Regression Statistics Multiple R R Square Adjusted R Square Standard Error 0.389395911 0.151629176 0.107747926 12.21174238 Observations 62 ANOVA df SS MS Significance F Regression 3 1545.896129 515.2987096 3.455443432 0.022109834 Residual 58 8649.345807 149.1266518 Total 61 10195.24194 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 93.51214154 25.87757288 3.613636487 0.000632425 41.71255147 145.3117316 41.71255147 145.3117316 1.093820589 1.950942383 Age GPA Gender_num -0.238577414 -0.218113845 0.828106007 -2.428097211 1.950942383 -2.428097211 -12.79023531 3.997425287 -3.199618353 0.002232046 -20.7919514 -4.788519224 -20.7919514 -4.788519224 1.32088149 3.130832692 0.421894627 0.674661647 -4.94616105 7.587924029 -4.94616105 7.587924029
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.
![SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
0.389395911
0.151629176
0.107747926
Standard Error
12.21174238
Observations
62
ANOVA
df
SS
MS
Significance F
Regression
1545.896129
515.2987096
3.455443432
0.022109834
Residual
58
8649.345807
149.1266518
Total
61
10195.24194
Coefficients
Standard Error
t Stat
P-value
Lower 95%
Upper 95%
Lower 95.0%
Upper 95.0%
Intercept
93.51214154
25.87757288
3.613636487
0.000632425
41.71255147
145.3117316
41.71255147
145.3117316
Age
-0.238577414
1.093820589
-0.218113845
0.828106007 -2.428097211
1.950942383
-2.428097211
1.950942383
GPA
-12.79023531
3.997425287
-3.199618353
0.002232046
-20.7919514 -4.788519224
-20.7919514
-4.788519224
Gender num
1.32088149
3.130832692
0.421894627
0.674661647
-4.94616105
7.587924029
-4.94616105
7.587924029](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a6f9288-2677-4ddf-af72-adbbbc1c2c02%2F7cfa5bdd-f954-4ce6-aa45-ae8f7ee3d9cd%2Fgbg2t6_processed.png&w=3840&q=75)
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