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figure  A.8


                Scatter Diagram                                    Standard of Living and Average Life Expectancy
                In a scatter diagram, each point represents the  Life expectancy
                                                    at birth (years)
                corresponding values of the x- and y-variables
                for a given observation. Here, each point indi-  85                                                    Section I  Basic Economic Concepts
                cates the observed average life expectancy and
                the log of GNP per capita of a given country for a  75
                sample of 158 countries. The upward-sloping fit-
                ted line here is the best approximation of the  65
                general relationship between the two variables.
                                                               55
                Source: Eduard Bos et al., Health, Nutrition, and Population
                Indicators: A Statistical Handbook (Washington, DC: World
                Bank, 1999).                                   45

                                                               35

                                                               0         4      6       8       10     12
                                                                                        Log GNP (per capita)




             the y-variable. In scatter diagrams, a curve is typically fitted to the scatter of points;
             that is, a curve is drawn that approximates as closely as possible the general relation-
             ship between the variables. As you can see, the fitted curve in Figure A.8 is upward-
             sloping, indicating the underlying positive relationship between the two variables.
             Scatter diagrams are often used to show how a general relationship can be inferred
             from a set of data.
               A pie chart shows the share of a total amount that is accounted for by various com-
             ponents, usually expressed in percentages. For example, Figure A.9 is a pie chart that
             depicts the various sources of revenue for the U.S. government budget in 2005, ex-
             pressed in percentages of the total revenue amount, $2,153.9 billion. As you can see, so-
             cial insurance receipts (the revenues collected to fund Social Security, Medicare, and
             unemployment insurance) accounted for 37% of total government revenue, and indi-
             vidual income tax receipts accounted for 43%.




                figure  A.9

                Pie Chart                         Receipts by Source for U.S. Government Budget 2005
                                                  (total: $2,153.9 billion)
                A pie chart shows the percentages of a total
                amount that can be attributed to various
                components. This pie chart shows the per-  Corporation
                centages of total federal revenues received  income taxes
                                                    13%                Social
                from each source.
                                                                     insurance
                Source: Office of Management and Budget.              receipts
                                                                       37%

                                                                Individual            Excise
                                                                 income               taxes
                                                                 taxes                 3%
                                                                  43%
                                                                                   Other
                                                                                    4%



                                                                           appendix     Graphs in Economics      43
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