Please check my test statistics for b and c

MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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. 30 12 94 47 10 108 25 17 112 51 16 178 5 94 51 19 175 74 7 170 36 12 117 50 13 142 76 16 211 The estimated regression equation for these data is y = -18.37 + 2.01x1 +4.74x2- Here, SST = 15,182.9, SSR = 14,052.2, sb, = 0.2471, and Sb, = 0.9484. (a) Test for a significant relationship among x1, X2, and y. Use a = 0.05. State the null and alternative hypotheses. O Ho: B1 $ 0 and B2 = 0 Ha: B1 = 0 and B2 # 0 O HO : B 1 > BZ Ha: By B2 Ho: B1 = B2 = 0 Ha: One or more of the parameters is not equal to zero. O Ho: B1 0 and B2 4 0 Ha: One or more of the parameters is equal to zero. O Ho: B1 0 Ha : B 1 so O Ho : B1 = 0 Ha : B1 > o Find the value of the test statistic. (Round your answer to two decimal places.) 7.53 Find the p-value. (Round your answer to three decimal places.) p-value = 6.00 x State your conclusion. Reject Ho. There is insufficient evidence to conclude that , is significant. Do not reject Ho. There is insufficient evidence to conclude that B, is significant. Reject Ho. There is sufficient evidence to conclude that B, is significant. Do not reject Ho. There is sufficient evidence to conclude that B, is significant. (c) Is B2 Significant? Use a = 0.05. State the null and alternative hypotheses. Ho : B 2= 0 Test statistic = 4.04 Reject the HON There is Ha : B2 0 P value = 0.0 ) sufficient evidence to conclude that BZ is signO Ho: B2 = 0 Ha : B2 > 0 O HO : B 2 > Ha : B2 so O Ho : B2 # 0 Ha : B2 = 0 O HO : B2