2. The table below shows percentage changes (x) in the Dow-Jones index overthe first fivetrading days...

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2. The table below shows percentage changes (x) in the Dow-Jones index overthe first fivetrading days ofeach ofthirteen years and also the corresponding percentage changes (v.) in another index. Xi 1.5 14.9 0.2 -9.2 -0.1 19.6 2.8 20.3 22 -1.6 -3.7 27.7 -1.3 22.6 5.6 2.3 -1.4 11.9 1.4 27.0 1.5 -4.3 -4.7 20.3 4.2 a. Calculate the sample correlation and interpret. (15 points) b. Testat the 1% significance level, against a two-sided altemative, the null hypothesis that the population correlation is 0. (15 points) 2. The table below shows percentage changes (x) in the Dow-Jones index overthe first fivetrading days ofeach ofthirteen years and also the corresponding percentage changes (v.) in another index. Xi 1.5 14.9 0.2 -9.2 -0.1 19.6 2.8 20.3 22 -1.6 -3.7 27.7 -1.3 22.6 5.6 2.3 -1.4 11.9 1.4 27.0 1.5 -4.3 -4.7 20.3 4.2 a. Calculate the sample correlation and interpret. (15 points) b. Testat the 1% significance level, against a two-sided altemative, the null hypothesis that the population correlation is 0. (15 points)