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) = 3756.96, Ey, = 281.9, E(y, - y)? = 465.34, and Ex y, = 16,720. (a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.) (b) Test H: 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.) z = P-value = State the conclusion in the problem context. O Reject H.. 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. O 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.)
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) = 3756.96, Ey, = 281.9, E(y, - y)? = 465.34, and Ex y, = 16,720. (a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.) (b) Test H: 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.) z = P-value = State the conclusion in the problem context. O Reject H.. 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. O 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.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
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Concept explainers
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
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, E(x, - x) = 3756.96, Ey, = 281.9, E(y, - v) = 465.34, and Exy, = 16,720.
(a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.)
(b) Test H: 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.)
z =
P-value =
State the conclusion in the problem context.
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 H. There is no evidence that p < -0.5.
O Reject H.. 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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