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True , it would have been false only if it was mentioned no relationship . But as it mentions linear it is true.

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Q: A zero population correlation coefficient between a pair of random variables means that there is no linear relationship between the random variables True or false?
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Related questions

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".


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 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.


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.


Which of these provides relationship between two variables and provides a visual correlation coefficient?

Trendline


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.


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.


If two variables are highly correlated the correlation coefficient will be at or near zero-true or false?

If two variables are highly correlated, the Pearson correlation will be close to -1.0 or +1.0. A correlation of zero shows no relationship.


Is the coefficient of correlation a useful measure of the linear relationship between two variables true or false?

True


What is multiple correlation coefficient and partial correlation coefficient?

partial correlation is the relation between two variable after controlling for other variables and multiple correlation is correlation between dependent and group of independent variables.


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 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.