Construct the Indicated Prediction Interval for an Individual Y $\hat { y } = 73.012 + 0.8859 x$

question 36

Multiple Choice

Construct the indicated prediction interval for an individual y.
-The regression equation for the given paired data is $\hat { y } = 73.012 + 0.8859 x$ and the standard error of estimate is $\mathrm { s_e } = 2.78807 .$ Find the $95 \%$ prediction interval of $\mathrm { y }$ for $\mathrm { x } = 37$ .
$\begin{array}{r|rrrrrr}\mathrm{x} & 25 & 26 & 36 & 36 & 40 & 48 \\\hline \mathrm{y} & 95 & 95 & 102 & 109 & 110 & 114\end{array}$

• A) \(73.0 < \mathrm { y } < 114.2\)
• B) \(97.4 < \mathrm { y } < 114.2\)
• C) \(73.0 < y < 105.8\)
• D) \(97.4 < \mathrm { y } < 10.8\)

---

Definitions:

Intellectual Disability

A term used to describe a significantly reduced ability to understand new or complex information and to learn and apply new skills.

Divergent Thinking

Type of thinking in which a person starts from one point and comes up with many different ideas or possibilities based on that point.

Circular Thinking

A form of reasoning in which the conclusion is also used as one of the premises, often leading to logical fallacies.

Convergent Thinking

Type of thinking in which a problem is seen as having only one answer, and all lines of thinking will eventually lead to that single answer, using previous knowledge and logic.