Question

Consider the following data for a dependent variable y and two independent variables, 21 and 22; for these data SST = 15,196.1, and SSR = 14,180.8. Round your answers to three decimal places. a. Compute R2 b. Compute R2 c. Does the estimated regression equation explain a large amount of the variability in the data? - Select your answer -

Answer 1

Solution:

Given:

SST = 15196.1

SSR = 14180.8

n = Number of observations = 10

k = Number of independent variables = 2

Part a) Compute R²

p2 SSR SST

R? - 14180.8 15196.1

RP = 0.9331868

RP = 0.933

Part b) Compute R²_a Adjusted R square:

R2_1_(1 – Rº) x (n-1) n-k - 1

R21 _ (1 -0.933) Ⓡ (10 - 1) 10 – 2-1

0.067 x 9 R2 =1-

R =1 – 0.086

R = 0.914

Part c)

Yes , since coefficient of determination and Adjusted R square: are very large.