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3. Listed below are the numbers of forest fires (in thousands) and the acres that were burned (in millions) during a year. Thousand Fires, x

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3. Listed below are the numbers of forest fires (in thousands) and the acres that were burned (in millions) during a year. Thousand Fires, x 71.5 48.9 66.2 85.9 47.6 73.5 67.8 92.4 Million Acres, y 10.0 1.8 2.9 2.7 4.3 7.2 9.3 5.6 a) Find and state the value of the sample correlation coefficient, r, to 3 significant digits. Find and state the critical value at a significance level of a = 0.05. Then determine and tell whether there is a significant linear correlation between the two variables. (5 points) b) State the equation for the least-squares regression line to 3 significant digits. (3 points) c) Use the least-squares regression equation to predict the number of acres burned during a year that had 57 thousand fires. Round to the same place value as the data. Include units. (2 points)

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