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    Using Graphs to Illustrate RelationshipsBetween Economic Variables

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    Appendix

    FIGURE 1A-1

    Bar Graphs and Pie Charts

    Graphs of One Variable

    Values for an economic variable are often displayed as a bar graph or as a pie chart.In this case, panel (a) shows market share data for the U.S. automobile industry as a bar graph, where themarket share of each group of firms is represented by the height of its bar.Panel (b) displays the same information as a pie chart, with the market share of each group of firmsrepresented by the size of its slice of the pie.

    Review the use of graphsand formulas.

    LEARNINGOBJECTIVE

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    Appendix

    FIGURE 1A-2

    Time-Series Graphs

    Graphs of One Variable

    Both panels present time-series graphs of Ford Motor Companys worldwide sales during each year from2001 to 2008. Panel (a) has a truncated scale on the vertical axis, and panel (b) does not.As a result, the fluctuations in Fords sales appear smaller in panel (b) than in panel (a).

    Review the use of graphsand formulas.

    LEARNINGOBJECTIVE

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    Appendix

    FIGURE 1A-3

    Plotting Price and Quantity

    Points in a Graph

    Graphs of Two Variables

    The figure shows a two-dimensional grid on which wemeasure the price of pizza alongthe vertical axis (or y-axis) andthe quantity of pizza sold per

    week along the horizontal axis (orx-axis).Each point on the grid representsone of the price and quantitycombinations listed in the table.By connecting the points with aline, we can better illustrate therelationship between the twovariables.

    Review the use of graphsand formulas.

    LEARNINGOBJECTIVE

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    Appendix

    FIGURE 1A-4

    Calculating the Slope

    of a Line

    Slopes of Lines

    Change in value on the vertical axis y RiseSlope

    Change in value on the horizontal axis x Run

    ($12 $14) 20.2

    (65 55) 10

    Price of pizzaSlope

    Quantity of pizza

    We can calculate the slopeof a line as the change inthe value of the variable on

    the y-axis divided by thechange in the value of thevariable on thex-axis.Because the slope of astraight line is constant, wecan use any two points inthe figure to calculate theslope of the line.For example, when the price

    of pizza decreases from $14to $12, the quantity of pizzademanded increases from55 per week to 65 per week.So, the slope of this lineequals2 divided by 10, or0.2.

    Graphs of Two Variables

    Review the use of graphsand formulas.

    LEARNINGOBJECTIVE

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    Appendix

    FIGURE 1A-6

    Graphing the Positive

    Relationship between

    Income and Consumption

    Graphs of Two Variables

    Positive and Negative Relationships

    In a positive relationship

    between two economicvariables, as one variable

    increases, the other variable

    also increases. This figure

    shows the positive relationship

    between disposable personal

    income and consumption

    spending.

    As disposable personal income

    in the United States hasincreased, so has consumption

    spending.

    Review the use of graphsand formulas.

    LEARNINGOBJECTIVE

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    Appendix

    FIGURE 1A-7

    Determining Cause and Effect

    Graphs of Two Variables

    Determining Cause and Effect

    Using graphs to draw conclusions about cause and

    effect can be hazardous. In panel (a), we see that

    there are fewer leaves on the trees in a neighborhood

    when many homes have fires burning in their fire

    places. We cannot draw the conclusion that the fires

    cause the leaves to fall because we have an omitted

    variablethe season of the year.

    In panel (b), we see that more lawn mowers are

    used in a neighborhood during times when the

    grass grows rapidly and fewer lawn mowers are

    used when the grass grows slowly. Concluding that

    using lawn mowers causesthe grass to grow faster

    would be making the error of reverse causality.

    Review the use of graphsand formulas.

    LEARNINGOBJECTIVE

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    Appendix

    Graphs of Two Variables

    Are Graphs of Economic Relationships Always Straight Lines?

    The graphs of relationships between twoeconomic variables that we have drawn so

    far have been straight lines.

    The relationship between two variables islinearwhen it can be represented by astraight line.

    Few economic relationships are actuallylinear.

    Review the use of graphsand formulas.

    LEARNINGOBJECTIVE

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    Appendix

    Graphs of Two Variables

    Slopes of Nonlinear Curves

    FIGURE 1A-8

    The Slope of a Nonlinear Curve

    The relationship between the quantity

    of iPods produced and the total cost of

    production is curved rather than linear.

    In panel (a), in moving from pointAto

    point B, the quantity producedincreases by 1 million iPods, while the

    total cost of production increases by

    $50 million.

    Farther up the curve, as we move from

    point C to point D, the change in

    quantity is the same1 million iPods

    but the change in the total cost of

    production is now much larger: $250

    million.Because the change in the yvariable

    has increased, while the change in the

    xvariable has remained the same, we

    know that the slope has increased.

    Review the use of graphsand formulas.

    LEARNINGOBJECTIVE

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    Appendix

    Graphs of Two Variables

    Slopes of Nonlinear Curves

    FIGURE 1A-8 (continued)

    The Slope of a Nonlinear Curve

    In panel (b), we measure the slope of

    the curve at a particular point by the

    slope of the tangent line. The slope of

    the tangent line at point Bis 75, and

    the slope of the tangent line at point Cis 150.

    Review the use of graphsand formulas.

    LEARNINGOBJECTIVE

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    Using Graphs to Show Current

    Economic Trends

    A Look at Current National Economic IndicatorsPublished by the Federal Reserve Bank of New York

    and the Federal Reserve Bank of St. Louis

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