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Need help with Stats problems please! Questions are separated by #'s ... Thank you !! 17 You may need to use the appropriate technology to

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Need help with Stats problems please! Questions are separated by #'s ... Thank you !!

17

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You may need to use the appropriate technology to answer this question. Consider the data. X ; 2 9 13 20 yi 5 18 8 27 21 (a) What is the value of the standard error of the estimate? (Round your answer to three decimal places.) (b) Test for a significant relationship by using the t test. Use a = 0.05. State the null and alternative hypotheses. OH: B, 20 H: B, B2 H : B E B 2 O Ho: B1 = P2 O Ho: B1 # 0 and B2 = 0 Ha: B, = 0 and B, # 0 O Ho: B1 = B2 = 0 H. : One or more of the parameters is not equal to zero. Find the value of the test statistic. (Round your answer to two decimal places.) F =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 the overall model is significant. O Do not reject H . There is sufficient evidence to conclude that the overall model is significant. O Reject Ho. There is insufficient evidence to conclude that the overall model is significant. O Do not reject H . There is insufficient evidence to conclude that the overall model is significant. (c) Perform a t test for the significance of B, . Use a = 0.05. State the null and alternative hypotheses. O H : B , = 0 H. : B , + 0 O Ho: B1 = 0 Ha : B , >0 O H: B, 0 H. : B, 50 O Ho: B1 = 0 HA: B, = 0Find the value of the test statistic. (Round your answer to two decimal places.) t = Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Reject H . There is sufficient evidence to conclude that B, is significant. O Reject Ho. There is insufficient evidence to conclude that B, is significant. O Do not reject H . There is insufficient evidence to conclude that B, is significant. O Do not reject Ho. There is sufficient evidence to conclude that B, is significant. (d) Perform a t test for the significance of B, . Use a = 0.05. State the null and alternative hypotheses. OHo: B2 + 0 Ha: B 2 = 0 O Ho: B2 = 0 H. : B , +0 O Ho: B2 = 0 Ha: B , >0 O Ho: B2 0 O Ho: B, = 0 H : B +0Find 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 sufficient evidence to conclude that B, is significant. O Reject Ho. There is insufficient evidence to conclude that B, is significant. O Do not reject H . There is sufficient evidence to conclude that B, is significant. O Do not reject Ho. There is insufficient evidence to conclude that B, is significant. Should x, be dropped from the model? O Yes O No(c) Use a = 0.05 to test the significance of B 2- State the null and alternative hypotheses. O Ho: B2 = 0 Ha: B , >0 HO : B 2

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