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E5 Data analysis techniques and the learning curve

Written by Saad Rahman (ACCA)

8 ACCA New at Expertise level questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. A correlation coefficient of +0.95 shows:

    • 1 A perfect negative relationship
    • 2 A weak negative relationship
    • 3 A strong positive linear relationship
    • 4 No relationship
    Show answer

    Correct answer: A strong positive linear relationship

    Values close to +1 mean a strong positive relationship.

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  2. A regression forecast is most reliable when:

    • 1 The correlation is strong and the forecast is within the range of the data
    • 2 The forecast is far outside the data
    • 3 The relationship has changed
    • 4 There are only two points
    Show answer

    Correct answer: The correlation is strong and the forecast is within the range of the data

    Extrapolation is risky.

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  3. In an 80 percent learning curve, what happens when cumulative output doubles?

    • 1 The total time falls to 80%
    • 2 The time of the last unit falls by 80%
    • 3 Nothing
    • 4 The cumulative average time per unit falls to 80% of its previous level
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    Correct answer: The cumulative average time per unit falls to 80% of its previous level

    This is the cumulative average time model.

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  4. The first unit takes 100 hours and the learning rate is 80 percent. What is the total time for the first 4 units?

    • 1 320 hours
    • 2 64 hours
    • 3 256 hours
    • 4 400 hours
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    Correct answer: 256 hours

    Cumulative average for 4 units = 100 x 0.8 x 0.8 = 64. Total = 256.

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  5. Using an 80 percent curve with a first unit of 100 hours, the total for 3 units is 210.6 hours and for 4 units is 256 hours. How long does the fourth unit take?

    • 1 45.4 hours
    • 2 80 hours
    • 3 64 hours
    • 4 51.2 hours
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    Correct answer: 45.4 hours

    256 - 210.6 = 45.4.

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  6. What is the steady state in the learning curve?

    • 1 The point of maximum learning
    • 2 The break-even point
    • 3 The first unit
    • 4 The point at which the learning effect ends and the time per unit is constant
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    Correct answer: The point at which the learning effect ends and the time per unit is constant

    Later output uses the steady state time.

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  7. Which method separates fixed and variable costs using the highest and lowest activity levels?

    • 1 Time series
    • 2 The learning curve
    • 3 The high-low method
    • 4 Regression
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    Correct answer: The high-low method

    It uses only two points.

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  8. Which of these is a limitation of data analysis techniques for forecasting?

    • 1 They need no data
    • 2 They rely on past data that may not predict the future
    • 3 They use future data
    • 4 They can never be used
    Show answer

    Correct answer: They rely on past data that may not predict the future

    Data quality and change affect reliability.

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