Question

(a) 'There is a high correlation between the gender of American workers and their income.' O Because gender has a categorical (nominal) scale, we cannot compute the correlation between sex and anything. O The relationship between gender and American workers income has a curved relationship and correlation measures the strength of only the linear relationship between two variables. O Income of American workers can not be correlated with other variables because it is too complex. Gender would not have any association with American workers income. (b) 'We found a high correlation (r = 1.01) between students' ratings of faculty teaching and ratings made by other faculty members.' O The correlation between students' ratings of faculty teaching and ratings made by other faculty members would not be this high. The relationship between students' ratings of faculty teaching and ratings made by other faculty members would have more of a curved relationship and correlation measures the strength of only the linear relationship between two variables. O A correlation r = 1.01 is impossible because -1 srs1 always. O Because students' ratings of faculty teaching has a categorical (nominal) scale, we cannot compute the correlation between these ratings and anything. (c) 'The correlation between planting rate and yield of corn was found to be r = 0.26 bushel.' O There is no correlation between planting rate and yield of corn. O The correlation between planting rate and yield of corn would be much higher. O Because planting rate has a categorical (nominal) scale, we cannot compute the correlation between planting rate and anything. O Correlation has no units, so r = 0.26 bushel is incorrect.