Sparrowhawk colonies. One of nature’s patterns connectsthe percent of adult birds in a
colony that return from the previous year and the numberof new adults that join the colony. It
is expected that the percent return of adult birds fromthe previous year can be used to predict
how many new adult birds will join a colony. The dataset sparrowhawk.xlsx contains
information for 13 colonies of sparrowhawks. Thevariables are the percent of adult birds in a
colony that return from the previous year (Percentreturn) and the number of new adults that
join the colony (New adults).
(a) Using an appropriate graphical display and the summarystatistics, describe the distribution
of the percent of adult birds in a colony that return from theprevious year (Percent return).
(b) Using an appropriate graphical format, display AND describethe relationship between the
percent of adult birds in a colony that return from the previousyear (Percent return) and
the number of new adults that join the colony (New adults).
(c) Find the sample correlation coefficient between the percentof adult birds in a colony that
return from the previous year (Percent return) and the number ofnew adults that join the
colony (New adults). Comment.
(d) Fit a least-squares line to the data. Write down theequation of the fitted line (model) and
interpret all parameters in the model
(e) Predict how many new adult birds will join the colony, when30% and 70% of the adults
from the previous year return respectively
Percent return (%) | New adults |
74 | 5 |
66 | 6 |
81 | 8 |
52 | 11 |
73 | 12 |
62 | 15 |
52 | 16 |
45 | 17 |
62 | 18 |
46 | 18 |
60 | 19 |
46 | 20 |
38 | 20 |
