95% Critical Values of the Sample Correlation Coefficient TableDegrees of Freedom: n - 2 Critical Values: (+ and -)1 0.9972 0.9503 0.8784 0.8115 0.7546 0.7077 0.6668 0.6329 0.60210 0.57611 0.55512 0.53213 0.51414 0.49715 0.48216 0.46817 0.45618 0.44419 0.43320 0.42321 0.41322 0.40423 0.39624 0.38825 0.38126 0.37427 0.36728 0.36129 0.35530 0.34940 0.30450 0.27360 0.25070 0.23280 0.21790 0.205100 0.195

relationship between a country's economic reliance on exports (as % of GDP, the gross domestic product) and the amount of aid that is given (US dollars per person). Aid Exports given Country (% of (USD GDP) per person) Australia 20.2 127 Austria 52.6 218 Belgium 78.3 185 Canada 34.3 123 Denmark 51.5 468 Finland 43.8 185 France 27.9 160 Germany 43,3 149 Greece 22.5 44.8 Ireland 80.8 275 Italy 27.4 67.4 Japan 17.5 60.1 Netherlands 68.8 380 New 29.2 75.8 Zealand Norway 43.3 787 Portugal 31.2 45.5 Spain 26 114 Sweden 47.6 473 Switzerland 61.3 222 United 25.2 163 Kingdom United 11.5 72.2 States [Source: gapminder.org] (a) Determine the independent variable and the dependent variable. (a) Use technology to create a scatterplot of the data. Does there appear to be a relationship between the variables? If so, describe this relationship. (c) Express the equation of the best fit line in the form y = a+ bx Round a to one decimal place and round b to three decimal places. (d) Are there any suspected outliers? Calculate the predicted value for this suspected outlier and compare to the actual value. (e) Test the significance of the correlation coefficient. State the null and alternative hypotheses. Use this Table of 95% Critical Values e to determine the critical value r State the conclusion of the test