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Concept explainers
In Exercises 14.70–14.80, use the technology of your choice to do the following tasks.
- a. Obtain a
scatterplot for the data. - b. Decide whether finding a regression line for the data is reasonable. If so, then also do parts (c)–(f).
- c. Determine and interpret the regression equation for the data.
- d. Identify potential outliers and influential observations.
- e. In case a potential outlier is present, remove it and discuss the effect.
- f. In case a potential influential observation is present, remove it and discuss the effect.
14.80 Shortleaf Pines. The ability to estimate the volume of a tree based on a simple measurement, such as the tree's diameter, is important to the lumber industry, ecologists, and conservationists. Data on volume, in cubic feet, and diameter at breast height, in inches, for 70 shortleaf pines were reported in C. Bruce and F. X. Schumacher’s Forest Mensuration (New York: McGraw-Hill, 1935) and analyzed by A. C. Akinson in the article "Transforming Both Sides of a Tree” (The American Statistician, Vol. 48, pp. 307–312). The data are presented on the WeissStats site.
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Chapter 14 Solutions
Introductory Statistics, Books a la Carte Plus NEW MyLab Statistics with Pearson eText -- Access Card Package (10th Edition)
- Life Expectancy The following table shows the average life expectancy, in years, of a child born in the given year42 Life expectancy 2005 77.6 2007 78.1 2009 78.5 2011 78.7 2013 78.8 a. Find the equation of the regression line, and explain the meaning of its slope. b. Plot the data points and the regression line. c. Explain in practical terms the meaning of the slope of the regression line. d. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 2019? e. Based on the trend of the regression line, what do you predict as the life expectancy of a child born in 1580?2300arrow_forwardFind the equation of the regression line for the following data set. x 1 2 3 y 0 3 4arrow_forward-Using the data in Table 6–11, answer the following: What is the slope? What is the intercept? Write the regression equation. Calculate a regression forecast for month 25.arrow_forward
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