For a multiple Linear Regression model E(Y)=BO +B1X1+B2X2+B3X3+B4X4, if the observed data is from n=35 observations then the number of degrees of freedom for the SSE in the ANOVA table of the regression output is: a. 30 b. 34 c. 4 d. 5
Added by Christina C.
Close
Step 1
The number of degrees of freedom for SSE is equal to the total number of observations (n) minus the number of parameters estimated in the regression equation (k+1, where k is the number of independent variables). This is because each parameter estimated in the Show more…
Show all steps
Your feedback will help us improve your experience
Adi S and 63 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Exhibit 16-2: In a regression model involving 30 observations, the following estimated regression equation was obtained: ŷ = 170 + 34x1 – 3x2 + 8x3 + 58x4 + 3x5 For this model, SSR = 1,740 and SST = 2,000. The degrees of freedom associated with SSE are _____. a. 5 b. 6 c. 19 d. 24
Sri K.
In a multiple regression model involving 45 observations, the following estimated regression equation was obtained: y = 30 + 18x1 + 43x2 + 87x3 + 90x4. For this model, SSR = 800 and SST = 1400. Give degrees of freedom for the F critical value α = .05. A) 1.9600 B) 2.6060 C) 2.7581 D) 28.387
Madhur L.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD