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Chapter 3: Q 78. (page 197)
Measurements on young children in Mumbai, India, found this least-squares line for predicting height from the arm span x Measurements are in centimeters (cm).
One child in the Mumbai study had a height of and an arm spanThis child鈥檚 residual is
The correct option is (a)
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In its Fuel Economy Guide for model vehicles, the Environmental Protection Agency gives data on vehicles. There are a number of outliers, mainly vehicles with very poor gas mileage. If we ignore the outliers, however, the combined city and highway gas mileage of the other
or so vehicles is approximately Normal with mean miles per gallon (mpg) and standard deviation mpg.
In my Chevrolet The Chevrolet Malibu with a four-cylinder engine has a combined gas
mileage of . What percent of all vehicles have worse gas mileage than the Malibu?
How much gas? Refer to Exercise . Would it be appropriate to use the regression line to predict Joan鈥檚 natural-gas consumption in a future month with an average temperature of 掳F? Justify your answer
Joan is concerned about the amount of energy she uses to heat her home. The graph below plots the mean number of cubic feet of gas per day that Joan used each month against the average temperature that month (in degrees Fahrenheit) for one heating season.
(a) Does the plot show a positive or negative association between the variables? Why does this make sense?
(b) What is the form of the relationship? Is it very strong? Explain your answers.
(c) Explain what the point at the bottom right of the plot represents.
Outsourcing by airlines Exercise (page ) gives data for airlines on the percent of major maintenance outsourced and the percent of flight delays blamed on the airline.
(a) Make a scatterplot with outsourcing percent as and delay percent as Hawaiian Airlines is a high outlier in the direction. Because several other airlines have similar values of the influence of this outlier is unclear without actual calculation.
(b) Find the correlation with and without Hawaiian Airlines. How influential is the outlier for correlation?
(c) Find the least-squares line for predicting from with and without Hawaiian Airlines. Draw both lines on your scatterplot. Use both lines to predict the percent of delays blamed on an airline that has outsourced of its major maintenance. How influential is the outlier for the least-squares line?
Least-squares idea The table below gives a small set of data. Which of the following two lines 铿乼s the data better: ? Make a graph of the data and use it to help justify your answer. (Note: Neither of these two lines is the least-squares regression line for these data.)
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