Which of the following four statements is correct? Let f(x) = 2 + 5x be a linear regression line of a linear regression from Y to X. Then the following holds for the scatter plot: 1- The closer the points in the scatter plot lie to the plotted regression line the stronger the correlation between X and Y . 2- The further the points in the scatter plot are from the plotted regression line the stronger is the correlation between X and Y . 3- Only if all points lie exactly on the plotted regression line, the correlation between X and Y is the correlation between X and Y is strong. 4- The position of the points in the scatter plot has nothing to do with the strength of the correlation.
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.
Which of the following four statements is correct?
Let f(x) = 2 + 5x be a linear regression line of a linear regression from Y to X.
Then the following holds for the
1- The closer the points in the scatter plot lie to the plotted regression line the stronger the
2- The further the points in the scatter plot are from the plotted regression line the stronger is the correlation between X and Y .
3- Only if all points lie exactly on the plotted
4- The position of the points in the scatter plot has nothing to do with the strength of the correlation.
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