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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.
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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 a type of correlation coefficient?
A type of correlation coefficient is the Pearson correlation coefficient, which measures the strength and direction of the linear relationship between two continuous variables. Its value ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation. Other types include the Spearman rank correlation coefficient, which assesses the relationship between ranked variables, and the Kendall tau coefficient, which measures the ordinal association between two quantities.
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 two variables are not related the correlation coefficient?
When two variables are not related, the correlation coefficient is close to zero, indicating no linear relationship between them. This suggests that changes in one variable do not predict changes in the other. A correlation coefficient can range from -1 to 1, with values near zero demonstrating weak or no correlation.
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?
Correlation coefficient is a measure of the strength and direction of a relationship between two variables. It quantifies how closely the two variables are related and ranges from -1 (perfect negative correlation) to 1 (perfect positive correlation), with 0 indicating no correlation.
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.
Correlation coefficients represents the WEAKEST relationship?
A correlation coefficient represents the strength and direction of a linear relationship between two variables. A correlation coefficient close to zero indicates a weak relationship between the variables, where changes in one variable do not consistently predict changes in the other. However, it is important to note that a correlation coefficient of zero does not necessarily mean there is no relationship between the variables, as non-linear relationships may exist.
What is a correlation coefficient?
A correlation coefficient is a statistic that measures the strength and direction of a relationship between two variables. It ranges from -1 to 1, with 1 indicating a perfect positive relationship, -1 indicating a perfect negative relationship, and 0 indicating no relationship between the variables.
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).
What are the two things A correlation coefficient represents?
The strength and the direction of a relationship.
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.
