Interpreting and Predicting From a Linear Model (VCE SSCE General Mathematics): Flashcards

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Interpreting and Predicting From a Linear Model
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General form of linear regression equation

y=a+bxy = a + bx

Slope bb in regression equation

Average change in yy for each one-unit change in xx

Intercept aa in regression equation

Expected value of yy when xx equals zero

Definition of interpolation

Making predictions within the range of original data

Definition of extrapolation

Making predictions outside the range of original data

Reliability of interpolation

Generally reliable

Reliability of extrapolation

Generally unreliable

Mnemonic for interpolation

IN-terpolation = IN the data range = reliable

Mnemonic for extrapolation

EX-trapolation = EX-ternal to data range = unreliable

Main risk of extrapolation

Linear relationship may not continue outside data range

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