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

question 20

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). $$\begin{array}{l} \begin{array} { l l l l l l l l l l } \hline \mathrm { x } & 2.49 & 2.57 & 3.41 & 1.25 & 1.62 & 3.83 & 11.64 & 6.41 & 8.34 \\ \hline \mathrm { y } & 147.1 & 130.1 & 129.9 & 113.5 & 137.5 & 162.3 & 207.5 & 177.9 & 210.3 \\ \hline \end{array}\\ \hat { y } = 114.72 + 9.23 x \end{array}$$ 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?

---

Definitions:

Strategic Initiatives

Action plans that management implements to achieve strategic objectives.

Strategic Objectives

The specific, measurable goals that a company aims to achieve in order to execute its strategy and achieve its long-term vision.

Balanced Scorecard

A strategic planning and management system used to align business activities to the vision and strategy of the organization.

Performance Perspectives

Performance categories for assessment on the balanced scorecard, traditionally made up of financial, internal processes, learning and growth, and customer perspectives.