When it rains, it pours The figure below plots the

Chapter , Problem R3.7

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When it rains, it pours The figure below plots the record-high yearly precipitation in each state against that states record-high 24-hour precipitation. Hawaii is a high outlier, with a record-high yearly record of 704.83 inches of rain recorded at Kukui in 1982. 700 600 500 400 300 200 100 0 Maximum annual precipitation (inches) Maximum 24-hour precipitation (inches) 0 10 20 30 40 50 Hawaii (a) The correlation for all 50 states in the figure is 0.408. If we leave out Hawaii, would the correlation increase, decrease, or stay the same? Explain. (b) Two least-squares lines are shown on the graph. One was calculated using all 50 states, and the other omits Hawaii. Which line is which? Explain. (c) Explain how each of the following would affect the correlation, s, and the least-squares line: s Measuring record precipitation in feet instead of inches for both variables s Switching the explanatory and response variables

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