SCENARIO 16-13 Given Below Is the Monthly Time Series Data for U.S.retail

question 128

Short Answer

SCENARIO 16-13
Given below is the monthly time series data for U.S.retail sales of building materials over a specific year.
The results of the linear trend,quadratic trend,exponential trend,first-order autoregressive,second-order autoregressive and third-order autoregressive model are presented below in which the coded month for the 1^st month is 0:
Linear trend model:

Quadratic trend model:
Third-order autoregressive::

Below is the residual plot of the various models:

-Referring to Scenario 16-13,what is the p-value of the t test statistic for testing the appropriateness of the third-order autoregressive model?

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Definitions:

Nominal Variable

A categorical variable for which different values represent different categories without any intrinsic ranking order.

Interval Data

A type of numerical data involving measurements where both the order and the exact differences between the measurements matter, but there is no true zero point.

Quantitative Data

Data that can be quantified and verified, and is amenable to statistical manipulation. It represents the quantity of something rather than its quality.

Numerical Data

Information that is quantifiable and usually collected in number form, used for statistical analysis or calculations.