Aregression model relating x, number of salespersons at a branch office, to y, annual sales at the office (in thousands of dollars) provided the following computer output from a regression analysis of the data. Y=80+50x regression SS -6828.6 residual SS-2298.8 total SS-9127.4 a. Write the estimated regression equation. b. How many branch offices were involved in the study? c. Compute the F statistic and test the significance of the relationship at a .05 level of significance. d. Predict the annual sales at the Memphis branch office. This branch employs 12 salespersons.
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.
Aregression model relating x, number of salespersons at a branch office, to y, annual sales
at the office (in thousands of dollars) provided the following computer output from a
analysis
Y=80+50x
regression SS -6828.6
residual SS-2298.8
total SS-9127.4
a. Write the estimated regression equation.
b. How many branch offices were involved in the study?
c. Compute the F statistic and test the significance of the relationship at a .05 level of
significance.
d. Predict the annual sales at the Memphis branch office. This branch employs 12
salespersons.
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