STATISTICAL TECHNIQUES AND TOOLS
REGRESSION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Extreme scores.
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The ratio of explained variation to the total variation.
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The mean between the observed scores.
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The differences between the observed and expected dependent variable scores.
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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. Residual = actual y value − predicted y value, r i = y i − y i ^ .
Detailed explanation-2: -The correct answer is C) The difference between a dependent variable’s actual value and what the regression line predicts. Y is the actual value of the dependent variable, Y hat is the value predicted of the dependent variable estimated using the regression equation, and e is the residual term.
Detailed explanation-3: -The difference between the observed Y and the predicted Y (Y-Y’) is called a residual. The predicted Y part is the linear part. The residual is the error.
Detailed explanation-4: -The residual is the difference between the observed value and the estimated value of the quantity of interest (for example, a sample mean).