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:

Inferiority

A feeling of being less than, inadequate, or not meeting the standards set by oneself or society.

Superiority

A sense or condition of being above or better than others, often manifesting in social, physical, or psychological domains.

Mature Early

To mature early means to reach a stage of mental, emotional, or physical development sooner than is typical for one's age group, displaying attributes or behaviors commonly found in older individuals.

Adult Behaviors

The patterns of conduct or actions exhibited by individuals upon reaching maturity, influenced by a range of psychological and social factors.