If an estimated regression line has a y-intercept of 10 and a slope of -5, then when x = 0, the estimated value of y is:
A)−5
B)0
C)5
D)10

Question

Quizplus · Accepted Answer

When x = 0, we are looking for the estimated value of y on the regression line.

Using the equation of a line (y = mx + b) where b is the y-intercept and m is the slope, we can plug in the given values:

y = -5x + 10

When x = 0:

y = -5(0) + 10 = 10

Therefore, the estimated value of y when x = 0 is 10.

If an Estimated Regression Line Has a Y-Intercept of 10