Perform the Required Correlation Test The Sample Linear Correlation Coefficient Is R = 0

question 25

Essay

Perform the required correlation test. You may presume that the assumptions for regression inferences are met.
-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). $$\begin{array} { l l l l l l l l l l } \hline \mathrm { x } & 2.49 & 2.57 & 3.41 & 1.25 & 1.62 & 3.83 & 11.64 & 6.41 & 8.34 \\ \hline \mathrm { y } & 147.1 & 130.1 & 129.9 & 113.5 & 137.5 & 162.3 & 207.5 & 177.9 & 210.3 \\ \hline \end{array}$$ The sample linear correlation coefficient is r = 0.926. At the 5% significance level, do the data provide sufficient evidence to conclude that index of exposure and cancer mortality rate are linearly correlated?

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Definitions:

Gross Profit

The difference between sales revenue and the cost of goods sold, representing the basic profit from buying and selling goods or services.

LIFO Method

Last In, First Out method; an inventory valuation method where the last items placed in inventory are the first ones to be used or sold.

Rising Prices

An economic condition characterized by an increase in the cost of goods and services over time, affecting purchasing power.

Average Costing

A method of inventory costing that determines the cost of goods sold and ending inventory value by calculating a weighted average of all costs for goods available for sale.