Which of the following statements is true of the correlation analysis?A. The null hypothesis for the Pearson correlation coefficient states that there is always a strong association between two variables.B. The Pearson correlation coefficient measures the degree of linear association which ranges from 0 to 1.0.C. The larger the correlation coefficient, the weaker the association between two variables.D. The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero.E. The Pearson correlation coefficient measures the degree of linear association between three variables.
Answer: D
The true statement of these options is D. The null hypothesis for the Pearson correlation coefficient states that the correlation coefficient is zero.
Explanation:
A. This statement is false. The null hypothesis for the Pearson correlation coefficient states that there is no significant linear association between the two variables, not necessarily that there is always a strong association.
B. This statement is partially correct. The Pearson correlation coefficient measures the degree of linear association between two variables and ranges from -1 to +1.
C. This statement is false. The larger the correlation coefficient, the stronger the association between two variables.
D. This statement is true. The null hypothesis for the Pearson correlation coefficient states that there is no significant linear association between the two variables, which is equivalent to saying that the correlation coefficient is zero.
E. This statement is false. The Pearson correlation coefficient measures the degree of linear association between two variables only, not between three variables.
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