Khan Academy l mt t chc phi li nhun vi s mnh cung cp mt nn gio dc ng cp th gii, min ph cho bt c ai, bt c ni no. This is a video presented by Alissa Grant-Walker on how to calculate the coefficient of determination. Hc min ph v ton hc, ngh thut, lp trnh my tnh, kinh t, vt l, ha hc, sinh hc, y hc, ti chnh, lch s, v nhiu hn na. For more information, please see [ Video Examples Example 1 To account for this, an adjusted version of the coefficient of determination is sometimes used. Thus, in the example above, if we added another variable measuring mean height of lecturers, $R^2$ would be no lower and may well, by chance, be greater - even though this is unlikely to be an improvement in the model. Sal shows how to solve a system of linear equations by graphing and looking for the point of intersection. This means that the number of lectures per day account for $89.5$% of the variation in the hours people spend at university per day.Īn odd property of $R^2$ is that it is increasing with the number of variables.

There are a number of variants (see comment below) the one presented here is widely used It is therefore important when a statistical model is used either to predict future outcomes or in the testing of hypotheses. In the context of regression it is a statistical measure of how well the regression line approximates the actual data.

The coefficient of determination, or $R^2$, is a measure that provides information about the goodness of fit of a model.

Contents Toggle Main Menu 1 Definition 2 Interpretation of the $R^2$ value 3 Worked Example 4 Video Examples 5 External Resources 6 See Also Definition

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