d. Using the regression results reported above, please calculate and interpret the separate effects of being an athlete on college GPA for men and women.
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.
![Source
SS
df
MS
Number of obs
4,137
%3D
F(5, 4131)
203.47
Model
354.540972
70.9081943
Prob > F
0.0000
Residual
1439.6547
4,131
.348500291
R-squared
0.1976
Adj R-squared
0.1966
Total
1794.19567
4,136
433799728
Root MSE
.59034
colgpa
Coef.
Std. Err.
t
P>|t|
[95% Conf. Interval]
sat
.0020628
0000681
30.28
0.000
.0019292
.0021963
-.0001902
-.1256951
athlete
.0510523
-0.00
0.997
-.1002802
.0998999
verbmath
0626584
-2.01
0.045
-.2485393
-.0028508
female
.236065
.0194727
12.12
0.000
.1978879
.274242
thletefemale
.0707488
.1022561
0.69
0.489
-.1297283
.2712259
_cons
.531122
0906299
5.86
0.000
3534385
.7088054
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