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Chapter 3: Q 76. (page 210)
One child in the Mumbai study had height 59 cm and arm span 60 cm. This child鈥檚 residual is
a. 鈭�3.2 cm.
b. 鈭�2.2 cm.
c. 鈭�1.3 cm.
d. 3.2 cm.
e. 62.2 cm.
The correct option is (a)
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Husbands and wives The mean height of American women in their early twenties is inches and the standard deviation is inches. The mean height of men the same age is inches, with standard deviationinches. The correlation between the heights of husbands and wives is about
(a) Find and interpret this value in context.
(b) For these data, . Explain what this value mean
A school guidance counselor examines how many extracurricular activities students participate in and their grade point average. The guidance counselor says, 鈥淭he evidence indicates the correlation between the number of extracurricular activities. a student participates in and his or her grade point average is close to 0.鈥� Which of the following is the most appropriate conclusion?
a. Students involved in many extracurricular activities tend to be students with poor grades.
b. Students with good grades tend to be students who are not involved in many extracurricular activities.
c. Students involved in many extracurricular activities are just as likely to get good grades as bad grades.
d. Students with good grades tend to be students who are involved in many
extracurricular activities.
e. No conclusion should be made based on the correlation without looking at a scatterplot of the data.
Husbands and wives The mean height of married American women in their
early 20s is 64.5 inches and the standard deviation is 2.5 inches. The mean height of married men the same age is 68.5 inches with standard deviation 2.7 inches. The correlation between the heights of husbands and wives is about r = 0.5.
a. Find the equation of the least-squares regression line for predicting a husband鈥檚 height from his wife鈥檚 height for married couples in their early 20s.
b. Suppose that the height of a randomly selected wife was 1 standard deviation below average. Predict the height of her husband without using the least-squares line.
Born to be old? Is there a relationship between the gestational period (time from conception to birth) of an animal and its average life span? The figure shows a scatterplot of the gestational period and average life span for 43 species of animals.
a. Describe the relationship shown in the scatterplot.
b. Point A is the hippopotamus. What effect does this point have on the correlation, the equation of the least-squares regression line, and the standard deviation of the residuals?
c. Point B is the Asian elephant. What effect does this point have on the correlation, the equation of the least-squares regression line, and the standard deviation of the residuals?
More heavy backpacks Refer to your graph from Exercise Describe the relationship between body weight and backpack weight for this group of hikers.
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