1. Testing for Correlation Using the information provided in the display determine the value of the linear correlation coefficient. Given that there are 29 pairs of data, is there a significant linear correlation between the amount of tar and the amount of nicotine in a cigarette?
2. Identifying Total Variation What percentage of the total variation in nicotine can be explained by the linear relationship between tar and nicotine?
3. Predicting Nicotine Amount If a cigarette has 17 mg of tar, what is the single value that is the best predicted amount of nicotine? (Assume that there is a significant linear correlation between tar and nicotine.)
4. Finding Prediction Interval For a given tar amount of 17 mg, identify the 95% prediction interval estimate of the amount of nicotine, and write a statement interpreting that interval.