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Chapter 12: Q. 2 (page 787)

Predicting high temperatures Using the daily high and low temperature readings at Chicago鈥檚 O鈥橦are International Airport for an entire year, a meteorologist made a scatterplot relating y=high temperature to x=low temperature, both in degrees Fahrenheit. After verifying that the conditions for the regression model were met, the meteorologist calculated the equation of the population regression line to be 渭y=16.6+1.02xwith 蟽=6.64掳F. a. According to the population regression line, what is the average high temperature on days when the low temperature is 40掳F? b. About what percent of days with a low temperature of 40掳F have a high temperature greater than 70掳F? c. If the meteorologist used a random sample of 10 days to calculate the regression line instead of using all the days in the year, would the slope of the sample regression line be exactly 1.02? Explain your answer.

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