2. Correlation basics Aa Aa Which of the following statements about correlation

Question

2. Correlation basics Aa Aa Which of the following statements about correlation are true? Check all that apply. A positive correlation means that two variables tend to change in the same direction. ? If the correlation between two variables is 1, it indicates a perfect positive linear relationship between the two variables. The sign of the correlation indicates the strength or consistency of the linear relationship between two variables If the correlation between two variables is 0, there is no clear linear relationship between the two variables. ? If the correlation between two variables is close to-1, there is a negative 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.

Explanation / Answer

following statement is true about corelation

the corelation between two varible is 1 , it's indicate the perfect positive liner relation between two varible.

explanation: +1 alwys denote perfect positive ccorelation where both variable chenge in positive direction.for example, high increasing economic status contribute high standards of living .

2. If the corelation between two varible is zero , there is no clear linear relationship between two varible.

example:

There is no Relationship between two variable is called zero corelation. For example , drunk tea has no relation with Intelligence . Both variable are independent.

3. If the corelation between two varible is close to -1 , there is negetive relationship between two variable.

explanation:

Negetive corelation is denotes as -1 where one variable increasing and other variable decrease .

For example, a student who has many absence has decrese in grade.

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