\multicolumn2|c[Regression Statistics Multiple R R Square Adjusted R Square 0.3744 0.1402 0.0802 Standard Error 5.5 Observations 47 ΑNOVA df SS MS F Significance F Regression 3 212 0.0869490 Residual 43 1300 Total 46 1512 Coefficients Standard Error t Stat | P-value Intercept 7.7 2.4 3.21 0.0025 xl -3.4 3.1 -1.1 0.2775 x2 8.1 3.2 2.53 0.0152 x3 6.5 2 3.25 0.0022 Suppose that the hypothesis test below is carried out: Ho : B1 = B2 = B3 = 0 H : At least one nonzero Find the test statistic and the corresponding p-value.
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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