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_b _1= 3 s_b_2 = 6 s_b_1 = 7 SST = 4800 SSE = 1296 If you want to determine whether or not the coefficient of the independent variables are significant, the critical t values at alpha = .05 is Select one: a. 2.080 b. 2.064 c. 2.086 d. 2.060

Explanation / Answer

There is 4 parameters so p = 4

n = 25

Degrees of freedom = n - p = 25 - 4 = 21

Level of signficance = 0.05

For testing coefficient of independent variables we use t test statistic.

So critical value = 2.080 ( Using t table)

So correct option is a. 2.080

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