You are required to: 1) clearly state what is the dependent variable (Y) and what is the independent variable (X); 2) correctly calculate the associated slope and intercept. Q2: Please predict the related median household income when there is 70% of population over 25 with BA degree and higher. Median Household Income ($) % of population over 25 with BA degree and higher 100,929 42.1 71,348 20.5 59,961 25.0 69,588 21.1 108,689 39.4 90,996 32.1 63,284 19.5 53,746 27.5 58,528 13.4 66,834 15.2 63,647 12.5 49,757 16.2 82,439 29.9 60,980 13.5 136,032 54.8 55,057 22.5 59,460 13.0 74,320 23.1 92,291 31.9 72,723 32.8 101,991 37.3 96,623 35.7 72,793 20.8 73,413 28.2 70,608 18.8 86,490 35.1 119,795 52.9 70,046 18.1 75,332 32.1 129,290 45.0 83,773 31.4 125,946 47.3 89,007 37.5 59,949 19.1 46,764 24.0 80,797 24.3 82,006 32.6 65,643 16.4 67,646 18.5 55,480 14.1 58,295 13.3 59,266 19.8 98,200 31.6 76,752 38.3 54,213 14.2
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.
Q1: Please use the data set to create a regression equation or a regression line that can reflect the relationship between wealth and level of education in CA counties. |
NOTES: You are required to: 1) clearly state what is the dependent variable (Y) and what is the independent variable (X); 2) correctly calculate the associated slope and intercept. |
Q2: Please predict the related |
Median Household Income ($) | % of population over 25 with BA degree and higher |
100,929 | 42.1 |
71,348 | 20.5 |
59,961 | 25.0 |
69,588 | 21.1 |
108,689 | 39.4 |
90,996 | 32.1 |
63,284 | 19.5 |
53,746 | 27.5 |
58,528 | 13.4 |
66,834 | 15.2 |
63,647 | 12.5 |
49,757 | 16.2 |
82,439 | 29.9 |
60,980 | 13.5 |
136,032 | 54.8 |
55,057 | 22.5 |
59,460 | 13.0 |
74,320 | 23.1 |
92,291 | 31.9 |
72,723 | 32.8 |
101,991 | 37.3 |
96,623 | 35.7 |
72,793 | 20.8 |
73,413 | 28.2 |
70,608 | 18.8 |
86,490 | 35.1 |
119,795 | 52.9 |
70,046 | 18.1 |
75,332 | 32.1 |
129,290 | 45.0 |
83,773 | 31.4 |
125,946 | 47.3 |
89,007 | 37.5 |
59,949 | 19.1 |
46,764 | 24.0 |
80,797 | 24.3 |
82,006 | 32.6 |
65,643 | 16.4 |
67,646 | 18.5 |
55,480 | 14.1 |
58,295 | 13.3 |
59,266 | 19.8 |
98,200 | 31.6 |
76,752 | 38.3 |
54,213 | 14.2 |
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