If the linear correlation coefficient between the explanatory variable (x) and response variable (y) is r = 0.35, the slope of the regression line is 

negative

positive

not enough information to answer




The slope of the regression line has the same sign as the correlation coefficient \( r \). Since \( r = 0.35 \) is a positive number, the slope of the regression line is **positive**.

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Here are some related questions:
1. What is the formula for calculating the slope of a regression line?
2. How do we interpret the value of the correlation coefficient?
3. Can a correlation coefficient of 0 imply a non-linear relationship?
4. What is the significance of a positive or negative correlation?
5. How is the coefficient of determination \( r^2 \) related to \( r \)?

**Tip:** The closer the correlation coefficient \( r \) is to 1 or -1, the stronger the linear relationship between \( x \) and \( y \).

If the linear correlation coefficient between the explanatory variable (x) and response variable (y) is r = 0.35, the slope of the regression line is negative, positive, or not enough information to answer.

Explore how the slope of a regression line relates to the correlation coefficient. With r = 0.35, we determine that the slope is positive, covering key concepts like linear regression and the correlation formula. Ideal for students in Grades 10-12.

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