Consider the following data for a dependent variable y and two independent variables, x, and xy. x x2 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 16 210 1562 = 0.9575. 9 = -18.74 +2.01x, +4.73%, Here, SST = 15,229.6, SSR = 14,077.2, 56, = 0.2495, and (a) Test for a significant relationship among xq, Xy, and y. Use a = 0.05. State the null and alternative hypotheses. OHO: B, 0 and 2 = 0 H: B = 0 and B, +0 OH: B. - 8,0 H: One or more of the parameters is not equal to zero. OH:8, > B2 H:8, SB2 OHO: By 0 H: B, So OH: B1 0 O H.:B1 = 0 H: B, 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 B, is significant. 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. Reject Ho. There is insufficient evidence to conclude that B1 is significant. (C) Is B, significant? Use a = 0.05. State the null and alternative hypotheses. OHO: B27 0 Ha: B2 = 0 : , 0 O Ho: B2 = 0 He: B20 OH: B2 > 0 H: 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 = State your conclusion. O Reject Ho. There is insufficient evidence to conclude that B2 is significant. Do not reject Ho. There is sufficient evidence to conclude that B, 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