THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 118

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Given a simple regression analysis,suppose that we have obtained the fitted regression model:
_i = 6 + 8x_i and also the following statistics: s_e = 3.20,
= 8,n = 42,and
-Find the 95% prediction interval for the point where x =18.

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Definitions:

Seasonal Multiplicative Model

A time series forecasting method that accounts for multiplicative seasonal variations in the data.

Holt-Winters Additive Model

A forecasting technique that extends exponential smoothing to capture seasonality and trend in time series data.

Seasonality

Periodic fluctuations in data or phenomena that occur regularly based on a season, quarter, month, etc.

Mean Absolute Deviation

The average of the absolute differences between each data point and the mean of the data set.