In a regression equation, if the average value of X is 4.6, the average value of Y is 2.3, and the slope is -1.2, then the y-intercept is approximately:
A) 5.70.
B) 0.42.
C) 7.82.
D) 3.22.

Question

Quizplus · Accepted Answer

We know that the regression equation is Y = a + bX, where a is the y-intercept and b is the slope.

We can use the given information to solve for a:

2.3 = a + (-1.2)(4.6)

2.3 = a - 5.52

a = 7.82

Therefore, the y-intercept is approximately 7.82, which corresponds to choice C.

In a Regression Equation, If the Average Value of X