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AP Stats Chpt 7 Flashcards

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14846204666Modelan equation or formula that simplifies and represents reality0
14846206590Linear ModelAn equation of a line. To interpret a linear model, we need to know the variables and their units.1
14846209923predicted valuefound by substituting the x-value in the regression equation; they're the values on the fitted line2
14846213832residualthe differences between data values and the corresponding values predicted by the regression model3
14846222160Least squaresThis criterion specifies the unique line that minimizes the variance of the residuals, or equivalently, the sum of the squared residuals.4
14846233657regression to the meanSince the correlation is always less than 1 in magnitude, each predicted y-hat tends to be fewer standard deviations from its mean than its corresponding x was from its mean.5
14846247967regression line (line of best fit)the particular linear equation that satisfies the least squares criterion6
14846251484SlopeThis gives a value in y-units per x-unit.7
14846261247InterceptThis is the starting value in y units. It is the y-hat value when x is 0.8
14846273255R^2Coefficient of determination. Gives the fraction of the variability of y accounted for by the LSRL on x.9
14846286913Does the Plot Thicken? Conditionthe scatterplot or residuals plot should show consistent (vertical) spread in y-values10
14846294533Standard deviation of the residualsGives the approximate size of a "typical" prediction error.11

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