5. DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER PRACTICE ANO You may need to use the appropriate technology to answer this question. Consider the following data for a dependent variable y and two independent variables, x, and x2. X 1 X2 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 16 209 The estimated regression equation for these data is y = -18.06 + 2.00x1 + 4.71x2. Here, SST = 15,090.1, SSR = 13,937.2, 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 Ha: P1 = 0 and B2 # 0 OH: B 1 > B2 Ha : B1 = P2 OH: B 1 = $2 = 0 H : One or more of the parameters is not equal to zero. OH: B 1 0 and B2 # 0 H: One or more of the parameters is equal to zero. OH: B1 0 OH : B1 = 0 Ha : B 1 + 0 OH : B, # 0 Ha : P1 = 0 OH : B 1 O Ha : B, So 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 = 0.79 X State your conclusion. O Do not reject Ho. There is sufficient evidence to conclude that , is significant. Do not reject Ho. There is insufficient evidence to conclude that S, is significant. O Reject Ho. There is insufficient evidence to conclude that , is significant. O Reject Ho. There is sufficient evidence to conclude that , is significant.(c) Is , significant? Use a = 0.05. State the null and alternative hypotheses. OH: B2 > o Ha: B2 so OH : B 2 + 0 Ha : B2 = 0 OH: B2 = 0 Ha : B 2 + 0 OH: P2 o 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. Do not reject Ho. There is insufficient evidence to conclude that , 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 , is significant. O Reject Ho. There is sufficient evidence to conclude that , is significant