Answer:
(a) In statistical analysis, a confidence interval is used to estimate the range within which the true population parameter (such as the mean) is likely to fall. On the other hand, a prediction interval is used to estimate the range within which an individual response value is likely to fall.
Based on the given information, interval A: 6 to 14, is likely the confidence interval for the mean response. This means that it provides an estimate of the range within which the mean response of the population is expected to lie.
Interval B: 7 to 13, is likely the prediction interval for the response. This means that it provides an estimate of the range within which individual response values for a specific value of the explanatory variable are expected to fall.
(b) The predicted value of the response variable for a specific value of the explanatory variable would typically be obtained using a regression model or some other predictive modeling technique. Without additional information about the model or data, it is not possible to determine the predicted value of the response variable for this particular value of the explanatory variable.
