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In an Effort to Decide If There Is an Association

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Essay

In an effort to decide if there is an association between the year of a postal increase and the new postal rate for first class mail, the data were gathered from the United States Postal Service. In 1981, the United States Postal Service changed their rates on March 22 and November 1. This information is shown in the table below.

Year Rate19710.0819740.1019750.1319780.1519810.1819810.2019850.2219880.2519910.2919950.32\begin{array}{|c|c|}\hline \text {Year} &\text { Rate} \\\hline 1971 & 0.08 \\\hline 1974 & 0.10 \\\hline 1975 & 0.13 \\\hline 1978 & 0.15 \\\hline 1981 & 0.18 \\\hline 1981 & 0.20 \\\hline 1985 & 0.22 \\\hline 1988 & 0.25 \\\hline 1991 & 0.29 \\\hline 1995 & 0.32 \\\hline\end{array}

-Would it be better for customers for a year to have a negative residual or a positive residual from this model? Explain.


Definitions:

Scale Error

A cognitive error observed in young children where they misjudge the size of objects, attempting interactions that are not possible due to size discrepancies.

Conservation Skills

Cognitive abilities described by Piaget where a child understands that certain properties of objects remain the same despite changes in their form or arrangement.

Deferred Imitation

A cognitive behavior in which an individual reproduces the actions of others after a delay.

Visible Imitation

The act of copying someone’s actions or behaviors that are observed, as a form of learning or social interaction.

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