The Equation of the Regression Line for the Paired Data $\hat { y } = 3 x$

question 4

Multiple Choice

The equation of the regression line for the paired data below is $\hat { y } = 3 x$ . Find the explained variation.
$\begin{array}{l|rrrr}\mathrm{x} & 2 & 4 & 5 & 6 \\\hline \mathrm{y} & 7 & 11 & 13 & 20\end{array}$

• A) \(88.75\)
• B) \(10.00\)
• C) \(72.45\)
• D) \(78.75\)

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Definitions:

Confidence Interval

A collection of numerical values from sample data, considered likely to include the value of a hidden population parameter.

Population Mean

The average of a set of characteristics or values for a population, calculated by summing all the values and dividing by the count of items in the population.

Splitting

In nuclear magnetic resonance (NMR) spectroscopy, the phenomenon where a signal is divided into multiple peaks due to interactions between neighboring nuclear spins.

Relative Area

A term often used in chromatography and spectroscopy to compare the size or intensity of features such as peaks or signals, relative to others in a dataset.