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Decide, at the Given Significance Level, Whether the Data Provide

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Essay

Decide, at the given significance level, whether the data provide sufficient evidence to conclude that x is useful forpredicting y.
-The sample data below are the index of exposure (x)to radioactive waste for nine different Oregon counties and cancer mortality rate (y)(deaths per 100,000). x2.492.573.411.251.623.8311.646.418.34y147.1130.1129.9113.5137.5162.3207.5177.9210.3y^=114.72+9.23x\begin{array}{l} \begin{array} { l l l l l l l l l l } \hline \mathrm { x } & 2.49 & 2.57 & 3.41 & 1.25 & 1.62 & 3.83 & 11.64 & 6.41 & 8.34 \\ \hline \mathrm { y } & 147.1 & 130.1 & 129.9 & 113.5 & 137.5 & 162.3 & 207.5 & 177.9 & 210.3 \\ \hline \end{array}\\ \hat { y } = 114.72 + 9.23 x \end{array} The standard error of the estimate is approximately 14.0099. At the 5% level of significance, do the data provide sufficient evidence to conclude that the slope of the population regression line is not 0 and hence that index of exposure is useful as a predictor of cancer mortality rate?

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Definitions:

Transactional Leadership

A leadership style focused on the exchanges between leaders and followers, where rewards are given for accomplishments or penalties for failure.

Transactional Leadership

A leadership style focused on the exchange between leaders and followers, relying on rewards and punishments to achieve compliance.

Passive Management

A leadership or managerial style characterized by a lack of direct intervention, letting things take their own course without guiding or correcting.

Active Management

A management style that involves being hands-on and deeply involved in the day-to-day operations and decision-making process of the team or organization.

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