# Which of the following is true if the correlation coefficient between x and y is zero Mcq?

## Which of the following is true if the correlation coefficient between x and y is zero Mcq?

d. If the correlation rX,Y is 0, there is no relationship between X and Y.

How do you find the coefficient of correlation?

The correlation coefficient is determined by dividing the covariance by the product of the two variables’ standard deviations. Standard deviation is a measure of the dispersion of data from its average. Covariance is a measure of how two variables change together.

What is the Pearson correlation between variables X and Y if X Y in Python?

Pearson Correlation Coefficient

Pearson’s r Value Correlation Between x and y
equal to 1 perfect positive linear relationship
greater than 0 positive correlation
equal to 0 no linear relationship
less than 0 negative correlation
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### Which of the following indicates a strong relationship between X and Y?

Which of the following indicates a fairly strong relationship between X and Y? Correlation between variables is 0.9. It signifies that the relationship between variables is fairly strong. On the other hand, p-value and t-statistics merely measure how strong is the evidence that there is non zero association.

What is a correlation coefficient in statistics?

The correlation coefficient is the specific measure that quantifies the strength of the linear relationship between two variables in a correlation analysis. The coefficient is what we symbolize with the r in a correlation report.

What is Pearson correlation if X Y?

Pearson correlation (r), which measures a linear dependence between two variables (x and y). It’s also known as a parametric correlation test because it depends to the distribution of the data. It can be used only when x and y are from normal distribution. The plot of y = f(x) is named the linear regression curve.

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#### What does Pearson’s correlation show?

The Pearson correlation measures the strength of the linear relationship between two variables. It has a value between -1 to 1, with a value of -1 meaning a total negative linear correlation, 0 being no correlation, and + 1 meaning a total positive correlation.

What two things does a correlation coefficient represent 5 points?

What does the correlation coefficient indicate? The magnitude, or amount of relationship, and the direction of the relationship. The correlation coefficient can have either a positive or negative direction and a magnitude between -1.00 and +1.00.

What is the formula for the correlation co-efficient?

Correlation Co-efficient Formula. Here is the correlation co-efficient formula used by this calculator. Correlation(r) = NΣXY – (ΣX)(ΣY) / Sqrt([NΣX 2 – (ΣX) 2][NΣY2 – (ΣY) 2]) Formula definitions. N = number of values or elements in the set. X = first score.

## What does it mean if the correlation coefficient is positive?

If correlation coefficient value is positive, then there is a similar and identical relation between the two variables. Else it indicates the dissimilarity between the two variables. The covariance of two variables divided by the product of their standard deviations gives Pearson’s correlation coefficient. It is usually represented by ρ (rho).

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How do you find the correlation between two variables?

r = s xy. s xs y. r is often denoted as r xy to emphasize the two variables under consideration. For samples, the correlation coefficient is represented by r while the correlation coefficient for populations is denoted by the Greek letter rho (which can look like a p).

How do you find the correlation coefficient from the standard deviation?

The correlation coefficient is determined by dividing the covariance by the product of the two variables’ standard deviations. Standard deviation is a measure of the dispersion of data from its average. Covariance is a measure of how two variables change together.