In a simple linear regression, the relationship between the correlation coeffici
ID: 3202557 • Letter: I
Question
In a simple linear regression, the relationship between the correlation coefficient and the slope coefficient is best described by:
1. Their signs are the same. If the correlation coefficient is positive, the slope coefficient is positive as well. If the correlation coefficient is negative, the slope coefficient is negative as well. But their values may be different.
2. Their signs are such that if the correlation coefficient is positive, the slope coefficient is negative and if the correlation coefficient is negative, the slope coefficient is positive. But their values may be different.
3. Their value and their signs are the same.
4. They have no specific relationships and are completely independent.
Please explain the concepts along with the answer.
Thanks
Explanation / Answer
In a simple linear regression, the relationship between the correlation coefficient and the slope coefficient is best described by: Their signs are the same. If the correlation coefficient is positive, the slope coefficient is positive as well. If the correlation coefficient is negative, the slope coefficient is negative as well. But their values may be different.