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Consider a Time Series with 15 Quarterly Sales Observations

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Consider a time series with 15 quarterly sales observations. Using the quadratic trend model, the following partial computer output was obtained.
Consider a time series with 15 quarterly sales observations. Using the quadratic trend model, the following partial computer output was obtained.    State the two-sided null and alternative hypotheses to test the significance of the t<sup>2</sup> term. State the two-sided null and alternative hypotheses to test the significance of the t2 term.


Definitions:

Pearson Correlation

A measure of the linear correlation between two variables, quantified by a coefficient that ranges from -1 to 1.

Degrees Freedom

The number of independent pieces of information used in the calculation of a statistic, often symbolized as "df".

F-ratio Equation

Used in ANOVA tests, it calculates the ratio of variation between group means to the variation within the groups.

Correlation

Mutual or reciprocal relationship between two variables such that systematic changes in the values of one variable are accompanied by systematic changes in the values of another variable.

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