Unit 4 Challenge 2-Interpreting challenge

 

Which of the following data sets would most likely have a positive association and a correlation coefficient between 0 and 1?

 

A researcher found a study relating the distance a driver can see, y, to the age of the driver, x. When researchers looked at the association of x and y, they found that the coefficient of determination was  .

Select two conclusions that the researcher can make from this data.

 

A scatterplot was created using the miles-per-gallon and weight of 20 cars. Another car is added to the scatterplot (shown in red in the lower part of the graph).

 

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The correlation coefficient, r, is 0.813.

Which of the following statements explains how the correlation is affected?

 

Which of the following statements is FALSE?

• )

A correlation between -1 and 1 establishes a relationship, but not necessarily a causation.

• )

A high correlation between the explanatory and response variables is sufficient to prove causation.

• )

A controlled experiment can give the best evidence for causation.

• )

A correlation coefficient of 1 could mean that the relationship is just a coincidence.

 

 

Which of the following statements is FALSE?

• )

A correlation between -1 and 1 establishes a relationship, but not necessarily a causation.

• )

A high correlation between the explanatory and response variables is sufficient to prove causation.

• )

A controlled experiment can give the best evidence for causation.

• )

A correlation coefficient of 1 could mean that the relationship is just a coincidence.

 

 

Stephanie knows that a correlation between the number of bars and the number of churches in her city does not, in itself, mean that more bars will lead to a higher number of churches.

Which of the following would NOT be a lurking variable in the above scenario?

 

Smoking causes lung cancer.

Which of the following is necessary to establish causality for the above claim?