Suppose that some researcher, with nothing else better to do, were to estimate a model for each of the 500 baseball players with the most plate appearances in 2017. The model is: (# lightning strikes in the U.S. that night) = b0 + b1 *(# hits player had in game that day) + e The researcher is surprised to find that seven of the 500 players had a statistically significant estimate of b1 , with a p-value below 0.01 – four were positive and significant, and three were negative and significant. Thus, this researcher concluded that four players generate so much excitement with their hits that it must change the weather and produce lightning. a. What is wrong with this conclusion? b. What other information needs to be considered before concluding that there is a real empirical relationship between the number of hits for these players and the number of lightning strikes?
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