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Hi I need help on these questions. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your

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Hi I need help on these questions.

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Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to three decimal places.) t = 21.38 X P-value = 0 X State the conclusion in the problem context. O Reject Ho. This model is useful. O Fail to reject Ho. This model is useful. O Reject Ho. This model is not useful. O Fail to reject Ho. This model is not useful. How much of the variation in y can be explained by its relationship with In(x)? (Round your answer to one decimal place.) % Predict amplitude when cycles to failure = 4000. (Use a 95% prediction interval. Round your answers to five decimal places.) -5.02220 X -3.06858 XFailures in aircraft gas turbine engines due to high cycle fatigue is a pervasive problem. An article gave the accompanying data and fit a nonlinear regression model in order to predict strain amplitude from cycles to failure. (Use a = 0.05.) Obs Cycfail Strampl 1 1326 0.01555 2 1593 0.01410 3 4414 0.01080 4 5673 0.01140 5 29516 0.00963 6 26 0.01809 7 843 0.00850 8 1016 0.00821 9 3410 0.00530 10 7101 0.00515 11 7356 0.00536 12 7904 0.00680 13 79 0.01312 14 4175 0.00872 15 34676 0.00556 16 114789 0.00640 17 2672 0.00870 18 7532 0.00933 19 30220 0.00776 Fit an appropriate model and investigate the quality of the fit. (Use the model y = a + ln(x). Round all numerical values to four decimal places.) y = 4.6218 1.04501n(x) X

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