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, Ex, = 1613, E(x,x)² = 3756.96, Ey, = 281.9, Σ(y₁ - y)² = 465.34, and Exy,= 16,711. (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.) P-value= State the conclusion in the problem context. O Reject Ho. There is no evidence that p < -0.5. O Fail to reject Ho. There is evidence that p < -0.5. O Fail to reject Ho. There is no 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, Ex, = 1613, E(x,x)² = 3756.96, Ey, = 281.9, Σ(y₁ - y)² = 465.34, and Exy,= 16,711. (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.) P-value= State the conclusion in the problem context. O Reject Ho. There is no evidence that p < -0.5. O Fail to reject Ho. There is evidence that p < -0.5. O Fail to reject Ho. There is no 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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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, Ex; = 1613, Σ(x; − x)² = 3756.96, Ey, = 281.9,
Σ(y₁ - y)² = 465.34, and Ex,y; = 16,711.
(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.
O Reject Ho. There is no evidence that p < -0.5.
O Fail to reject Ho. There is evidence that p < -0.5.
O Fail to reject Ho. There is no 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.)
You may need to use the appropriate table in the Appendix of Tables to answer this question.
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