A.P. Statistics – Least Squares Regression (Chapter Five) Key Words

# A.P. Statistics – Least Squares Regression (Chapter Five) Key Words

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A.P. Statistics – Least Squares Regression (Chapter Five) Key Words least-squares regression a straight line that describes how a response variable y changes as an explanatory variable x changes. Often used to predict the value of y for a given value x. unlike correlation, requires an explanatory variable and a response variable. least-squares regression line the line that makes the vertical distances of the points in a scatterplot from the line as small as possible. LSRL ŷ=a + bx ŷ predicted value. y observed value. _____% of the variation in the response variable (y) is accounted for by the regression line. a measure of how successful the regression was in explaining the response. correlation and slope of LSRL a change of one standard deviation in x corresponds to a change of r standard deviations in y. residual the difference between an observed value of the response variable and the value predicted by the regression line. y - ŷ. the mean of the least-squares residuals of a LSLR is always zero.

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