If a least squares regression line has a y-intercept of 6.84 and a slope of 2.16, then when x = 1 the actual value of y must be 9.

Question

Quizplus · Accepted Answer

The equation for the least squares regression line is: y = mx + b, where m is the slope and b is the y-intercept. Plugging in the given values, we get: y = 2.16x + 6.84. 
When x = 1, we get: y = 2.16(1) + 6.84 = 9. However, this is the predicted value of y based on the regression line, not necessarily the actual value. The actual value of y could be higher or lower than 9. Therefore, the correct answer is B) False.

If a Least Squares Regression Line Has a Y-Intercept of 6.84