Shona calculated four correlation coefficients using data from the Large Data Set - AQA - A-Level Maths Mechanics - 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 Mechanics - Question 10 - 2019 - Paper 3
Step 1
State appropriate hypotheses for Shona to use in her test.
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Answer
The null hypothesis (
H_0): ρ = 0 (there is no correlation between mass and CO2 emissions).
The alternative hypothesis (
H_1): ρ > 0 (there is a positive correlation between mass and CO2 emissions).
Step 2
Apart from CO2 and CO emissions, state one other type of emission that Shona could investigate using the Large Data Set.
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Shona could investigate emissions related to particulates or hydrocarbons.
Step 3
Give two reasons why Wesley's claim may be incorrect.
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Wesley suggests that greater mass causes higher CO2 emissions, but we only have data from a limited sample size of 24 for correlation C, which may not be representative.
The correlation observed may be influenced by other factors, such as vehicle technology or driving habits, which are not accounted for in the data.
