Consider the following data for a dependent variable y and two independent variables, x, and x2. X 1 y 30 12 92 47 10 108 25 17 112 51 16 178 40 5 94 51 19 175 74 7 170 36 12 117 59 13 142 76 16 211 The estimated regression equation for these data is = -19.41 + 2.02x, + 4.75X2. Here, SST = 15,370.9, SSR = 14,218.0, s, = 0.2495, and s, = 0.9577.(a) Test for a significant relationship among x, x,, and y. Use a = 0.05. State the null and alternative hypotheses. O Ho: B1 = 0 and B2 = 0 He : One or more of the parameters is equal to zero. OH : B1 > B2 OH: B, 0 OH : B, = 0 H : B, >0 OH: B2 0 H,: B, = 0 OH : B, = 0 H: B , = 0 OH: B2