Conducting a Regression Analysis Using Data (VCE SSCE General Mathematics): Flashcards

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Conducting a Regression Analysis Using Data
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Explanatory Variable (EV) in regression

Variable used to make predictions, plotted on x-axis

Response Variable (RV) in regression

Variable we are trying to predict, plotted on y-axis

DFSO acronym for describing scatterplots

Direction, Form, Strength, Outliers

Regression equation form

y=a+bxy = a + bx where aa = intercept, bb = slope

Slope (bb) interpretation in regression

Average change in response per one-unit increase in explanatory

Intercept (aa) interpretation in regression

Predicted response value when explanatory variable equals zero

Correlation coefficient (rr) measures

Strength and direction of linear relationship

Coefficient of determination (r2r^2) meaning

Proportion of variation in response explained by explanatory

Purpose of a residual plot

Check whether a linear model is appropriate for the data

Good residual plot shows

Random scatter of points around zero with no clear pattern

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