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Chapter 3: Q.1.4 (page 167)
Should you use this line to predict the rat鈥檚 weight at age years? Use the equation to make the prediction and think about the reasonableness of the result. (There aregrams in a pound.)
No, it cannot be used for predictions. Because the weight of a newborn is not possible for a rat.
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Beer and blood alcohol The example on page describes a study in which adults drank different amounts of beer. The response variable was their blood alcohol content (BAC). BAC for the same amount of beer might depend on other facts about the subjects. Name two other variables that could account for the fact that
56. Do heavier people burn more energy? Refer to Exercise
(a) Use your calculator to make a residual plot. Describe what this graph tells you about how well the line fits the data.
(b) Which point has the largest residual? Explain what the value of that residual means in context.
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.
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.
Least-squares ideaTrace the graph from Exercise on your paper. Show why the line drawn on the plot is called the least-squares line.
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