Exhibit 12-4
The following information regarding a dependent variable (Y) and an independent variable (X) is provided.
SSE = 6
SST = 16
-Refer to Exhibit 12-4. The least squares estimate of the Y intercept is
A)1
B)2
C)3

Question

Exhibit 12-4
The following information regarding a dependent variable (Y) and an independent variable (X) is provided.
  SSE = 6
SST = 16
-Refer to Exhibit 12-4. The least squares estimate of the Y intercept is
A)1 
B)2 
C)3

Quizplus · Accepted Answer

The least squares estimate of the Y intercept can be calculated by first finding the slope of the regression line, which is given by b = SSE / (n-2) / SST / (n-1) = 6 / (n-2) / 16 / (n-1). Then, the Y intercept can be calculated using the equation of the regression line, which is Y = a + bX, where X is the mean of the independent variable. Since X is not given in this information, we can assume that X is equal to 0, which gives Y = a. Therefore, the Y intercept (a) can be calculated as a = Y - bX = Y - b*0 = Y. Since Y is not given in this information, we cannot find the exact value of the Y intercept. However, we can determine that the Y intercept must be between 1 and 4, since the possible values of Y are 1, 2, 3, or 4 (assuming that Y is an integer). Out of these choices, the best answer is B (2), since it is the closest to the middle of the possible range of values.

Exhibit 12-4 the Following Information Regarding a Dependent Variable (Y) and an and an Independent