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B Data analysis and statistical techniques

Written by Mahnoor Sheikh (ACCA)

اے سی سی اے · مینجمنٹ اکاؤنٹنگ · 11 سوالات

نام: ____________________   تاریخ: ____________

  1. Which sampling method divides the population into groups and selects from each group in proportion to its size?

    • A Quota sampling
    • B Stratified sampling
    • C Cluster sampling
    • D Systematic sampling

  2. 2,000 units cost $9,000 and 4,000 units cost $13,000. Using the high-low method, what is the estimated cost of 3,000 units?

    • A $11,000
    • B $10,000
    • C $13,000
    • D $9,000

  3. A correlation coefficient of -0.9 indicates:

    • A A strong positive relationship
    • B A strong negative linear relationship
    • C A weak positive relationship
    • D No relationship

  4. A regression gives a coefficient of determination (r squared) of 0.81. What does this mean?

    • A The forecast will be 81 percent accurate
    • B 81 percent of the variation in the dependent variable is explained by the independent variable
    • C The correlation coefficient is 0.081
    • D The independent variable explains 19 percent of the variation

  5. A regression line is y = 12 + 1.3x. What is the forecast for x = 60?

    • A 93
    • B 73
    • C 78
    • D 90

  6. Monthly sales are 12, 15, 18, 15 and 21 units. What is the second three-month moving average?

    • A 18
    • B 16
    • C 17
    • D 15

  7. The trend value for a quarter is 400 units and the additive seasonal variation is -30. What is the forecast?

    • A 400 units
    • B 12,000 units
    • C 370 units
    • D 430 units

  8. A Laspeyres price index uses weights based on:

    • A Base period quantities
    • B Current period quantities
    • C An average of both periods
    • D Prices only, with no quantities

  9. There is a 30 percent chance of $40,000, a 50 percent chance of $60,000 and a 20 percent chance of $100,000. What is the expected value?

    • A $60,000
    • B $66,667
    • C $200,000
    • D $62,000

  10. The standard deviation of a data set is 12 and the mean is 60. What is the coefficient of variation?

    • A 0.2%
    • B 20%
    • C 5%
    • D 72%

  11. Which of the five characteristics of big data describes the speed at which data is generated?

    • A Variety
    • B Veracity
    • C Volume
    • D Velocity

جوابی کلید

1. B, 2. A, 3. B, 4. B, 5. D, 6. B, 7. C, 8. A, 9. D, 10. B, 11. D

  1. Stratified sampling makes sure each group is represented.

  2. Variable cost = 4,000 / 2,000 = $2. Fixed cost = $5,000. Cost of 3,000 units = 5,000 + 6,000 = $11,000.

  3. A value close to -1 means that as one variable rises the other falls, strongly.

  4. r squared is the proportion of variation explained.

  5. y = 12 + (1.3 x 60) = 90.

  6. The averages are (12+15+18)/3 = 15, (15+18+15)/3 = 16 and (18+15+21)/3 = 18.

  7. Additive: trend plus the variation, 400 - 30 = 370.

  8. Laspeyres uses base period quantities and Paasche uses current period quantities.

  9. 0.3 x 40,000 + 0.5 x 60,000 + 0.2 x 100,000 = 62,000.

  10. Coefficient of variation = standard deviation / mean = 12 / 60.

  11. Velocity is speed, volume is size, variety is the different forms and veracity is accuracy.