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A2 Acc LinReg Vocab

Vocabulary required for working with regression lines

TermDefinition
line of best fit a line whose equation represents the smallest possible differences between the squares of observed minus predicted values on a line
correlation coefficient the numerical measure of the direction and strength of a linear association
negative correlation a correlation in which an increase in x leads to a decrease in y.
input variable the independent variable
output variable the dependent variable
positive correlation a correlation in which an increase in x leads to an increase in y.
predicted value the value of y calculated by modeling a particular value of x with a prediction equation.
prediction equation an equation that models a mathematical relationship between x and y with an algebraic expression.
scatter plot a plot of all the ordered pairs of bivariate data on a coordinate axis system.
slope the rate of change in predicted y-values per unit change in the x-value (rise/run)
bivariate data data that describes two characteristics (modeled as x and y) for each observation
interpolation using the line of regression to predict a y-value for an x-value within the x-data (between the smallest and largest given x-values)
extrapolation using the line of regression to predict a y-value for an x-value outside of the x-data set (below the smallest given x-value or above the largest given x-value)
residual the difference between the observed value of y and the predicted value of y
residual plot a scatterplot of the residuals plotted to the x-values or predicted y-values
Created by: hfisher
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