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The Following Trend Line and Seasonal Indexes Were Computed from Five

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The following trend line and seasonal indexes were computed from five years of quarterly observations:  The following trend line and seasonal indexes were computed from five years of quarterly observations:   =1800+75 t-2 t^{2}  .  \begin{array} { | c c | }  \hline \text { Quarter } & S I _ { t } \\ \hline 1 & 0.575 \\ 2 & 0.825 \\ 3 & 1.225 \\ 4 & 1.375 \\ \hline \end{array}  Forecast the four quarterly values for next year. =1800+75t2t2=1800+75 t-2 t^{2} .  Quarter SIt10.57520.82531.22541.375\begin{array} { | c c | } \hline \text { Quarter } & S I _ { t } \\\hline 1 & 0.575 \\2 & 0.825 \\3 & 1.225 \\4 & 1.375 \\\hline\end{array} Forecast the four quarterly values for next year.


Definitions:

Test Statistic

A calculated value used in statistical testing to determine if the null hypothesis can be rejected.

Distribution

A mathematical description of observed or theoretical frequencies of occurrence of different possible outcomes in a dataset.

Sampling Distribution

The probability distribution of a given random-sample-based statistic, used to make inferences about a population.

Mean

The arithmetic average of a set of numbers, calculated by adding all the values together and dividing by the number of values.

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