Eamine the computation formula for r, the sample correlation cofficient. (a) in the formula for r, t we exchange the symbols xand y, do we get a ciferert result or do we get the same (equivalent) result? Eplain your answer. O The resut is different because the formula is dependent on the symbois. O The resut is dimferent because the formula is not dependent on the symbols. O The resut is the same because the formula is dependent on the symbois. • The resut is the same because the formula is not dependent on the symbols. (b) we have a set of x and y data values and we exchange comesponding x and y values to get a new data set, should the sample comrelation coefficient be the same for both sets of cata? Explain your answer O The resut is the same because the formula is dependent on which values are the x values and which values are the y values. O The resut is different because the formua is not dependent on which values are the x values and which values are the y values. • The resut is the same because the formula is not dependent on which values are the x values and which values are the y values. O The resut is different because the formua is dependent on which values are the x values and which values are the y values. (c) Compute the sampie comeiation coeficient rtor each of the following cata sets and show that ris the same for both. (Use 3 decimal places.)
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.
Step by step
Solved in 4 steps with 5 images