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    PracticeACCAACCA MA — Management Accounting Practice Exam 3Question 04
    Medium2 marksMultiple Choice
    Statistical TechniquesSyllabus BCorrelation

    ACCA · Question 04 · Statistical Techniques

    Section A

    AgriYield Corp is analyzing the relationship between the amount of specialized fertilizer applied (x) and the resulting crop yield (y). The correlation coefficient (r) is calculated as +0.85. Which of the following statements is the most accurate interpretation of this result?

    Answer options:

    A.

    85% of the variation in crop yield is explained by the amount of fertilizer applied.

    B.

    There is a strong positive linear relationship between fertilizer applied and crop yield.

    C.

    Applying more fertilizer guarantees an 85% increase in crop yield.

    D.

    There is a weak positive linear relationship, as the value is less than 1.0.

    How to approach this question

    Recall that the correlation coefficient (r) ranges from -1 to +1. A value of +0.85 is close to +1, indicating a strong positive linear relationship.

    Full Answer

    B.There is a strong positive linear relationship between fertilizer applied and crop yield.✓ Correct
    The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables. +0.85 is a strong positive correlation. Option A incorrectly describes r-squared (0.85^2 = 0.7225).

    Common mistakes

    Confusing 'r' with 'r-squared' (Option A is the most common distractor).
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