1.The correct answers are : B and C.
There is a strong relationship between the level of car ownership and the number of road deaths and 53% of the variation in the level of road deaths from one country to the next can be explained by the corresponding variation in the level of car ownership
High levels of correlation do not prove that there is cause and effect.
A correlation coefficient of 0.73 would generally be regarded as indicating a strong linear relationship between the variables.
The coefficient of determination provides this information and is given by squaring the correlation coefficient, resulting in 53% in this case.
The coefficient of determination provides this information and not the correlation coefficient.
Remember that you must square the correlation coefficient in order to obtain the coefficient of determination.
2.The correct answers are : A and D.
The estimate is not reliable because X is outside the range of the data and The estimate is not reliable because the sample is small.When X = 20, we don't know anything about the relationship between X and Y since the sample data only goes up to X = 10. 'The estimate is not reliable because X is outside the range of the data 1 is therefore true.
Since a correlation coefficient of 0.8 would be regarded as strong (it is a high value) the estimate would be reliable. 'The estimate is not reliable because the correlation is low' is therefore not true. With such a small sample and the extrapolation required, the estimate is unlikely to be reliable.
The estimate is reliable' is therefore not true.
The sample of only six pairs of values is very small and is therefore likely to reduce the reliability of the estimate. The estimate is not reliable because the sample is small' is therefore true.
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