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If two datasets have high positive correlation, the slope of a regression line fit to those datasets will be negative?

a. True
b. false

User Shandel
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1 Answer

3 votes

Final answer:

If two datasets have a high positive correlation, the slope of the regression line will be positive, not negative. Therefore, the answer is false.

Step-by-step explanation:

When two datasets have a high positive correlation, this indicates that as one variable increases, the other also increases, and when one variable decreases, the other also decreases.

Due to this relationship, the slope of a regression line fit to those datasets will be positive, not negative. Thus, the correct answer to the question 'If two datasets have high positive correlation, the slope of a regression line fit to those datasets will be negative?' is false.

It's important to understand that a negative slope indicates two variables have a negative relationship; essentially, when one variable increases, the other decreases, and vice versa, which is not the case in a positive correlation scenario.

User Rudyryk
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