if the correlation co-efficient is o.32 what is the sign of the slope regression line as the correlation co efficient decreases from 0.78 to 0.71 do the oints of the scatter plot move toward the regression line or away from it
The sign of the slope of the regression line is determined by the sign of the correlation coefficient. The correlation coefficient represents the strength and direction of the relationship between two variables.
If the correlation coefficient is positive (between 0 and 1), it indicates a positive correlation or relationship. In this case, as the value of the correlation coefficient decreases from 0.78 to 0.71, the points of the scatter plot will move **away** from the regression line.
If the correlation coefficient is negative (between -1 and 0), it indicates a negative correlation or relationship. In this case, as the value of the correlation coefficient decreases, the points of the scatter plot will also move **away** from the regression line.
The magnitude of the correlation coefficient represents the strength of the relationship. As the value decreases, the strength of the relationship weakens, resulting in the points of the scatter plot moving further from the regression line.