Consider the following data for a dependent variable y and two independent variables, x, and x2. X 1 X 2 y 30 12 96 47 10 108 25 17 | 112 51 16 178 40 5 94 51 19 175 74 170 36 12 117 59 13 142 76 16 211 The estimated regression equation for these data is " = -17.33 + 2.00x1 + 4.73X2 Here, SST = 15,002.1, SSR = 13,887.5, s;, = 0.2454, and s;, = 0.9417. (a) Test for a significant relationship among x1, X2, and y. Use a = 0.05. State the null and alternative hypotheses. OH: B 1 > B Ha : B1 5 P2 OHO: B1 = B2 = 0 Ha: One or more of the parameters is not equal to zero. OHO: 81 * 0 and B2 # 0 Ha: One or more of the parameters is equal to zero. O HO: B1 0 OHO: $1 20 Ha : B, SO OHO: B, = 0 Ha : B 1 * 0 OH: B 1 0 Ha: B1 = 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 S, is significant. O 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. Do not reject Ho. There is insufficient evidence to conclude that , is significant. (c) Is 82 significant? Use a = 0.05. State the null and alternative hypotheses. O Ho: P2 > 0 Ha: B2 50 OHO: B 2 0 Ha: B2 = 0 O Ho: P2 = 0 Ha: B2 + 0 OH: B 2 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 $2 is significant. O Reject Ho. There is insufficient evidence to conclude that #2 is significant. O Do not reject Ho. There is sufficient evidence to conclude that $2 is significant. O Reject Ho. There is sufficient evidence to conclude that 82 is significant