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:

Population Proportion

The ratio of members in a group or category to the total population under study.

Alternative Hypothesis

A hypothesis that proposes a specific relationship or difference between variables, contrary to the null hypothesis.

Population Proportion

The fraction or percentage of a total population that possesses a particular characteristic.

Null Hypothesis

A statistical hypothesis that assumes no significant difference or effect in a given set of observations.