X y 6. For this problem, use a linear regression model. 2 12 a) Use the correlation formula to the right to calculate the correlation R r = 5 11 n- 8 14 SSR SE 11 17 Coefficient of Deternination R2 EST =1 ST SST 14 16 b) Find R^2 using SSR/SST (y- y)? Sum of Squares Total - SST= 17 20 19 24 SSR = >0 -7) Sum of Squares Regression+ 20 22 SSE = >0-y) Sum of Squares Error 25 27 c) Find the slope using the formula to the right ---> Slope a= intercept b=y-ax where overbar denotes average d) Verify your answers to parts a,b,c using another method of your choice - e). Find the residual for x = 14
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.
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