Provide an Appropriate Response $95 \%$ Prediction Interval About the Value Of

question 35

Short Answer

Provide an appropriate response.
-A breeder of thoroughbred horses wishes to model the relationship between the gestation period and the length of life of a horse. The breeder believes that the two variables may follow a linear trend. The information in the table was supplied to the breeder from various thoroughbred stables across the state. Construct a $95 \%$ prediction interval about the value of $y$ when $x = 300$ days.
$\begin{array}{cccccc}\text { Horse } & \begin{array}{c}\text { Gestation } \\\text { period }\end{array} & \begin{array}{c}\text { Life } \\\text { Length } \\\text { x (days) }\end{array} & \text { Horse } & \begin{array}{c}\text { Gestation } \\\text { period }\end{array} & \begin{array}{c}\text { Life } \\\text { Length }\end{array} \\1 & 416 & 24 & 5 & 356 & 22 \\2 & 279 & 25.5 & 6 & 403 & 23.5 \\3 & 298 & 20 & 7 & 265 & 21 \\4 & 307 & 21.5 & & &\end{array}$

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Definitions:

Specific Action

A particular or well-defined behavior or task that is directed toward the completion of a goal.

Third Party

An entity involved in a transaction or situation that is neither the primary nor the secondary involved parties.

Assign The Blame

The act of determining responsibility for a mistake or wrongdoing, typically involving the identification of the person or entity at fault.

Mildly Disappointing Information

Details or news that might slightly upset or discourage the recipient but not to a severe extent.