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One of nature's patterns connects the percent of adult birds in a colony that return from the previous year and the number of new adults

  1. One of nature's patterns connects the percent of adult birds in a colony that return from the previous year and the number of new adults that join the colony. Here are data for 13 colonies of sparrowhawks:
  2. Percent return
  3. 74
  4. 66
  5. 81
  6. 52
  7. 73
  8. 62
  9. 52
  10. 45
  11. 62
  12. 46
  13. 60
  14. 46
  15. 38
  16. New adults
  17. 5
  18. 6
  19. 8
  20. 11
  21. 12
  22. 15
  23. 16
  24. 17
  25. 18
  26. 18
  27. 19
  28. 20
  29. 20
  30. A scatterplot of the data shows that there is a linear relationship between the percent x of adult sparrowhawks that return to a colony from the previous year and the number y of new adult birds that join the colony.
  31. Reference: Ref 4-9
  32. The least-squares regression line for predicting y from x is:
  33. = 31.934 - 0.304x
  34. = -0.304 + 31.934x
  35. = -31.934 + 0.304x
  36. = 0.304 - 31.934x

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