Use the Given Data to Find the Equation of the Regression

question 11

Multiple Choice

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
- $\begin{array}{r|rrrrr}\mathrm{x} & 1 & 3 & 5 & 7 & 9 \\\hline \mathrm{y} & 143 & 116 & 100 & 98 & 90\end{array}$

• A) \(\hat { y } = 150.7 - 6.8 x\)
• B) \(\hat { y } = - 150.7 + 6.8 x\)
• C) \(\hat { y } = - 140.4 + 6.2 x\)
• D) \(\hat { y } = 140.4 - 6.2 x\)

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Definitions:

Alternative Explanations

Different reasons or theories proposed to explain the same phenomenon, especially when the original explanation is challenged.

True Experiment

A type of scientific experiment where the researcher manipulates one variable and controls/randomizes the rest to observe the effect on a dependent variable.

Quasi-Experiment

A research design lacking random assignment of subjects to experimental and control groups, yet employing intervention and examination of its effects.

Random Assignment

A method used in experiments that randomly allocates participants to different groups in order to eliminate bias and ensure the groups are comparable.