For the Data Below, Determine the Value of the Linear $$\begin{array} { l | l c c c l } \mathrm { x } & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \\\hline \mathrm { y } & 1.6 & 4.7 & 8.9 & 9.5 & 12.0\end{array}$$

question 76

Essay

For the data below, determine the value of the linear correlation coefficient r between y and ln x and test whether the linear correlation is significant. Use a significance level of 0.05. $$\begin{array} { l | l c c c l } \mathrm { x } & 1.2 & 2.7 & 4.4 & 6.6 & 9.5 \\\hline \mathrm { y } & 1.6 & 4.7 & 8.9 & 9.5 & 12.0\end{array}$$

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Definitions:

Correlated

When two or more variables are related in some manner, indicating that a change in one variable is associated with a change in another.

Predictive Validity

Predictive validity refers to the extent to which a score on a scale or test predicts future behavior or outcomes.

IQ Test

A uniform test intended to evaluate a person's intelligence and cognitive capacities.

Predictive Validity

How well a rating on an examination or metric anticipates subsequent success in a similar endeavor.