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A researcher is looking into viewership of The Bachelor and has found a strong, positive correlation between how dramatic the season is hyped up to

A researcher is looking into viewership of The Bachelor and has found a strong, positive correlation between how dramatic the season is hyped up to be and how many people are tuning in (r=0.78). They developed a drama scale and found that last season was pretty dramatic with episodes scoring an average of 7.9 with a standard deviation of 1.8. On average, 6.6 million viewers watched each episode, with a standard deviation of 420,000.

Well, that was nothing, because according to producers, this season is going to be the most dramatic one yet. In fact, average early viewing ratings have scored the last episode at an 8.3 on the drama scale.

  1. Based on this information, how many people do you predict will be watching the first episode?
  2. Halfway through the season it turns out that it was all just hype and there isn't much drama, after all. A later episode is rated at 5.5 on the drama scale. How many people are tuning in now?
  3. What if the correlation between the drama rating and viewership was 0? What would be your best prediction for the number of viewers for an episode rated a 10 in drama with that correlation?

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