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    PracticeCPA®CPA BAR Practice ExamQuestion 08
    Medium1 markMultiple Choice
    Area 1: Business AnalysisBusiness AnalysisForecastingRegression

    CPA · Question 08 · Area 1: Business Analysis

    A company uses regression analysis to forecast sales based on advertising spend. The resulting equation is: Sales = $500,000 + (4.5 * Advertising Spend). The R-squared value is 0.85. <br/><br/>Management is considering increasing advertising spend by $100,000. Based on this model, what is the expected increase in Sales, and how reliable is this prediction?

    Answer options:

    A.

    Increase of $950,000; Low reliability.

    B.

    Increase of $450,000; Low reliability.

    C.

    Increase of $450,000; High reliability.

    D.

    Increase of $500,000; High reliability.

    How to approach this question

    1. Identify the slope (coefficient of X), which is 4.5. This means for every $1 ad spend, sales rise $4.5.<br/>2. Multiply slope by the change in X ($100,000).<br/>3. Interpret R-squared: 0 to 1 scale. 0.85 is strong.

    Full Answer

    C.Increase of $450,000; High reliability.✓ Correct
    The coefficient 4.5 represents the variable relationship. Increase = 4.5 * $100,000 = $450,000. R-squared measures goodness of fit; 0.85 is generally considered a strong correlation in business contexts.

    Common mistakes

    Adding the intercept to the change; misinterpreting R-squared.
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