vocabulary for linear regression study
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| input variable | the independent variable
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| line of best fit | a line whose equation represents the smallest possible differences between the squares of observed minus predicted values on a line
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| linear correlation coefficient | the strength of a linear relationship between two variables, determined by the preciseness of shift in y as x increases.
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| linear regression | the straight line that best describes the relationship between two variables
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| negative correlation | a correlation in which an increase in x leads to a decrease in y.
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| ordered pairs | a mathematical expression (x, y) where x is the input variable written first, and y is the output variable written second.
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| output variable | the dependent variable
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| positive correlation | a correlation in which an increase in x leads to an increase in y.
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| predicted value | the value of y calculated by modeling a particular value of x with a prediction equation.
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| prediction equation | an equation that models a mathematical relationship between x and y with an algebraic expression.
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| scatter plot | a plot of all the ordered pairs of bivariate data on a coordinate axis system.
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| slope | the ratio of the rise over the run of a line.
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| bivariate data | data that describes two characteristics for each observation
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| correlation coefficient | the numerical measure of the direction and strength of a linear association
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| interpolation | using the line of regression to predict a y-value for an x-value within the x-data
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| extrapolation | using the line of regression to predict a y-value for an x-value outside of the x-data set
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| residual | the difference between the observed value of y and the predicted value of y
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| residual plot | a scatterplot of the residuals plotted to the x-values or predicted y-values
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| coefficient of determination | r squared measures the percentage of total variation in the response variable that is explained by the least-squares regression line
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Review the information in the table. When you are ready to quiz yourself you can hide individual columns or the entire table. Then you can click on the empty cells to reveal the answer. Try to recall what will be displayed before clicking the empty cell.
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To hide a column, click on the column name.
To hide the entire table, click on the "Hide All" button.
You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
If you know all the data on any row, you can temporarily remove it by tapping the trash can to the right of the row.
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Created by:
rbankston
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