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Shona calculated four correlation coefficients using data from the Large Data Set - AQA - A-Level Maths Pure - Question 10 - 2019 - Paper 3
Question 10
Shona calculated four correlation coefficients using data from the Large Data Set. In each case she calculated the correlation coefficient between the masses of the... show full transcript
Worked Solution & Example Answer:Shona calculated four correlation coefficients using data from the Large Data Set - AQA - A-Level Maths Pure - Question 10 - 2019 - Paper 3
Step 1
State appropriate hypotheses for Shona to use in her test.
Answer
For Shona's hypothesis test, we can state the following:
- Null Hypothesis (H₀): (There is no positive correlation between mass and CO2 emissions)
- Alternative Hypothesis (H₁): (There is a positive correlation between mass and CO2 emissions)
Step 2
Step 3
Give two reasons why Wesley's claim may be incorrect.
Answer
Wesley's claim may be incorrect for the following reasons:
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Insufficient Data: Calculation C was based on a very small sample size of 24, which may not provide enough evidence to reliably conclude that heavier cars cause higher CO2 emissions. The lack of a larger sample may lead to misleading results.
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Confounding Factors: Wesley assumes causation based solely on correlation without considering other factors that might affect CO2 emissions. For instance, the type of fuel used, vehicle design, and driving conditions could also significantly influence CO2 emissions.