- Sparrowhawk colonies. 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:" 74 66 81 52 73 62 52 45 62 46 60 46 38 5 6 8 11 12 15 16 17 18 Percent return x New adults y 18 19 20 20 You saw in Exercise 4.28 that there is a moderately strong linear relationship, with correlation r = -0.748. SPARROWHAWKS (a) Find the least-squares regression line for predicting y from x. Make a scatterplot and draw your line on the plot. (b) Explain in words what the slope of the regression line tells us. (c) An ecologist uses the line, based on 13 colonies, to predict how many new birds will join another colony, to which 60% of the adults from the previous year return. What is the prediction?

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- Sparrowhawk colonies. 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:"
74 66 81 52 73 62 52 45 62 46 60 46 38
5 6 8 11 12 15 16 17 18
Percent return x
New adults y
18
19 20 20
You saw in Exercise 4.28 that there is a moderately strong linear
relationship, with correlation r = -0.748. SPARROWHAWKS
(a) Find the least-squares regression line for predicting y from
x. Make a scatterplot and draw your line on the plot.
(b) Explain in words what the slope of the regression line
tells us.
(c) An ecologist uses the line, based on 13 colonies, to predict
how many new birds will join another colony, to which 60% of
the adults from the previous year return. What is the prediction?
Transcribed Image Text:- Sparrowhawk colonies. 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:" 74 66 81 52 73 62 52 45 62 46 60 46 38 5 6 8 11 12 15 16 17 18 Percent return x New adults y 18 19 20 20 You saw in Exercise 4.28 that there is a moderately strong linear relationship, with correlation r = -0.748. SPARROWHAWKS (a) Find the least-squares regression line for predicting y from x. Make a scatterplot and draw your line on the plot. (b) Explain in words what the slope of the regression line tells us. (c) An ecologist uses the line, based on 13 colonies, to predict how many new birds will join another colony, to which 60% of the adults from the previous year return. What is the prediction?
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