Estimation of Correlation Coefficient (Leaving Cert Mathematics): Quizzes

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Estimation of Correlation Coefficient
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What does the correlation coefficient rr measure?

Strength & direction of linear relationship

What is the range of values for the correlation coefficient rr?

−1-1 to +1+1

What does r=+1r = +1 indicate?

Perfect positive linear relationship

What does r=−1r = -1 indicate?

Perfect negative linear relationship

What does r=0r = 0 indicate?

No linear relationship

If scatter plot points form an upward-sloping line, what type of correlation is present?

Positive

If scatter plot points form a downward-sloping line, what type of correlation is present?

Negative

How do you identify a strong correlation from a scatter plot?

Points closely clustered around a line

If points are tightly aligned on a scatter plot, what is the approximate value of rr?

r≈±0.9r \approx \pm 0.9 or higher

If points show moderate spread on a scatter plot, what is the approximate value of rr?

r≈±0.5r \approx \pm 0.5

If points show significant scatter on a scatter plot, what is the approximate value of rr?

r≈±0.2r \approx \pm 0.2 or lower

Does correlation imply causation?

No

What effect can outliers have on the correlation coefficient?

Significantly affect it

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