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Chapter 3: Q.1.3 (page 167)
Predict the rat鈥檚 weight after weeks. Show your work
The rat's weight after weeks grams
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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)
Measurements on young children in Mumbai, India, found this least-squares line for predicting height y from the arm span x Measurements are in centimeters (cm).
In addition to the regression line, the report on the
Mumbai measurements says that This suggests that
(a) although arm span and height are correlated, arm span does not predict height very accurately.
(b) height increases by for each additional centimeter of arm span.
(c) of the relationship between height and arm span is accounted for by the regression line.
(d) of the variation in height is accounted for by the regression line.
(e) of the height measurements are accounted for by the regression line.
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
Outsourcing by airlines Airlines have increasingly outsourced the maintenance of their planes to other companies. Critics say that the maintenance may be less carefully done, so that outsourcing creates a safety hazard. As evidence, they point to government data on percent of major maintenance outsourced and percent of flight delays blamed on the airline (often due to maintenance problems): Make a scatterplot by hand that shows how delays relate to outsourcing.
(a) Describe the direction, form, and strength of the relationship between maintenance outsourcing and delays blamed on the airline.
(b) One airline is a high outlier in delay percent. Which airline is this? Aside from the outlier, does the plot show a roughly linear form? Is the relationship very strong?
Southern education For a long time, the South has lagged behind the rest of the United States in the performance of its schools. Efforts to improve education have reduced the gap. We wonder if the South stands out in our study of state average SAT Math scores.
The figure below enhances the scatterplot in Figure (page ) by plotting southern states in red.
(a) What does the graph suggest about the southern states?
(b) The point for West Virginia is labeled in the graph. Explain how this state is an outlier.
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