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 ΔCBG = y, summary values are n = 26, Σxi = 1619, Σ(xi − x)2 = 3756.96, Σyi = 281.9, Σ(yi − y)2 = 465.34, and Σxiyi = 16,723.(a) Compute a 90% CI for the true correlation coefficient ?. (Round your answers to four decimal places.) , (b) Test H0: ? = −0.5 versus Ha: ? < −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.Reject H0. There is no evidence that ? < −0.5. Reject H0. There is evidence that ? < −0.5. Fail to reject H0. There is evidence that ? < −0.5. Fail to reject H0. There is no evidence that ? < −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 ΔCBG? (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; = 1619, E(x; -x)² = 3756.96, Ey; = 281.9, (y; - y)2 = 465.34, and Exy; = 16,723.(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 Reject Ho. There is 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.(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.)

Given Information: Sample size n=26 Σxi = 1619, Σyi = 281.9, Σxiyi = 16,723. SSxx=Σ(xi − x)2 =…

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 ΔCBG = y, summary values are n = 26, Σxi = 1619, Σ(xi − x)2 = 3756.96, Σyi = 281.9, Σ(yi − y)2 = 465.34, and Σxiyi = 16,723. (a) Compute a 90% CI for the true correlation coefficient ?. (Round your answers to four decimal places.) , (b) Test H0: ? = −0.5 versus Ha: ? < −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. Reject H0. There is no evidence that ? < −0.5. Reject H0. There is evidence that ? < −0.5. Fail to reject H0. There is evidence that ? < −0.5. Fail to reject H0. There is no evidence that ? < −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 ΔCBG? (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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Question

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 ΔCBG = y, summary values are n = 26, Σx_i = 1619, Σ(x_i − x)² = 3756.96, Σy_i = 281.9, Σ(y_i − y)² = 465.34, and Σx_iy_i = 16,723.

(a) Compute a 90% CI for the true correlation coefficient ?. (Round your answers to four decimal places.)

(b) Test H₀: ? = −0.5 versus H_a: ? < −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.

Reject H₀. There is no evidence that ? < −0.5. Reject H₀. There is evidence that ? < −0.5. Fail to reject H₀. There is evidence that ? < −0.5. Fail to reject H₀. There is no evidence that ? < −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 ΔCBG? (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; = 1619, E(x; -x)² = 3756.96, Ey; = 281.9, (y; - y)2 = 465.34, and Exy; = 16,723.
(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 Reject Ho. There is 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.
(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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