The mean height of American women is about 63.6 inches and the standard deviatio

Question

The mean height of American women is about 63.6 inches and the standard deviation is about 2 inches. The mean height of American men is about 67 inches with a standard deviation of 3.8 inches. The correlation between the heights of husbands and wives is about 0.4. Suppose we transform the data to centimeters, instead of inches (1 inch is approximately 2.3 cms) Then which of the following statements are correct

A . correlation computed from the sample will remain the same for both the original data and the transformed data

B The slope of the regression line will remain the same for both sets C The intercept of the regression line will remain the same for both sets

C The intercept of the regression line will remain the same for both sets

Explanation / Answer

If we change the unit of variables then there is no change in correlation coefficient and also there is no change in slope of a regression line. But there is a change in intercept if we change the units.

Therefore, correct statements are,

A) correlation computed from the sample will remain the same for both the original data and the transformed data

B)The slope of the regression line will remain the same for both sets

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.