STATISTICAL TECHNIQUES AND TOOLS
REGRESSION
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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A residual is
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the difference between the squares of predicted values in a LSRL and data points on a scatterplot
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the difference between the observed x-value and the predicted x-value.
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the difference between the predicted x-value and the observed x-value.
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the difference between the observed y-value and the predicted y-value.
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Explanation:
Detailed explanation-1: -Definition. The residual for each observation is the difference between predicted values of y (dependent variable) and observed values of y . Residual=actual y value−predicted y value, ri=yi−^yi.
Detailed explanation-2: -True The residual is the difference between the observed value of the dependent variable and the predicted value of the dependent variable.
Detailed explanation-3: -For a pair of sample x, y values, the residual is the difference between the observed sample value of y and the y value that is predicted by using the regression equation.
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