You estimated the following regression. What value would you predict for Y, if X = 64? (Round your final answer to zero decimal places.) Source | SS df MS Number of obs = 363 -------------+---------------------------------- F(1, 361) > 99999.00 Model | 2.1565e+09 1 2.1565e+09 Prob > F = 0.0000 Residual | 5631120.97 361 15598.673 R-squared = 0.9974 -------------+---------------------------------- Adj R-squared = 0.9974 Total | 2.1622e+09 362 5972813.42 Root MSE = 124.89 ------------------------------------------------------------------------------ Y | Coef. Std. Err. t P>|t| [95% Conf. Interval] -------------+---------------------------------------------------------------- X | 44.52789 .1197563 371.82 0.000 44.29238 44.76339 _cons | 2.630796 11.46662 0.23 0.819 -19.91897 25.18056 ------------------------------------------------------------------------------
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.
You estimated the following regression. What value would you predict for Y, if X = 64? (Round your final answer to zero decimal places.)
Source | SS df MS Number of obs = 363
-------------+---------------------------------- F(1, 361) > 99999.00
Model | 2.1565e+09 1 2.1565e+09 Prob > F = 0.0000
Residual | 5631120.97 361 15598.673 R-squared = 0.9974
-------------+---------------------------------- Adj R-squared = 0.9974
Total | 2.1622e+09 362 5972813.42 Root MSE = 124.89
------------------------------------------------------------------------------
Y | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------+----------------------------------------------------------------
X | 44.52789 .1197563 371.82 0.000 44.29238 44.76339
_cons | 2.630796 11.46662 0.23 0.819 -19.91897 25.18056
------------------------------------------------------------------------------
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