A Pearson correlation coefficient ranges from β1 to +1 and indicates the strength and direction of a linear relationship. A value of +0.85 is close to +1, suggesting that as one variable increases, the other tends to increase as well in a fairly consistent manner. Although not perfect, this coefficient reflects a strong positive association between the two variables.
Option A:
Option A correctly labels the relationship as strong and positive (and, in the context of Pearsonβs r, linear). A coefficient of +0.85 indicates a substantial positive linear association between the variables.
Option B:
Option B claims there is no relationship, which would correspond to a coefficient near zero rather than +0.85. Such a high value clearly signals substantial association.
Option C:
Option C suggests a perfect negative relation, which would correspond to β1.00, not +0.85. Negative correlations indicate that one variable increases while the other decreases.
Option D:
Option D states that the variables are completely independent of each other, which would imply a correlation close to 0, not a large positive value like +0.85.
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