An international organization is investigating the relationship between the life expectancies of men and women in nonindustrialized countries. A random sample of such countries was selected, and life expectancies, in years, were determined for both men and women. A check of the conditions necessary for inference on the slope of a regression line shows that they are met. A 98 percent confidence interval for the slope of the regression line relating life expectancy for men, xx, and women, yy, is given by (1.01,1.34)(1.01,1.34). Based on the interval, which of the following claims is supported? A. Since the interval does not contain 0, it can be concluded that there is no linear relationship between the life expectancies of men and women in nonindustrialized countries. B. Since the interval does not contain 1, it can be concluded that there is no linear relationship between the life expectancies of men and women in nonindustrialized countries. C. Since the values in the interval are greater than 0, it can be concluded that the life expectancies of women are greater than the life expectancies of men in nonindustrialized countries. D. Since the values in the interval are positive, it can be concluded that there is an increase, on average, in the life expectancies of women for each 1-year increase in the life expectancy of men in nonindustrialized countries. E. Since the values in the interval are positive, it can be concluded that there is a decrease, on average, in the life expectancies of women for each 1-year increase in the life expectancy of men in nonindustrialized countries.
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.
An international organization is investigating the relationship between the life expectancies of men and women in nonindustrialized countries. A random sample of such countries was selected, and life expectancies, in years, were determined for both men and women. A check of the conditions necessary for inference on the slope of a regression line shows that they are met.
A 98 percent confidence interval for the slope of the regression line relating life expectancy for men, xx, and women, yy, is given by (1.01,1.34)(1.01,1.34). Based on the interval, which of the following claims is supported?
A. Since the interval does not contain 0, it can be concluded that there is no linear relationship between the life expectancies of men and women in nonindustrialized countries.
B. Since the interval does not contain 1, it can be concluded that there is no linear relationship between the life expectancies of men and women in nonindustrialized countries.
C. Since the values in the interval are greater than 0, it can be concluded that the life expectancies of women are greater than the life expectancies of men in nonindustrialized countries.
D. Since the values in the interval are positive, it can be concluded that there is an increase, on average, in the life expectancies of women for each 1-year increase in the life expectancy of men in nonindustrialized countries.
E. Since the values in the interval are positive, it can be concluded that there is a decrease, on average, in the life expectancies of women for each 1-year increase in the life expectancy of men in nonindustrialized countries.
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