A study reports data on the effects of the drug tamoxifen on change in the level...
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A study reports data on the effects of the drug tamoxifen on change in the level of cortisol-binding globulin (CBG) of patients during treatment. With age = x and ACBG = y, summary values are n = 26, Ex₁ = 1618, Σ(x₁ - x)² = 3756.96, ΣΥ; ¡= 281.9, Σ(y, – y)² = 465.34, and Ex,y; = 16,747. (a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.) (b) Test Ho: P = -0.5 versus H₂: p < -0.5 at level 0.05. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P- value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject Hō. There is no evidence that p < -0.5. Reject H. There is no evidence that p < -0.5. Fail to reject Ho. There is evidence that p < -0.5. O Reject Ho. There is evidence that p < -0.5. (c) In a regression analysis of y on x, what proportion of variation in change of cortisol-binding globulin level could be explained by variation in patient age within the sample? (Round your answer to three decimal places.) (d) If you decide to perform a regression analysis with age as the dependent variable, what proportion of variation in age is explainable by variation in ACBG? (Round your answer to three decimal places.) A study reports data on the effects of the drug tamoxifen on change in the level of cortisol-binding globulin (CBG) of patients during treatment. With age = x and ACBG = y, summary values are n = 26, Ex₁ = 1618, Σ(x₁ - x)² = 3756.96, ΣΥ; ¡= 281.9, Σ(y, – y)² = 465.34, and Ex,y; = 16,747. (a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.) (b) Test Ho: P = -0.5 versus H₂: p < -0.5 at level 0.05. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P- value to four decimal places.) z = P-value = State the conclusion in the problem context. Fail to reject Hō. There is no evidence that p < -0.5. Reject H. There is no evidence that p < -0.5. Fail to reject Ho. There is evidence that p < -0.5. O Reject Ho. There is evidence that p < -0.5. (c) In a regression analysis of y on x, what proportion of variation in change of cortisol-binding globulin level could be explained by variation in patient age within the sample? (Round your answer to three decimal places.) (d) If you decide to perform a regression analysis with age as the dependent variable, what proportion of variation in age is explainable by variation in ACBG? (Round your answer to three decimal places.)
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Answer rating: 100% (QA)
To solve each part of this question well use the given summary statistics for x age and y ACBG level along with the formulas for the sample correlation coefficient hypothesis testing and the coefficie... View the full answer
Related Book For
Applied Regression Analysis and Other Multivariable Methods
ISBN: 978-1285051086
5th edition
Authors: David G. Kleinbaum, Lawrence L. Kupper, Azhar Nizam, Eli S. Rosenberg
Posted Date:
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