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

Question

In a regression analysis of a first-order model involving 3predicto 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_b_1 = 3 s_b_2 = 6 s_b_3 = 7 SST = 4800 SSE = 1296 At the .05 level of significance, the coefficient of x_3 Select one: a. is not found to be significant. b. is significant. c. cannot be tested, because not enough information is provided. d. should be estimated again. because it is incorrect in the above equation.

Explanation / Answer

for coefficient of X3

test stat t=b3/std error =14/7 =2

for above test stat p value at (25-3=22) degree of freedom =0.058

as p value is higher then critical value of 0.05 ;

is not found to be significant. option a

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