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Chapter 3: Q.45 (page 192)
Acid rain In the acid rain study of Exercise , the actual pH measurement for Week was. Find and interpret the residual for this week.
The residual for the week is
This line predicted a of that was too high for that week.
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Merlins breeding The percent of an animal species in the wild that survives to breed again is often lower following a successful breeding season. A study of merlins (small falcons) in northern Sweden observed the number of breeding pairs in an isolated area and the percent of males (banded for identification) that returned the next breeding season. Here are data for nine years:
Investigate the relationship between breeding pairs and percent return. Follow the four-step process.
Bird colonies One of nature鈥檚 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 colonies of sparrow-hawks:
(a) Describe the direction, form, and strength of the relationship between number of new sparrow-hawks in a colony and percent of returning adults.
(b) For short-lived birds, the association between these variables is positive: changes in weather and food supply drive the populations of new and returning birds up or down together. For long-lived territorial birds, on the other hand, the association is negative because returning birds claim their territories in the colony and don鈥檛 leave room for new recruits. Which type of species is the sparrow-hawk? Explain.
Acid rain Refer to Exercise . Would it be appropriate to use the regression line to predict pH after months? Justify your answer.
If women always married men who were years older than themselves, what would the correlation between the ages of husband and wife be?
(a) (c) (e) Can鈥檛 tell without
(b) (d) seeing the data
The scatterplots below show four sets of real data:
(a) repeats the manatee plot in Figures
(b) shows the number of named tropical storms and the number predicted before the start of hurricane season each year between and by William Gray of Colorado State University;
(c) plots the healing rate in micrometers (millionths of a meter) per hour for the two front limbs of several newts in an experiment; and
(d) shows stock market performance in consecutive years over a -year period.
The scatterplot in (b) contains an outlier: the disastrous season, which had named storms, including Hurricane Katrina. What effect would remove this point have on the correlation? Explain.
(a)
(b)
(c)
(d)
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