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Multiple regression analysis is widely used in business
research in order to forecast and predict purposes. It is also used to
determine what independent variables have an influence on dependent
variables, such as sales.
Sales can be attributed to quality, customer service,
and location. In multiple regression analysis, we can determine which
independent variable contributes the most to sales; it could be quality
or customer service or location.
Now, consider the following scenario. You have been
assigned the task of creating a multiple regression equation of at least
three variables that explains Microsoft’s annual sales.
Use a time series of data of at least 10 years. You can search for this data using the Internet.
Before running the regression analysis , predict
what sign each variable will be and explain why you made that
prediction.
Run three simple linear regressions by considering one independent variable at a time
After running each of the three linear regressions, interpret the regression.
Does the regression fit the data well?
Run a multiple regression using all three independent variables.
Interpret the multiple regression. Does the regression fit the data well?
Does each predictor play a significant role in explaining the significance of the regression?
Are some predictors not useful?
If so, did you consider removing those and rerunning the regression?
Are the predictors related too significantly to
one another? What is the coefficient of correlation “r”? Do you
think this “r” value suggests a strong correlation among the
predictors ( the independent variables?