Product Moment Correlation Coefficient (Edexcel A-Level Further Mathematics): Quizzes

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Product Moment Correlation Coefficient
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What is the range of possible values for rr?

Between -1 and 1

What value of rr indicates perfect positive linear correlation?

r=1r = 1

What value of rr indicates perfect negative linear correlation?

r=1r = -1

What does r=0r = 0 indicate about the relationship between xx and yy?

No linear correlation

How does the gradient of the line affect the correlation coefficient rr?

Gradient has no bearing on rr

What are residuals in correlation analysis?

Vertical distances from the line

When is it NOT appropriate to calculate rr?

When the data is not linear

What effect does coding xx and yy have on rr?

No effect on rr

What does the PMCC measure?

How linearly correlated two variables are

In the PMCC formula r=SxySxxSyyr = \frac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}, what is in the numerator?

SxyS_{xy}

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