A statistical analysis results in a model equation $$y = -1.7x + 73$$, with a correlation coefficient of $$-0.95$$. Are the two quantities in this model strongly correlated?

Flashcard 12 - Mathematics: Probabilistic and Statistical Reasoning Flashcard Set for the TSIA2

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yes

Explanation:

The correlation coefficient is the measure of how strongly they are related. The range is $-0.99$ for a strong negative correlation to $+0.99$ for a strong positive correlation. In this case it is a strong negative correlation, where an increase in one quantity is strongly related to a decrease in the other quantity.

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