Unidentified Flying Objects. Have you or any of your friends sighted any unidentified flying objects (UFOs)? Americans in each of the 50 states have reported seeing UFOs. Figure 30 represents a scatterplot of the number of UFO sightings versus state population, for each of the 50 states. Each dot represents a state. The straight line is a regression line, which approximates the relationship between UFO sightings and state population. As the state population increases, the number of UFO sightings also tends to increase, which is not surprising.

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Figure 4.30: FIGURE 30 A scatterplot of the number of UFO sightings versus state population, showing that UFOs don’t mess with Texas.

What may be surprising is that the UFOs seem to be attracted to certain states, yet avoid others. States considerably above the regression line have a larger than expected number of UFO sightings for their population size, whereas states below the line have a smaller than expected number of UFO sightings for their population size. So, there are more sightings than expected in California, Wisconsin, and Utah, given their population size, and fewer than expected in Texas. Why this might occur is open to discussion. Perhaps people in California are more likely to attribute unusual sightings to UFOs than most Americans; perhaps people in Texas are more pragmatic than most Americans. But if the sightings are valid (a big if!), it sure looks like the UFOs don’t want to mess with Texas. Refer to Figure 30 for Exercises 76–79.

Question 4.174

76. Provide a rough estimate of the following for the state of California.

  1. State population
  2. UFO sightings