1. Correlation basics Which of the following statements about the correlation co

Question

1. Correlation basics Which of the following statements about the correlation coefficient are true? Check all that apply. A correlation coefficient is a numerical value between 1.1 and 2. A positive correlation coefficient means that two variables tend to change in opposite directions If the correlation coefficient between two variables is close to 1, there is a positive linear relationship between the two variables. A negative correlation coefficient means that two variables tend to change in opposite directions. The correlation coefficient indicates the strength and the direction of the linear relationship between two variables If the correlation coefficient between two variables is 0, there is no clear linear relationship between the two variables The correlation coefficient is scaleless, that is, it doesn't change when the measurement unts are changed for either or both of the variables

Explanation / Answer

1) iii, iv, v and vii are correct answers, as they are true.

iii. The closer the correlation coefficient between two variable is to 1, the more positive is the relationship between two variables

iv. Negative correlation means that when one variable increases, the other decreases, and vice versa, They change in opposite directions.

v. Correlation coefficient indicates both strength and direction. Perfect negative correlation is represented by -1.00, perfect positive corelation by +1.00, and no correlation by 0.00.

vii. Correlation coefficient is unit less, it does not change when the units are changed. The values remain the same.

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