Question

In: Statistics and Probability

Which of the following represent a number between 0 and 1, inclusive? Select one: a. Coefficient...

Which of the following represent a number between 0 and 1, inclusive?

Select one:

a. Coefficient of Kurtosis

b. Coefficient of Skewness

c. Coefficient of Determination

d. Coefficient of Correlation

e. None of these

Expert Solution

Answer : Option C. Coefficient of Determination.

EXPLANATION :

Coefficient of Kurtosis :

For a normal population, the coefficient of kurtosis is expected to equal 3. A value greater than 3 indicates a leptokurtic distribution; a values less than 3 indicates a platykurtic distribution.

Coefficient of skewness :

If skewness is positive, the data are positively skewed or skewed right, that means the right tail of the distribution is longer than the left. If skewness is negative, the data are negatively skewed or skewed left, that means the left tail is longer. If skewness = 0, the data are perfectly symmetrical.

This, it take positive as well as negative values.

Coefficient of Determination :

The coefficient of determination is the square of the correlation (r) between x and y variable; thus, it ranges from 0 to 1.

An R² = 0 means that the dependent variable cannot be predicted from the independent variable.An R²= 1 means the dependent variable can be predicted without error from the independent variable.

Coefficient of correlation :

A correlation coefficient is a numerical measure of some type of correlation, meaning a statistical relationship between two variables.

It's value ranges from -1 to 1. Negative value indicates negative correlation and positive value indicates positive correlation between 2 variables.

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