Question: You mayIr need to use the appropriate technology to answer this question. Consider the following data for a dependent variable y and two independent variables,




You mayIr need to use the appropriate technology to answer this question. Consider the following data for a dependent variable y and two independent variables, x 30 12 95 108 112 178 94 17'5 170 11FIr 142 209 The estimated regression equation for these data is P = 16.50 + 1.98X1 + 4.69x2. Here, SST = 14,8121}, SSR = 13,6915, 5b = 0.2460, and sb = 0.9441. 1 2 1 and x2. (a) Test for a significant relationship among X1, X2, and y. Use a = 0.05. State the null and alternative hypotheses. OH : B 1 > B2 H: B EP2 OH: B, = 0 and B2 # 0 H. : One or more of the parameters is equal to zero. O Ho: B1 = $2 OH : B, = $2 =0 H : One or more of the parameters is not equal to zero. O Ho: B1 # 0 and B2 = 0 Ha: B1 = 0 and 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 Reject H. There is insufficient evidence to conclude that there is a significant relationship among the variables. O Reject Ho. There is sufficient evidence to conclude that there is a significant relationship among the variables. O Do not reject H . There is sufficient evidence to conclude that there is a significant relationship among the variables. O Do not reject Ho. There is insufficient evidence to conclude that there is a significant relationship among the variables.(b) Is , significant? Use a = 0.05. State the null and alternative hypotheses. OH: B, $0 H : B, = 0 OH: B, >0 OH: B, =0 H,: B, >0 OH : B, = 0 Ha : B 1 0 O Ho: B 1 0 H, : B, CO OH : B, = 0 H : B , >0 OH: B,
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