2. Correlation basics Which of the following statements about correlation are true? Check all that apply. If the correlation between two variables is –1, it indicates a perfect negative linear relationship between the two variables. A negative correlation means that two variables tend to change in opposite directions. The sign of the correlation indicates the direction of the relationship between two variables. If the correlation between two variables is close to 1, there is a positive linear relationship between the two variables. The correlation is scaleless; that is, it doesn’t change when the measurement units are changed for either or both of the variables. Correlation measures and describes the behavior of a single variable. The sign of the correlation indicates the strength or consistency of the linear relationship between two variables.

It is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

Positive correlation is an association amid two variables in which both variables change in the same direction.

A positive correlation occurs when one variable declines as the other variable declines, or one variable escalates while the other escalates.

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.

If there is any alteration in the value of one variable, the value of the other variable is altered in a fixed proportion. The correlation amid them is known as perfect correlation.

In statistics, a perfect positive correlation is represented by +1 and -1 indicates a perfect negative correlation.

The correlation coefficient is scaleless. This implies that the value of the correlation coefficient does not changes if the scale of one or both the variables are altered.

Thus, the correct statements are: 1, 2, 3, 4 and 5.

fichoh fichoh · Answer 2 · 2021-11-19T19:24:58+01:00

Correlation describes the relationship between two variables. The measure of the strength and direction of the relationship or correlation is given by the correlation Coefficient. Hence, the true statements include ;

Values of - 1 and +1 indicates a perfect negative and a perfect positive linear relationship respectively. The closer the value is to +1 or - 1, the higher the strength of the relationship.

Negative relationship means that both variables behave in opposite manner. An increase in one variable leads to a decrease in the other and vice versa.

Correlation Coefficient has no unit, hence, it isn't affected by change in measurement units.

The sign of the correlation shows the direction of the relationship.

Hence, options 1,2,3,4 and 5 are correct.

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