Suppose we have a dataset with stock prices (Y) on different time points (X). After performing a linear regression of Y on X, we get the following plot of residuals vs fitted values.
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.
Regression
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regression of Y on X, we get the following plot of residuals vs fitted values.
2500
3000
3500
fited values
Which of the following statements, in your opinion, are true? Select all that apply.
Choose as many as you like
A Linear regression is not appropriate as residuals are not
independent.
B Residuals might not be normally distributed, but they are
independent.
c Nonlinear regression with independent errors should be used for
this data.
D Linear regression gives us good results and there is no need to use
any other model.
000G
0000
-1000 0 1000
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