4. Spending on school renovations and new construction is financed through local bond elections. A bond initiative needs at least 50% approval (yes votes) in order to pass. You are hired by the state of Connecticut to examine the determinants of yes votes on local bond initiatives. To examine that issue, you estimate the following model: %Yes, = B, + B,Income, + B,Coll, + B,Children, + B, Private, + e, where %Yes, is the % of voters in school district įwho vote in favor of a bond issue, Income, is median household income in district i(measured in thousands of dollars), Coll, is the percent of voters with a college degree or higher in district i, Children, is the % of voters with school-age children and Private, is the percent of voters with children enrolled in private school. Means of the variables and regression results (with standard errors in parentheses) are presented below. Summary Statistics Variable Mean 50.2% %Yes Income (in thousands of 40.0 dollars) Cll Children 30% 40% Private 10% Results + 0.5 + 0.5 Coll, +0.1 10 - 0.8 %Yes, Income, Children, Private, (2.0) (0.1) (0.2) (0.2) (0.3) Obs = 400 Explained S.S. = 400 Unexplained S.S = 100
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.
Hi, Based on the attachment:
Calculate and interpret the R squared of the regression.
![4.
Spending on school renovations and new construction is financed through local
bond elections. A bond initiative needs at least 50% approval (yes votes) in order
to pass. You are hired by the state of Connecticut to examine the determinants of
yes votes on local bond initiatives. To examine that issue, you estimate the
following model:
%Yes, = B, + B,Income, + B,Coll, + B,Children, + B, Private, + e,
where %Yes, is the % of voters in school district įwho vote in favor of a bond
issue, Income, is median household income in district i(measured in thousands of
dollars), Coll, is the percent of voters with a college degree or higher in district i,
Children, is the % of voters with school-age children and Private, is the percent
of voters with children enrolled in private school. Means of the variables and
regression results (with standard errors in parentheses) are presented below.
Summary Statistics
Variable
Mean
50.2%
%Yes
Income (in thousands of
40.0
dollars)
Cll
Children
30%
40%
Private
10%
Results
+ 0.5
+ 0.5 Coll, +0.1
10
- 0.8
%Yes,
Income,
Children,
Private,
(2.0) (0.1)
(0.2)
(0.2)
(0.3)
Obs = 400 Explained S.S. = 400 Unexplained S.S = 100](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b2cdd7e-fe06-4eaa-81ae-5c6cf26a1d5b%2F53baea47-5afb-4f41-ae93-8216541bf95f%2Fol7t718.png&w=3840&q=75)
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