12. List the regression equation for the output presented below. If someone has scores of 7 on X and 15 on Z, then Y' = Is the regression of Y on X and Z significant (i.e., is R² in the population greater than zero)? Cite statistics to support your answer. R Square Adjusted R Square Std. Error of the Estimate Model 85763 1 .445 198 .148 Sum of Model Mean Square Squares Regression 6.200 df Sig. 1 2 3.100 4.215 .023 Residual 25.744 35 .736 Total 31.944 37 Unstandardized Coefficients Standardized Coefficients Model B Std. Error Beta Sig. 1 (Constant) 2.911 581 5.010 .000 .075 .041 307 1.840 .044 -.080 .062 -213 -1.278 209 X N
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.
12. The regression equation for the output presented is as follows:
The value of when X=7 and Z=15 is obtained as below:
Thus, the value of when X=7 and Z=15 is 6.9610
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