correlation and Regression analysis produced these results Y = 3.5x + 76, n = 12, r = 0.86, mean of x's =45, and mean of y's = 68. The analysis is done at the 5% level of significance. 4. State the appropriate critical value you should use to test the significance of the correlation at the 5% level of significance. OPTIONS(0.832, 0.614,0.811, 0.672) 5.We conclude that the proportion of the variation in the dependent variable that is attributable to the independent variable is OPTONS: ( -0.72, 0.72, 0.52, 0) 6.The best predicted value for the dependent variable when the independent variable, x, has the value 2 is OPTIONS: (6.8, 6, 3.6,11.5)
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.
Y = 3.5x + 76, n = 12, r = 0.86,
4. State the appropriate critical value you should use to test the significance of the correlation at the 5% level of significance. OPTIONS(0.832, 0.614,0.811, 0.672)
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