A random sample of 15 college soccer players were selected to investigate the relationship between heart rate and maximal oxygen uptake. The heart rate and maximal oxygen uptake were recorded for each player during a training session. A regression analysis of the data was conducted, where heart rate is the explanatory variable and maximal oxygen uptake is the response variable. If a 95 percent confidence interval is constructed for the slope of the population regression line, which of the following is a condition that must be checked? A)The true relationship between heart rate and maximal oxygen uptake is linear. B)The correlation between heart rate and maximal oxygen uptake is not equal to zero. C)The confidence interval is not biased. D).The point (x_,y_) falls on the regression line. The X and Y have a line on top. E)The slope is not equal to zero.
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.
A random sample of 15 college soccer players were selected to investigate the relationship between heart rate and maximal oxygen uptake. The heart rate and maximal oxygen uptake were recorded for each player during a training session. A regression analysis of the data was conducted, where heart rate is the explanatory variable and maximal oxygen uptake is the response variable.
If a 95 percent confidence interval is constructed for the slope of the population regression line, which of the following is a condition that must be checked?
-
A)The true relationship between heart rate and maximal oxygen uptake is linear.
-
B)The
correlation between heart rate and maximal oxygen uptake is not equal to zero. -
C)The confidence interval is not biased.
-
D).The point (x_,y_) falls on the regression line. The X and Y have a line on top.
-
E)The slope is not equal to zero.
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