Use the following information for following questions .
The scatterplot shows the relationship between the foot lengths and foot widths of children. The
coefﬁcient of determination was found to be 41.09%.
-If we converted the x-axis to inches, instead of centimeters, what would happen to the value of the correlation coefﬁcient?
A)The correlation coefﬁcient would increase because we there are 2.54 centimeters in 1 inch.
B)The correlation coefﬁcient would decrease because we there are 2.54 centimeters in 1 inch.
C)The correlation coefﬁcient would be unchanged because it is not affected by changes in units.
D)We cannot make any conclusions about the correlation coefﬁcient because we would need to use the new data values (with inches) to calculate it.

Question

Use the following information for following questions .
The scatterplot shows the relationship between the foot lengths and foot widths of children. The
coefﬁcient of determination was found to be 41.09%. 
-If we converted the x-axis to inches, instead of centimeters, what would happen to the value of the correlation coefﬁcient?
A)The correlation coefﬁcient would increase because we there are 2.54 centimeters in 1 inch. 
B)The correlation coefﬁcient would decrease because we there are 2.54 centimeters in 1 inch. 
C)The correlation coefﬁcient would be unchanged because it is not affected by changes in units. 
D)We cannot make any conclusions about the correlation coefﬁcient because we would need to use the new data values (with inches) to calculate it.

Quizplus · Accepted Answer

The correlation coefficient measures the strength and direction of a linear relationship between two variables, and it is not affected by changes in the scale or units of measurement. Converting from centimeters to inches changes the scale but does not affect the linear relationship between the variables.

Use the Following Information for Following Questions