The paper Increased Vital and Total Lung Capacities in

Chapter 0, Problem 5.31

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The paper Increased Vital and Total Lung Capacities in Tibetan Compared to Han Residents of Lhasa (American Journal of Physical Anthropology [1991]: 341351) included a scatterplot of vital capacity (y) versus chest circumference (x) for a sample of 16 Tibetan natives,from which the following data were read:x 79.4 81.8 81.8 82.3 83.7 84.3 84.3 85.2y 4.3 4.6 4.8 4.7 5.0 4.9 4.4 5.0x 87.0 87.3 87.7 88.1 88.1 88.6 89.0 89.5y 6.1 4.7 5.7 5.7 5.2 5.5 5.0 5.3a. Construct a scatterplot. What does it suggest about thenature of the relationship between x and y?b. The summary quantities areVerify that the equation of the least-squares line is, and draw this line on your scatterplot.c. On average, roughly what change in vital capacity isassociated with a 1-cm increase in chest circumference?with a 10-cm increase?d. What vital capacity would you predict for a Tibetannative whose chest circumference is 85 cm?e. Is vital capacity completely determined by chest circumference?Explain.