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, = 1615, E(x,x)2 = 3756.96, Ey, = 281.9, z(y,-)² = 465.34, and Ex,y,= 16,708. (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 H: 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.) 2 = 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 Reject Ho. There is evidence that p < -0.5. O Fail to reject Ho. There is no evidence that p < -0.5. (c) In a regression analysis of y on x, what proportion of variation in change I 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, = 1615, E(x,x)2 = 3756.96, Ey, = 281.9, z(y,-)² = 465.34, and Ex,y,= 16,708. (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 H: 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.) 2 = 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 Reject Ho. There is evidence that p < -0.5. O Fail to reject Ho. There is no evidence that p < -0.5. (c) In a regression analysis of y on x, what proportion of variation in change I 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, = 1615, (x,x)² = 3756.96, Ey; = 281.9,
[(y₁ - y)² = 465.34, and Ex,y; = 16,708.
(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 Reject Ho. There is evidence that p < -0.5.
O Fail to reject Ho. There is no 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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VIEWStep 3: Test the hypothesis at level 0.05 and state the conclusion
VIEWStep 4: Calculate the proportion of variation in change of CBG level that can be explained by variation
VIEWStep 5: Determine the proportion of variation in age is explainable by variation in ΔCBG
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