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The following table gives the number of organ transplants performed in the United States each year from 1990 to 1999 (The Organ Procurement and Transplantation Network, 2003): Year 1 (1990) Number of Transplants (in thousands) 23456789 10 (1999) 15.0 15.7 16.1 17.6 18.3 19.4 20.0 20.3 21.4 21.8 a. Construct a scatterplot of these data, and then find the equation of the least-squares regression line that describes the relationship between y = number of transplants performed and x = year. Describe how the number of transplants performed has changed over time from 1990 to 1999. b. Compute the 10 residuals, and construct a residual plot. Are there any features of the residual plot that indicate that the relationship between year and number of transplants performed would be better described by a curve rather than a line? Explain.

The following table gives the number of organ transplants performed in the United States each year from 1990 to 1999 (The Organ Procurement and Transplantation Network, 2003): Year 1 (1990) Number of Transplants (in thousands) 23456789 10 (1999) 15.0 15.7 16.1 17.6 18.3 19.4 20.0 20.3 21.4 21.8 a. Construct a scatterplot of these data, and then find the equation of the least-squares regression line that describes the relationship between y = number of transplants performed and x = year. Describe how the number of transplants performed has changed over time from 1990 to 1999. b. Compute the 10 residuals, and construct a residual plot. Are there any features of the residual plot that indicate that the relationship between year and number of transplants performed would be better described by a curve rather than a line? Explain.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 7EA
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The following table gives the number of organ transplants performed in the United States each year from 1990 to 1999 (The Organ Procurement and Transplantation Network, 2003): Year 1 (1990) Number of Transplants (in thousands) 23456789 10 (1999) 15.0 15.7 16.1 17.6 18.3 19.4 20.0 20.3 21.4 21.8 a. Construct a scatterplot of these data, and then find the equation of the least-squares regression line that describes the relationship between y = number of transplants performed and x = year. Describe how the number of transplants performed has changed over time from 1990 to 1999. b. Compute the 10 residuals, and construct a residual plot. Are there any features of the residual plot that indicate that the relationship between year and number of transplants performed would be better described by a curve rather than a line? Explain.
Transcribed Image Text:The following table gives the number of organ transplants performed in the United States each year from 1990 to 1999 (The Organ Procurement and Transplantation Network, 2003): Year 1 (1990) Number of Transplants (in thousands) 23456789 10 (1999) 15.0 15.7 16.1 17.6 18.3 19.4 20.0 20.3 21.4 21.8 a. Construct a scatterplot of these data, and then find the equation of the least-squares regression line that describes the relationship between y = number of transplants performed and x = year. Describe how the number of transplants performed has changed over time from 1990 to 1999. b. Compute the 10 residuals, and construct a residual plot. Are there any features of the residual plot that indicate that the relationship between year and number of transplants performed would be better described by a curve rather than a line? Explain.
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