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6.13: Independent vs. Dependent Variable

  • Page ID
    45857
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    Learning Outcomes

    • Define dependent variable and independent variable

    Here is an overview of mixed costs, and creating a scattergraph to test our theory of the behavior of the costs.

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    A YouTube element has been excluded from this version of the text. You can view it online here: http://pb.libretexts.org/afm-2/?p=266

    You are the maintenance supervisor at the local dog groomer. It is budget time, and you are working on your maintenance budget for the year. In an effort to work through your numbers, you notice that the maintenance cost has a fixed component to it. The hypothesis is that for each additional dog groomed, there is additional maintenance cost incurred. Let’s look at a few months worth of activity:

    Month Number of Dogs Groomed Total Maintenance Cost
    July 560 790
    August 710 850
    September 500 740
    October 650 820
    November 730 910
    December 800 980

    Going back to our mixed cost formula:

    Y= total maintenance cost and will be plotted on the vertical axis of our graph. This cost is the dependent variable since the amount depends on the activity for the period.

    X= the activity or number of dogs groomed. This will be plotted on the horizontal axis and is the independent variable, because it is the factor that causes the variations in the cost.

    A graph showing total maintenance cost with number of dogs groomed on the x-axis and maintenance cost on the y-axis. As the number of dogs groomed increases, maintenance cost increases.

    So from this graph, you can see that the more dogs groomed, the higher the maintenance cost, and it is rising in a somewhat linear manner too. This step, creating a scattergraph is done as a first step to see if our theory is correct, before we move on and do further analysis.

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