Among the many strategies that investors use to try to predict trends in the stock market is the €œearly warning€ system, which is based on the premise that what the market does in the first week in January is indicative of what it will do over the next twelve months. Listed in the following table for the eighteen years from 1991 through 2008 are x, the percentage change in the Dow Jones Industrial Average for the first week in January, and y, the percentage change for the entire year. Quantify the strength of the linear relationship between X and Y. Use the following sums:

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