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Chapter 3: Q 32. (page 175)
If women always married men who were 2 years older than themselves, what would be the correlation between the ages of husband and wife?
a. 2
b. 1
c. 0.5
d. 0
e. Can’t tell without seeing the data
The correct option is (b)
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Less gas? Refer to Exercise 38.
a. Interpret the slope of the regression line.
b. Does the value of the y intercept have meaning in this context? If so, interpret the y intercept. If not, explain why.
It’s still early We expect that a baseball player who has a high batting average in the first month of the season will also have a high batting average for the rest of the season. Using 66 Major League Baseball players from a recent season,33 a least-squares regression line was calculated to predict rest-of-season batting average y from first-month batting average x. Note: A player’s batting average is the proportion of times at-bat that he gets a hit. A batting average over 0.300 is considered very good in Major League Baseball.
a. State the equation of the least-squares regression line if each player had the same batting average the rest of the season as he did in the first month of the season.
b. The actual equation of the least-squares regression line is y^=0.245+0.109x
Predict the rest-of-season batting average for a player who had a 0.200 batting average the first month of the season and for a player who had a 0.400 batting average the first month of the season.
c. Explain how your answers to part (b) illustrate regression to the mean.
More hot dogs Refer to Exercise
a. Explain why it isn’t correct to say that the correlation is
b. What would happen to the correlation if the variables were reversed on the scatterplot? Explain your reasoning.
c. What would happen to the correlation if sodium was measured in grams instead of milligrams? Explain your reasoning.
Here are the weights (in milligrams) of diamonds from a nodule
carried up to the earth’s surface in surrounding rock. These data represent a population of diamonds formed in a single event deep in the earth.
Make a histogram to display the distribution of weight. Describe the distribution.
Manatees are large, gentle, slow-moving sea creatures found along the coast of Florida. Many manatees are injured or killed by boats. Here is a scatterplot showing the relationship between the number of boats registered in Florida (in thousands) and the number of manatees killed by boats for the years to Closer to Explain your reasoning.
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