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An analyst collects a data set and fits a simple linear regression model. In predicting the outcome for a new point x0=5 , the analyst
An analyst collects a data set and fits a simple linear regression model. In predicting the outcome for a new point x0=5 , the analyst evaluates two types of intervals, a 95% confidence interval and a 95% prediction interval. (A) Of the two calculated intervals presented below, which one represents the 95% confidence interval for E[Y0] ? (12.6, 19.4) (11.6, 20.4) (12.6, 19.4) (B) The analyst provides the following summary statistics for the explanatory variable, x : Statistic Min. 1st Qu. Med. Mean 3rd Qu. Max. Value 10.3 14.7 16.5 16.2 17.8 21.7 Would you trust the analyst's confidence and prediction intervals calculated above by the analyst? Select only one of the following reasons: Yes - the values are evaluated accurately. Yes - the intervals lie within the range for the explanatory variable. No - the intervals should not overlap. No - the prediction is for some point outside a reasonable range of the data
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