Data collected from students in Statistics classes included their heights (in inches)and weights (in pounds).For the $$\text { students' heights }$$ and weights,the correlation is 0.653.Suppose the variable weight is recorded in kilograms rather than in pounds.What will be the correlation?
A)0.653 in./kg
B)-0.653
C)0.653 kg/in.
D)0.653
E)1.438 in./kg

Question

Data collected from students in Statistics classes included their heights (in inches)and weights (in pounds).For the $$\text { students' heights }$$ and weights,the correlation is 0.653.Suppose the variable weight is recorded in kilograms rather than in pounds.What will be the correlation? 
A)0.653 in./kg 
B)-0.653 
C)0.653 kg/in. 
D)0.653 
E)1.438 in./kg

Quizplus · Accepted Answer

The correlation coefficient, denoted by r, is a measure of the strength and direction of the linear relationship between two variables. It is a unitless measure and does not depend on the unit of measurement used for the variables. Therefore, the correlation coefficient between height in inches and weight in kilograms will be the same as the correlation coefficient between height in inches and weight in pounds, which is given as 0.653 in the question. So the answer is D) 0.653.

Data Collected from Students in Statistics Classes Included Their Heights students’ heights \text { students' heights } students’ heights

Data Collected from Students in Statistics Classes Included Their Heights $\text { students' heights }$