The superintendent of a school district wants to determine if there is a statistically significant correlation between expenditures and test scores. She finds the top 10 Sonoma County school districts, ranked by spending, and the test scores shown in Table 14.11. What is the correlation between the expenditure \((x)\) and the test score \((y)\) ? Is this correlation significant at either the \(5 \%\) or the \(1 \%\) significance level?

Table 14.11

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District Horicon Fort Ross Montgomery Monte Rio Kenwood Geyserville Alexander Valley Harmony Two Rock Roseland Expenditure $20,136 17,123 16,539 14,280 13,248 12,499 11,640 11,353 10,406 10,059 Test Score (API) 676 767 844 872 871 776 894 863 866 779