Statistical modeling theory

A question is this type if and only if it asks to explain what statistical models are, why they are used, describe the modeling process, or identify stages in model creation.

8 questions · Easy -1.6

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Edexcel S1 2006 January Q5
4 marks Easy -1.8
5.
  1. Write down two reasons for using statistical models.
  2. Give an example of a random variable that could be modelled by
    1. a normal distribution,
    2. a discrete uniform distribution.
Edexcel S1 2007 January Q6
5 marks Easy -2.0
  1. Give two reasons to justify the use of statistical models. It has been suggested that there are 7 stages involved in creating a statistical model. They are summarised below, with stages 3 , 4 and 7 missing. Stage 1. The recognition of a real-world problem. Stage 2. A statistical model is devised. Stage 3. Stage 4. Stage 5. Comparisons are made against the devised model. Stage 6. Statistical concepts are used to test how well the model describes the real-world problem. Stage 7.
  2. Write down the missing stages.
Edexcel S1 2002 June Q2
4 marks Easy -1.2
2. Statistical models can be used to describe real world problems. Explain the process involved in the formulation of a statistical model.
(4)
Edexcel S1 2002 November Q1
4 marks Easy -1.8
  1. Explain briefly why statistical models are used when attempting to solve real-world problems. [2]
  2. Write down the name of the distribution you would recommend as a suitable model for each of the following situations.
    1. The weight of marmalade in a jar.
    2. The number on the uppermost face of a fair die after it has been rolled.
    [2]
Edexcel S1 Specimen Q1
4 marks Easy -1.8
  1. Explain what you understand by a statistical model. [2]
  2. Write down a random variable which could be modelled by
    1. a discrete uniform distribution,
    2. a normal distribution.
    [2]
Edexcel S1 Q1
4 marks Easy -1.8
Briefly describe what is meant by
  1. a statistical model, [2 marks]
  2. a refinement of a model. [2 marks]
Edexcel S2 Q1
4 marks Easy -1.8
  1. Briefly explain the difference between a one-tailed test and a two-tailed test. [2 marks]
  2. State, with a reason, which type of test would be more appropriate to test the claim that this decade's average temperature is greater than the last decade's. [2 marks]
Edexcel S2 Q2
4 marks Moderate -0.8
  1. Explain what is meant by the critical region of a statistical test. [2 marks]
  2. Under a hypothesis \(H_0\), an event \(A\) can happen with probability \(4 \cdot 2\%\). The event \(A\) does then happen. State, with justification, whether \(H_0\) should be accepted or rejected at the \(5\%\) significance level. [2 marks]