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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
The null hypothesis (H₀) is that there is no positive correlation between the masses of the cars and the CO2 emissions, represented as: ( \rho = 0 ).
The alternative hypothesis (H₁) is that there is a positive correlation, represented as: ( \rho > 0 ).
Step 2
Step 3
Give two reasons why Wesley's claim may be incorrect.
Answer
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Wesley suggests that greater mass causes higher CO2 emissions, but this correlation could be confounded by other factors, such as the type of fuel used, engine efficiency, or vehicle design.
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The sample size for calculation C is only 24, which is quite small, making it difficult to draw significant conclusions about the correlation due to possible variability in that small dataset.