Displaying and Interpreting Data (HSC SSCE Mathematics Advanced): Quizzes

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Formulae for Correlation and Regression
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What type of correlation does Pearson's rr specifically measure?

Linear correlation

What are the units of Pearson's correlation coefficient rr?

rr has no units; it is a pure number

When is the product (xxˉ)(yyˉ)(x - \bar{x})(y - \bar{y}) positive?

When both lie on same side of means

What factors affect the value of rr?

Clustering of points & gradient sign

Which point does the regression line always pass through?

(xˉ,yˉ)(\bar{x}, \bar{y})

What does the least squares regression line minimize?

Sum of squares of vertical distances

How do the numerators of mm and rr relate?

They are identical

How is r=0.5r = 0.5 classified?

Moderate positive correlation

What is the formula for the yy-intercept bb in the regression line?

b=yˉmxˉb = \bar{y} - m\bar{x}

How is r0.26r \approx -0.26 classified?

Weak negative correlation

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