Which of the following statements about correlation are true? check all that apply.

1. Correlation basicsWhich of the following statements about correlation are true?Check all that apply.If the correlation between two variables is 0, there is no clear linear relationship between the twovariables.The sign of the correlation indicates the direction of the relationship between two variables.A positive correlation means that two variables tend to change in the same direction.A negative correlation means that two variables tend to change in the same direction.Correlation measures and describes the behavior of a single variable.If the correlation between two variables is close to –1, there is a negative linear relationshipbetween the two variables.Correlation is a numerical value between 1.1 and 2.Explanation:Correlationis a statistical technique used to measure and describe the relationship between twoquantitative variables. Correlation measures both the direction and the strength of the linearrelationship between two variables.Points:1 / 1Close Explanation

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Which of the following statements about correlation are true? check all that apply.

Transcribed Image Text:1. Correlation basics Which of the following statements about correlation are true? Check all that apply. If the correlation between two variables is close to 1, there is a 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. The sign of the correlation indicates the direction of the relationship between two variables. Correlation measures and describes the behavior of a single variable. The correlation is scaleless; that is, it doesn't change when the measurement units are changed for either or both of the variables. The correlation indicates the strength and the direction of the linear relationship between two variables. O O O O O

Which of the following statements about correlation are true? check all that apply.

Which of the following statements about correlation are true? check all that apply.

Which of the following statements about correlation are true? check all that apply.

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    Which of the following statements are true of correlations?

    The correct answer is 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.

    What is true correlation?

    Correlation is one of the most common statistics. Using one single value, it describes the "degree of relationship" between two variables. Correlation ranges from -1 to +1. Negative values of correlation indicate that as one variable increases the other variable decreases.

    Which of the following statements about correlation is not true *?

    Answer and Explanation: a) The statement "A correlation of 1 indicates that there is little or no linear relationship between the two variables" is incorrect as correlation of 1 indicates that there is perfect positive correlation between the two variables.

    What is true about the correlation between two variables?

    Correlation between two variables indicates that changes in one variable are associated with changes in the other variable. However, correlation does not mean that the changes in one variable actually cause the changes in the other variable. Sometimes it is clear that there is a causal relationship.