506 10 10-1 Correlation 10-2 Regression 10-3 Prediction Intervals and Variation 10-4 Multiple Regression 10-5 Nonlinear Regression Are Powerball Ticket Lines Longer When the Jackpot is Higher? CORRELATION AND REGRESSION Table 10-1 lists paired data consisting of amounts of Powerball lottery jackpots (millions of dollars) and numbers of lottery tickets sold (millions). Many of us have seen that ticket lines for lotteries often grow large when the jackpot is high. Is that just anecdotal evidence, or are there data to support the theory that more lottery tickets are sold when the jackpot is higher? We will analyze the data in Table 10-1 to address questions such as these: • Is there a correlation between lottery jackpot amounts and numbers of tickets sold? • If there is a correlation between lottery jackpot amounts and numbers of tickets sold, can we describe it with an equation so that we can predict the numbers of tickets sold when given the lottery jackpot amount? • Will increasing the lottery jackpot cause an increase in sales of lottery tickets? CHAPTER PROBLEM
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