The following table gives the sales of CD_Rom drives and compact disk players for selected years and can be found in Glassman. Sales are in millions. Year 1988 1990 1992 1993 Sales 0.075 0.24 1.5 4.8 A. On the basis of this data, find the best-fitting exponential regression. Let x = 0 correspond to 1988. State the square of the correlation coefficient. (Use 4 decimal places in you answers.) S(x) = r2 = B. Use this model the estimate the sales in 1997.
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.
The following table gives the sales of CD_Rom drives and compact disk players for selected years and can be found in Glassman. Sales are in millions.
| Year | 1988 | 1990 | 1992 | 1993 |
| Sales | 0.075 | 0.24 | 1.5 | 4.8 |
A. On the basis of this data, find the best-fitting exponential regression. Let x = 0 correspond to 1988. State the square of the
S(x) =
r2 =
B. Use this model the estimate the sales in 1997. (Round to the nearest player.)
In 1997, there were about
million CD_ROM and compact disk players sold.
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