Use the Given Data to Find the Equation of the Regression

question 174

Multiple Choice

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
- $\begin{array}{|l|lllll}\mathrm{x} & 0 & 3 & 4 & 5 & 12 \\\hline \mathrm{y} & 8 & 2 & 6 & 9 & 12\end{array}$

• A) \(\hat { y } = 4.88 + 0.625 \mathrm { x }\)
• B) \(\hat { y } = 4.88 + 0.525 x\)
• C) \(\hat { y } = 4.98 + 0.425 x\)
• D) \(\hat { y } = 4.98 + 0.725 x\)

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Definitions:

Experiments

Empirical procedures carried out in controlled conditions to verify the validity of hypotheses or determine the efficacy of something previously untried.

Random Events

Outcomes or occurrences that are unpredictable and determined entirely by chance.

Probability

The measure of the likelihood that an event will occur, quantified as a number between 0 and 1, with 1 indicating certainty.

Tree Diagram

A diagram used to show the total number of possible outcomes in a probability experiment.