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Business Objectives and Strategy

Correlation, extrapolation and index numbers

  • 1 thing to know
  • Components 01, 02 and 03

Overview

Recall questions on positive and negative correlation, the correlation coefficient from −1 to +1, why correlation does not prove causation, lines of best fit, predicting and extrapolating sales and the dangers of extrapolation, and interpreting index numbers against a base year.

What you need to know

Answer each one before you reveal it.

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Key term

What is correlation?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    What is correlation?

    Model answer

    Correlation is the extent to which two variables move together.

  2. 2

    Distinguish between positive and negative correlation.

    Model answer

    In positive correlation the two variables move in the same direction, while in negative correlation one rises as the other falls.

  3. 3

    What range of values can a correlation coefficient take?

    Model answer

    From −1 to +1, where −1 is perfect negative correlation, 0 is no correlation and +1 is perfect positive correlation.

  4. 4

    A correlation coefficient of 0.85 is found between advertising spend and sales. How should this be interpreted?

    Model answer

    There is a strong positive relationship, so higher advertising spend is generally associated with higher sales.

  5. 5

    Why does correlation not prove causation?

    Model answer

    Two variables can move together because a third factor drives both of them, or by coincidence, so a relationship in the data is not evidence that one causes the other.

  6. 6

    What is a line of best fit?

    Model answer

    A line of best fit is a straight line drawn through the points on a scatter graph to represent the general relationship between the two variables.

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Revenue the cost of sales.
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