In a regression analysis of a first-order model involving 3 predictor variables

Question

In a regression analysis of a first-order model involving 3 predictor variables and 25 observations, the following estimated regression equation was developed. y = 10 - 18x_1 + 3x_2 + 14x_3 Also, the following standard errors and the sum of squares were obtained. s_b1 = 3 s_b2 = 6 s_b_3 = 7 SST = 4800 SSE = 1296 If we are interested in testing for the significance of the relationship among the variables (i.e, significance of the model), the critical value of F at alpha = .05 is Select one: a. 2.76 b. 2.78. c. 3.07. d. 3.10.

Explanation / Answer

from above given data

critical value of F =3.07

df SS MS F critical F Regression 3 3504 1168 18.926 3.07 Residual 21 1296 61.71429 Total 24 4800

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