In a multiple regression analysis, there are 20 data points and 4 independent variables, and the sum of the squared differences between observed and predicted values of y is 180. The multiple standard error of estimate will be:
A)6.708.
B)3.464.
C)9.000.
D)3.000.

Question

Quizplus · Accepted Answer

The formula for calculating the multiple standard error of estimate (MSE) is:

MSE = sqrt(SSres/(n-k-1))

Where SSres is the sum of squared residuals (in this case, it is given as 180), n is the number of data points (20), and k is the number of independent variables (4).

Plugging in these values, we get:

MSE = sqrt(180/(20-4-1))
MSE = sqrt(180/15)
MSE = sqrt(12)

Therefore, the multiple standard error of estimate is approximately 3.464. Option B is the correct answer.

In a Multiple Regression Analysis, There Are 20 Data Points