If the estimated intercept of the regression equation is negative, we can say the estimated correlation coefficient between the two variables is also negative. O True O False

MATLAB: An Introduction with Applications
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**Question:**

If the estimated *intercept* of the regression equation is negative, we can say the estimated *correlation coefficient* between the two variables is also negative.

- ○ True
- ○ False

**Explanation:**

This question tests your understanding of the relationship between the intercept of a regression equation and the correlation coefficient between two variables. In a regression equation of the form \( y = mx + b \), where \( b \) is the intercept, the sign of \( b \) does not determine the direction of the correlation between \( x \) and \( y \). Instead, it is the slope \( m \) that indicates the correlation's direction. A negative slope indicates a negative correlation, while a positive slope indicates a positive correlation. Therefore, this statement is false.
Transcribed Image Text:**Question:** If the estimated *intercept* of the regression equation is negative, we can say the estimated *correlation coefficient* between the two variables is also negative. - ○ True - ○ False **Explanation:** This question tests your understanding of the relationship between the intercept of a regression equation and the correlation coefficient between two variables. In a regression equation of the form \( y = mx + b \), where \( b \) is the intercept, the sign of \( b \) does not determine the direction of the correlation between \( x \) and \( y \). Instead, it is the slope \( m \) that indicates the correlation's direction. A negative slope indicates a negative correlation, while a positive slope indicates a positive correlation. Therefore, this statement is false.
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