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What is the relationship between correlation coefficient and linear regreassion?
Wiki User
∙ 11y ago
A correlation coefficient is a value between -1 and 1 that shows how close of a good fit the regression line is. For example a regular line has a correlation coefficient of 1. A regression is a best fit and therefore has a correlation coefficient close to one. the closer to one the more accurate the line is to a non regression line.
Wiki User
∙ 11y ago
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If coefficient of correlation r between two variables is zero does it mean that there is no relationship between the variables Justify your answer?
"If coefficient of correlation, "r" between two variables is zero, does it mean that there is no relationship between the variables? Justify your answer".
What is regression coefficient and correlation coefficient?
The strength of the linear relationship between the two variables in the regression equation is the correlation coefficient, r, and is always a value between -1 and 1, inclusive. The regression coefficient is the slope of the line of the regression equation.
Can the correlation coefficient be represented as a percentage?
No, the correlation coefficient is a measure of the strength and direction of the linear relationship between two variables, and it ranges from -1 to 1. It cannot be represented as a percentage.
When you removed from the data set how would the correlation coefficient be affected?
If you remove certain data points from a dataset, the correlation coefficient may be affected depending on the nature of the relationship between the removed data points and the remaining data points. If the removed data points have a strong relationship with the remaining data, the correlation coefficient may change significantly. However, if the removed data points have a weak or no relationship with the remaining data, the impact on the correlation coefficient may be minimal.
What is the relationship between two quantites that increase or decrease together called?
If they increase or decrease exactly, then the constant of proportionality or coefficient of proportionality. If not exactly, then a correlation coefficient.
What is the weakest correlation coefficient?
The weakest correlation coefficient is 0, which means there is absolutely no relationship between the two variables you are correlating.
If coefficient of correlation r between two variables is zero does it mean that there is no relationship between the variables Justify your answer?
"If coefficient of correlation, "r" between two variables is zero, does it mean that there is no relationship between the variables? Justify your answer".
When is the standard correlation coefficient positive?
Assume that you are correlating two variables x and y. If there is an increasing relationship between x and y, (that is , the graph of y=a+bx, slopes upward), the correlation coefficient is positive. Similarly, if there is a decreasing relationship, the correlation coefficient is negative. The correlation coefficient can assume values only between -1 and 1.
Correlation coefficient is the measure of?
A correlation is a statistical relationship between two or more variables. A correlation coefficient is when a researcher compares their result to another to see if they look more or less the same meaning if it is reliable or not.
Which correlation coefficient indicates the weakest relationship between variables?
Pearson's Product Moment Correlation Coefficient indicates how strong the relationship between variables is. A PMCC of zero or very close would mean a very weak correlation. A PMCC of around 1 means a strong correlation.
What is regression coefficient and correlation coefficient?
The strength of the linear relationship between the two variables in the regression equation is the correlation coefficient, r, and is always a value between -1 and 1, inclusive. The regression coefficient is the slope of the line of the regression equation.
Which of these provides relationship between two variables and provides a visual correlation coefficient?
Trendline
How is a linear relationship between two variables measured in statistics?
The Correlation Coefficient computed from the sample data measures the strength and direction of a linear relationship between two variables. The symbol for the sample correlation coefficient is r. The symbol for the population correlation is p (Greek letter rho).
Can the correlation coefficient be represented as a percentage?
No, the correlation coefficient is a measure of the strength and direction of the linear relationship between two variables, and it ranges from -1 to 1. It cannot be represented as a percentage.
What is the correlation coefficient of -2?
A serious error. The maximum magnitude for a correlation coefficient is 1.The Correlation coefficient is lies between -1 to 1 if it is 0 mean there is no correlation between them. Here they are given less than -1 value so it is not a value of correlation coefficient.
Is the coefficient of correlation a useful measure of the linear relationship between two variables true or false?
True
What are the properties of correlation coefficient?
The correlation coefficient is symmetrical with respect to X and Y i.e.The correlation coefficient is the geometric mean of the two regression coefficients. or .The correlation coefficient lies between -1 and 1. i.e. .
