Use the Rank Correlation Coefficient to Test for a Correlation

question 123

Essay

Use the rank correlation coefficient to test for a correlation between the two variables. Use the
sample data below to find the rank correlation coefficient and test the claim of correlation
between math and verbal scores. Use a significance level of 0.05. $$\begin{array} { l l l l l l l l l l } \text { Mathematics } & 347 & 440 & 327 & 456 & 427 & 349 & 377 & 398 & 425 \\\hline \text { Verbal } & 285 & 378 & 243 & 371 & 340 & 271 & 294 & 322 & 385\end{array}$$

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Definitions:

Money Supply Growth

The increase in the total amount of monetary assets available in an economy at a specific time.

Unemployment Rate

The proportion of the workforce that is unemployed and actively seeking work.

Long-run Phillips Curve

An economic concept that represents the relationship between inflation and unemployment when the effects of short-term shocks have dissipated, showing no trade-off between inflation and unemployment in the long run.

Natural Rate

A concept in economics referring to the level of unemployment at which there is no cyclical or deficient-demand unemployment. It represents a balance between the supply of labor and job vacancies, considering that some frictional and structural unemployment is inevitable.