You run a regression for Y using a single X variable, where the sample mean of X is 20.5 and the sum of squared deviations of the X values from their mean is XXXXXXXXXXThe sample size is 50, and the...




You run a regression for Y using a single X variable, where the sample mean of X is 20.5 and the sum of squared deviations of the X values from their mean is 196.0. The sample size is 50, and the standard error of estimate in the regression output is 157.5. Now you want to predict Y when X equals 25.5. Which of the following is the most accurate?




























a. The standard error of the prediction of an individual Y value when X = 25.5 is about 60.5.










b. The standard error of the prediction of an individual Y value when X = 25.5 is about 168.7.










c. Prediction in this case is risky. It amounts to extrapolation because an X value of 25.5 is about five standard deviations from the mean of 20.5.









d. The standard error of the prediction of the mean of Y when X = 25.5 is about 22.3.



Jun 08, 2022
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