Use the Rank Correlation Coefficient to Test for a Correlation

question 64

Essay

Use the rank correlation coefficient to test for a correlation between the two variables?
Ten trucks were ranked according to their comfort levels and their prices. $$\begin{array} { c c c } \text { Make } & \text { Comfort } & \text { Price } \\\hline \text { A } & 1 & 6 \\\text { B } & 6 & 2 \\\text { C } & 2 & 3 \\\text { D } & 8 & 1 \\\text { E } & 4 & 4 \\\text { F } & 7 & 8 \\\text { G } & 9 & 10 \\\text { H } & 10 & 9 \\\text { I } & 3 & 5 \\\text { J } & 5 & 7\end{array}$$ Find the rank correlation coefficient and test the claim of correlation between comfort and
price. Use a significance level of 0.05.

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Definitions:

Statistically Significant

A term indicating that a result from data analysis is unlikely to have occurred by chance.

Linear

Pertaining to or resembling a line; often used to describe relationships that can be graphically represented by a straight line.

Correlation Coefficient

The correlation coefficient is a numerical measure of some type of correlation and dependence, meaning statistical relationships between two or more variables.

Independent Variable

A variable in an experiment that is manipulated to observe its effect on a dependent variable.