90 10 20 30 40 50 60 70 Fall 2010 Acceptance Rate (%) -5 10 30 40 50 60 70 Fall 2010 Acceptance Rate (%) 15 -10 -5 Residuals 8 20 6-Year Graduation Rate (%) Residuals kouanbay
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.
factors that might be associated with better graduation
rates. The administrators wonder whether there is a
relationship between acceptance rates and graduation
ence, what conditions and assumptions must be satis-
fied? Are they? (Source: US News and World Report
Dependent variable is 6-Year Graduation Rate
R-squared = 69.6%
s = 2.86 with 50 - 2 = 48 degrees of freedom
Variable Coefficient SE(Coeff) t-Ratio P-Value
Intercept 97.0663 0.84406 114.999 60.0001
Acceptance
Rate
![90
10
20
30 40
50
60 70
Fall 2010 Acceptance Rate (%)
-5
10
30
40
50
60
70
Fall 2010 Acceptance Rate (%)
15
-10
-5
Residuals
8
20
6-Year Graduation Rate (%)
Residuals
kouanbay](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbdebc9f-eb2a-4ce4-b215-66e7e7c4723e%2F325f524d-9e79-40d1-9470-bab76faef85d%2Faauc189.png&w=3840&q=75)
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