The Regression Equation for the Given Paired Data Is $\hat { y } = 73.012 + 0.8859 \mathrm { x }$

question 61

Multiple Choice

The regression equation for the given paired data is $\hat { y } = 73.012 + 0.8859 \mathrm { x }$ and the standard error of estimate is $\mathrm { s } _ { \mathrm { e } } = 2.78807$ . 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) \(97.4 < y < 10.8\)
• B) \(73.0 < y < 114.2\)
• C) \(73.0 < y < 105.8\)
• D) \(97.4 <\) y \(< 114.2\)

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Definitions:

Bonus

An additional compensation given to employees as a reward for achieving targets or exceptional performance.

Incoming Partner

An individual who is joining an existing partnership, bringing capital, skills, or other resources into the business in exchange for a share of the profits and losses.

Partnership Books

Financial records and accounts specifically maintained to track the transactions and financial state of a partnership.

Capital Account

A financial statement that shows the changes in a company's equity during a specific period.