In a multiple regression analysis involving 30 data points, the standard error of estimate squared is calculated as s$\varepsilon$2 = 1.5 and the sum of squares for error as SSE = 36. The number of the independent variables must be:
A)6
B)5
C)4
D)3.

Question

Quizplus · Accepted Answer

For a multiple regression with k independent variables and n data points, the standard error of estimate is defined as:

s = sqrt(SSE / (n - k - 1))

Given that s^2 = 1.5 and SSE = 36, we can solve for k as:

1.5 = 36 / (n - k - 1)
n - k - 1 = 24

Since we know that n = 30, we can simplify the equation to:

k = 30 - 24 - 1
k = 5

Therefore, the number of independent variables in this multiple regression analysis is 5, and the best choice is B.

In a Multiple Regression Analysis Involving 30 Data Points, the Standard