A study was carried out to relate sales revenue y (in thousands of dollars) to advertising expenditure x (also in thousands of dollars) for fast-food outlets during a 3 month period. A sample of 15 outlets yielded the accompanying summary quantities.\\ $\sum x = 14.30$ $\sum y = 1438.30$ $\sum x^2 = 13.91$\ $\sum y^2 = 140,355$ $\sum xy = 1388.20$\ $\sum (y - \bar{y})^2 = 2401.84$ $\sum (y - \hat{y})^2 = 561.44$
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