In a multiple regression equation kS and n 77 the MSE value

In a multiple regression equation. k-S and n 77. the MSE value is 4 63. and SS total is 511 66 At the 06 significance level, can we conduce that any of the regression coefficients are not equal to 0\' (Round your answers to 7 decimal places.)

Solution

d.f for regresion = k-1 =4..so, df for error = (21-4) = 17..

MSE = 4.63..MSE = SSE / D.F = SSE / 17.. So, SSE = ( 4.63 * 17) = 78.71..

SST = 511.36..SST = SS(REG) + SSE ..
So, SS(REG) = 432.65...
MS(REG) = 432.65 / 4 = 108.1625...
reject H0 if F > 2.964708..

critical F = 23.3612311 With df = 4 ,17
Significance F= 0.000001 which is less than 0.05.

so, reject the null hypothesis!