Question: In a study conducted in Italy, 10 patients with hypertriglyceridemia were placed on a low-fat, high carbohydrate diet. Before the start of the diet, cholesterol and triglyceride measurements were recorded for each subject.

1. Construct a two-way scatter plot of these data.
2. Does their appear to be any evidence of a linear relationship between cholesterol and trigylceride levels prior to dieting?
3. Compute the r, Pearson correlation coefficient.
4. Compute a \(95 \%\) confidence interval for the correlation coefficient.
5. At the 0.05 level of significance, test the null hypothesis that the population correlation \(\rho\) is equal to 0.

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