The chief financial officer of a school district wants to determine if there is a statistically significant correlation between expenditures and test scores. He finds the top 10 Sonoma County school districts, ranked by test score, have the expenditures shown in Table 14.12. What is the correlation between the test score \((x)\) and the expenditure \((y)\) ? Is this correlation significant at either the \(5 \%\) or the \(1 \%\) significance level?

Table 14.12

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District Liberty Waugh Alexander Valley Bennett Valley Wilmar Ricon Valley Monte Rio Kenwood Gravenstein Two Rock Test Score (API) 913 903 894 883 876 873 872 871 870 866 Expenditure $ 7,990 7,600 11,640 6,908 8,293 7,913 14,280 13,248 6,479 10,406