Suppose a multiple regression analysis involving 25 data points has $s _ { z } ^ { 2 } = 1.8$ and SSE = 36.Then,the number of the independent variables must be:
A) 3
B) 4
C) 5
D) 6

Question

Quizplus · Accepted Answer

The formula for calculating SSE is: 
SSE = (n - k - 1) * s^2

where 
n = number of data points 
k = number of independent variables 
s^2 = variance of residuals

From the question, 
SSE = 36 
s^2=1.8 
n=25

Plugging in the values, we get:

36 = (25 - k - 1) * 1.8 
20 = 23 - k 
k = 3

Therefore, the number of independent variables is 3.

Option A is incorrect as it indicates the number of independent variables is more than 3. 
Option C and D are incorrect as they indicate an unusually large number of independent variables for a dataset with only 25 data points.

Suppose a Multiple Regression Analysis Involving 25 Data Points Has sz2=1.8s _ { z } ^ { 2 } = 1.8sz2​=1.8

Suppose a Multiple Regression Analysis Involving 25 Data Points Has $s _ { z } ^ { 2 } = 1.8$