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Chapter 3: Q 72. (page 196)
The slope of the line in the figure above is closest to
The correct option is (c)
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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 a standard deviation of inches. The correlation between the heights of husbands and wives is about r = .
(a) Find the equation of the least-squares regression line for predicting the husband鈥檚 height from the wife鈥檚 height. Show your work.
(b) Use your regression line to predict the height of the husband of a woman who is inches tall. Explain why you could have given this result without doing the calculation
Least-squares ideaTrace the graph from Exercise on your paper. Show why the line drawn on the plot is called the least-squares line.
How does drinking beer affect the level of alcohol in our blood? The legal limit for driving in all states is . In a study, adult volunteers drank different numbers of cans of beer. Thirty minutes later, a police officer measured their blood alcohol levels.
How does the fuel consumption of a car change as its speed increases? Here are data for a British Ford Escort. Speed is measured in kilometers per hour, and fuel consumption is measured in liters of gasoline used per kilometers
role="math" localid="1649315389612"
(a) Make a scatterplot on your calculator.
(b) Describe the form of the relationship. Why is it not linear? Explain why the form of the relationship makes sense.
(c) It does not make sense to describe the variables as either positively associated or negatively associated. Why?
(d) Is the relationship reasonably strong or quite weak? Explain your answer.
Do heavier people burn more energy? Metabolic rate, the rate at which the body consumes energy, is important in studies of weight gain, dieting, and exercise. We have data on the lean body mass and resting metabolic rate for women who are subjects in a study of dieting. Lean body mass, given in kilograms, is a person鈥檚 weight leaving out all fat. Metabolic rate is measured in calories burned per hours. The researchers believe that lean body mass is an important influence on metabolic rate.
(a) Make a scatterplot on your calculator to examine the researchers鈥� belief.
(b) Describe the direction, form, and strength of the relationship.
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