McDonalds Corporation has reported the following values for total revenues and net income during the 1998 to 2005 period. All data (in photo attached) are in billions of dollars: Source: McDonalds Corporation, 2005 Annual Report. (a) Determine the least-squares regression equation line for estimating net income and interpret its slope. (b) For a year in which total revenues are $18.0 billion, estimate the net income for that year. (c) Also find a 95% Confidence and Prediction Interval for the above estimate. (d) Find the sample correlation coefficient for the model.
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.
McDonalds Corporation has reported the following values for total revenues and net income during the 1998 to 2005 period. All data (in photo attached) are in billions of dollars: Source: McDonalds Corporation, 2005 Annual Report.
(a) Determine the least-squares regression equation line for estimating net income and interpret its slope.
(b) For a year in which total revenues are $18.0 billion, estimate the net income for that year.
(c) Also find a 95% Confidence and Prediction Interval for the above estimate.
(d) Find the sample
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