Each of the following statements contains a blunder. Explain in each case what i
ID: 3353520 • Letter: E
Question
Each of the following statements contains a blunder. Explain in each case what is wrong...
(a) There is a high correlation between the age of American workers and their occupation.
The relationship between age and American workers' occupation has a curved relationship and correlation measures the strength of only the linear relationship between two variables
.Because occupation has a categorical (nominal) scale, we cannot compute the correlation between occupation and anything. Age would not have any association with American workers' occupation.
Occupation of American workers can not be correlated with other variables because it is too complex.
(b) We found a high correlation
(r = 1.17) between students' ratings of faculty teaching and ratings made by other faculty members.
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.
Because students' ratings of faculty teaching has a categorical (nominal) scale, we cannot compute the correlation between these ratings and anything.
The correlation between students' ratings of faculty teaching and ratings made by other faculty members would not be this high.
A correlation r = 1.17 is impossible because 1 r 1 always.
(c) The correlation between the sex of a group of students and the color of their cell phone was r = 0.29.
The relationship between sex and cell phone color has a curved relationship and correlation measures the strength of only the linear relationship between two variables.
There is no correlation between sex and cell phone color.
Because neither variable (sex and cell phone color) is quantitative, we cannot compute the correlation between them.
The correlation between sex and cell phone color would be much higher.
Explanation / Answer
a)gender is a categorical variable.
b)r has a maximum value of 1.
c)correlation has no units.
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