Question

Correlation blunders Each of the following statements contains an error. Explain what’s wrong in each case. a) "There is a high correlation between the gender of American workers and their income." b) "We found a high correlation (r = 1.09) between students’ ratings of faculty teaching and ratings made by other faculty members." c) "The correlation between planting rate and yield of corn was found to be r = 0.23 bushel."

Answer 1

Answer:

(a) One cannot compute the value of correlation between the nominal variable and the continuous variable. In our case, gender is a nominal variable and there will be no correlation between the gender of American workers and their income.

(b) Correlation between the variables ranges from '+1' to '-1'. The correction of r = 1.09 between the these variables is wrongly computed.

(c) Correlation cannot be represented in terms of bushel, it is strongly represents the relationship between the two variables. Therefore, bushel cannot be assign to the correlation.