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 = 1618, (x,x)² =3756.96, y = 281.9, (y₁ -)²=465.34, and Ixy = 16,718. (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 Fail to reject Ho. There is evidence that p < -0.5. Fail to reject H. There is no evidence that p < -0.5. Reject Ho. There is no evidence that p < -0.5. 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 = 1618, (x,x)² =3756.96, y = 281.9, (y₁ -)²=465.34, and Ixy = 16,718. (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 Fail to reject Ho. There is evidence that p < -0.5. Fail to reject H. There is no evidence that p < -0.5. Reject Ho. There is no evidence that p < -0.5. 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
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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; = 1618, (x,x)² = 3756.96, Ey, = 281.9, (y;-)²: = 465.34, and
Ixy = = 16,718.
(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 Fail to reject Ho. There is evidence that p < -0.5.
Fail to reject Ho. There is no evidence that p < -0.5.
O Reject Ho. There is no evidence that p < -0.5.
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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