# Which of the following statements about correlation is true

## Which of the following statement is true about correlation?

The correct answer is option d.

The correlation value between the given two variables denotes the **strength and direction of the linear relationship between** them. Its value always lies between -1 and 1.

## Which of the following is the correct definition of correlation?

Correlation refers to

**a measure of how strongly two or more variables are related to each other**.## What is true about the correlation between two variables?

Complete correlation between two variables is expressed by either

**+ 1 or -1**. When one variable increases as the other increases the correlation is positive; when one decreases as the other increases it is negative. Complete absence of correlation is represented by 0.## Which of the following is true for coefficient of correlation?

The correlation coefficient is a tool which

**measures the connectivity between the movement of two variables**. It cannot calculate the non linear relationship between the variables.## Which is true for the coefficient of correlation r?

The value of r is

**always between –1 and +1**: –1 ≤ r ≤ 1. The size of the correlation r indicates the strength of the linear relationship between X_{1}and X_{2}. Values of r close to –1 or to +1 indicate a stronger linear relationship between X_{1}and X_{2}.## What is negative correlation example?

A negative correlation is a relationship between two variables in which an increase in one variable is associated with a decrease in the other. An example of negative correlation would be

**height above sea level and temperature**. As you climb the mountain (increase in height) it gets colder (decrease in temperature).## What is good about Pearson’s correlation?

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 does a negative correlation mean in statistics?

Negative correlation is

**a relationship between two variables in which one variable increases as the other decreases, and vice versa**. … A perfect negative correlation means the relationship that exists between two variables is exactly opposite all of the time.## Which best describes the strength of the correlation and what is true about the causation between the variables?

The correlation coefficient relating the two variables is -0.26. Which best describes the strength of the correlation, and what is true about the causation between the variables? …

**It is a weak negative correlation, and it is likely causal.**## Which statement best illustrates a negative correlation?

What statement best illustrates a negative correlation between the number of hours spent watching TV the week before an exam and the grade on that exam?

**Students who watch more TV perform more poorly on their exams.**## Which statement is an example of a positive correlation?

A positive correlation exists when two variables move in the same direction as one another. A basic example of positive correlation is

**height and weight**—taller people tend to be heavier, and vice versa.## Do perfect correlations exist in the real world?

**It is uncommon to find a perfect positive relationship in the real world**. Chances are that if you find a positive correlation between two variables that the correlation will lie somewhere between 0 and 1.

## What is the application of correlation?

Correlation is a

**statistical method used to assess a possible linear association between two continuous variables**. It is simple both to calculate and to interpret.## How do you know if a correlation is positive or negative?

If

**the correlation coefficient is greater than zero, it is**a positive relationship. Conversely, if the value is less than zero, it is a negative relationship.## What is strong positive correlation?

Strong positive correlation: When

**the value of one variable increases, the value of the other variable increases in a similar fashion**. For example, the more hours that a student studies, the higher their exam score tends to be. Hours studied and exam scores have a strong positive correlation.## What is correlation distinguish between positive and negative correlation?

A positive correlation means that the variables move in the same direction. Put another way, it means that as one variable increases so does the other, and conversely, when one variable decreases so does the other. A

**negative correlation means that the variables move in opposite directions**.## Is positive correlation good?

A perfectly positive correlation means that 100% of the time, the variables in question move together by the exact same percentage and direction. A positive correlation can be seen between the demand for a product and the product’s associated price. … A positive correlation

**does not guarantee growth or benefit**.## What type of correlation is?

There are three basic types of correlation:

**positive correlation**: the two variables change in the same direction. negative correlation: the two variables change in opposite directions. no correlation: there is no association or relevant relationship between the two variables.## What is correlation in research?

A correlational research design

**investigates relationships between variables without the researcher controlling or manipulating any of them**. A correlation reflects the strength and/or direction of the relationship between two (or more) variables. The direction of a correlation can be either positive or negative.## What is a weak correlation?

A weak correlation means that

**as one variable increases or decreases, there is a lower likelihood of there being a relationship with the second variable**. In a visualization with a weak correlation, the angle of the plotted point cloud is flatter. If the cloud is very flat or vertical, there is a weak correlation.