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Chapter 3: Q 39. (page 203)
Residual wins Refer to Exercise 37. The Chicago Cubs won the World
Page Number: 203 Series in 2016. They had 103 wins and spent $182 million on the payroll. Calculate and interpret the residual for the Cubs.
Residual is
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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
There is a linear relationship between the number of chirps made by the striped ground cricket and the air temperature. A least-squares fit of some data collected by a biologist gives the model y^=25.2+3.3x , where x is the number of chirps per minute and y^ is the estimated temperature in degrees Fahrenheit. What is the predicted increase in temperature for an increase of = chirps per minute?
a. 3.3°F
b. 16.5°F
c. 25.2°F
d. 28.5°F
e. 41.7°F
Teenagers and corn yield Identify the explanatory variable and the response variable for the following relationships, if possible. Explain your reasoning.
a. The height and arm span of a sample of teenagers.
b. The yield of corn in bushels per acre and the amount of rain in the growing season.
Joan is concerned about the amount of energy she uses to heat her home.
The scatterplot shows the relationship between x = mean temperature in a particular month
and y = mean amount of natural gas used per day (in cubic feet) in that month, along with the regression line y^=1425−19.87x
a. Predict the mean amount of natural gas Joan will use per day in a month with a mean temperature of 30°F.
b. Predict the mean amount of natural gas Joan will use per day in a month with a mean temperature of 65°F.
c. How confident are you in each of these predictions? Explain your reasoning.
Fruit fly thorax lengths (2.2) Fruit flies are used frequently in genetic research because of their quick reproductive cycle. The length of the thorax (in millimeters) for male fruit flies is approximately Normally distributed with a mean of 0.80 mm and a standard deviation of 0.08 mm.21
a. What proportion of male fruit flies have a thorax length greater than 1 mm?
b. What is the 30th percentile for male fruit fly thorax lengths?
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