Consider the following data for a dependent variable y and two independent variables, x, and x2- X 1 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 + 2.02x1 + 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,, X2, and y. Use a = 0.05. State the null and alternative hypotheses. OH: B, = 0 and B2 = 0 He: One or more of the parameters is equal to zero. OH : B 1 > $2 H: B1 = P2 OH: B, 0 OH : B, =0 H : B , =0 OH : B 1 = 0 H : B , 20 OH : B1 0 H. : B, 20 OH : B 1 = 0 H- : B 1 =0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject Ho. There is sufficient evidence to conclude that B, is significant. O Do not reject Ho. There is sufficient evidence to conclude that B, is significant. O Reject H. There is insufficient evidence to conclude that B, is significant. O Do not reject Ho. There is insufficient evidence to conclude that , is significant.(c) Is , significant? Use a = 0.05. State the null and alternative hypotheses. OH : B2 20 OH : B, =0 OH : B , 0 H: B, = 0 OH: B 2 =0 HA: B, =0 OH: B2 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject Ho. There is insufficient evidence to conclude that , is significant. O Do not reject Ho. There is sufficient evidence to conclude that S, is significant. O Reject H . There is sufficient evidence to conclude that B, is significant. Reject H . There is insufficient evidence to conclude that , is significant