Given the Linear Correlation Coefficient R and the Sample Size $\mathrm { r } = 0.893 , \mathrm { n } = 9$

question 51

Multiple Choice

Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.
- $\mathrm { r } = 0.893 , \mathrm { n } = 9$

• A) Critical values: \(r = \pm 0.666\), significant linear correlation
• B) Critical values: \(r = 0.666\), no significant linear correlation
• C) Critical values: \(r = \pm 0.666\), no significant linear correlation
• D) Critical values: \(\mathrm { r } = - 0.666\), no significant linear correlation

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Definitions:

Cleavage

In geology, the tendency of a mineral to break along flat, parallel surfaces determined by its crystal structure.

Hornfels

A hard, fine-grained metamorphic rock formed by the contact metamorphism of clay-rich or silicate rocks.

Thrust Fault

A type of fault in which the upper block, above the fault plane, moves up and over the lower block.

Anticline

A type of fold in sedimentary rocks that resembles an arch, with the oldest rock layers at its core, indicative of compressional tectonic forces.