AP Stat Chapter 3 - Describing Relationships (Bivariate Data): Sentence Templates

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8 Terms

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scatterplot

There is a [strong/weak] [positive/negative] [linear/curved/circular/quadratic] relationship between [x-context] and [y-context]. There [do/do not] appear to be any outliers. 

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correlation (r)

There is a [strength], [direction] linear relationship between [variable1] & [variable2].

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slope of a regression line (b)

As [explanatory variable] increases by one [unit], the predicted [response variable] increases by [b] [units]. 

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y-intercept of a regression line (a)

When [x-context] is zero, the predicted [y-context] is [a] [units]. 

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predicted value (ŷ)

[y-hat] is the predicted value of [response variable y] when [explanatory variable] is [input amount]. 

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residual

The actual/true [y-context] is [higher/lower] than the predicted [y-context] by [residual].

Or   

The LSRL [over/under]predicts the actual value of [y-context] by [residual].

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standard deviation of the residuals

When using the LSRL, the predicted number of [y-context] is typically [s units] off from the actual number. 

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coefficient of determination (r2)

About [r2]% of the variability in [y-context] is accounted for by the least-squares regression line.