Use the Given Data to Find the Equation of the Regression

question 100

Multiple Choice

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
- $\begin{array}{c|ccccc}x & 6 & 8 & 20 & 28 & 36 \\\hline \mathrm{y} & 2 & 4 & 13 & 20 & 30\end{array}$

• A) \(\hat{y} = - 3.79 + 0.897 x\)
• B) \(\hat { y } = - 3.79 + 0.801 x\)
• C) \(\hat{y} = - 2.79 + 0.950 x\)
• D) \(\hat{y} = - 2.79 + 0.897 x\)

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Definitions:

Defensive Attributions

Cognitive processes used to deflect blame from oneself and to prevent feelings of guilt or inadequacy, often by assigning responsibility to external factors.

Self-Serving Bias

A common tendency to attribute success to personal characteristics and failures to external factors for self-enhancement.

Actor-Observer Bias

A cognitive bias where individuals attribute their own actions to external situations while attributing others' actions to their personalities or dispositions.

Defensive Attribution

A psychological process by which individuals tend to attribute causes for successes and failures in a way that protects self-esteem.