Use the results from Exercises \(9-11\) to write a summary about the correlation (or lack of correlation) between test scores and GNI.

Use the table below. The table shows the average achievement scores of 15-year-olds in science and mathematics along with the gross national incomes (GNI) of nine randomly selected countries for a recent year. (The GNI is a measure of the total value of goods and services produced by the economy of a country.)

Data from Exercises 9-11

9. At \(\alpha=0.10\), can you conclude that there is a significant correlation between science achievement scores and GNI?
10. At \(\alpha=0.10\), can you conclude that there is a significant correlation between mathematics achievement scores and GNI?
11. At \(\alpha=0.10\), can you conclude that there is a significant correlation between science and mathematics achievement scores?

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Science Mathematics GNI Country average average (in billions of dollars) Canada 528 516 1,529 France 495 493 2,458 Germany 509 506 3,437 Italy 481 490 1,815 Japan 538 532 4,549 Mexico 416 408 1,143 Spain 493 486 1,192 Sweden 493 494 503 United States 496 470 18,496