The table below shows the number S, in millions, of subscribers to DirecTV t years after 1995. t = years since 1995 S = subscribers, in millions 0 1.20 4 6.68 7 11.18 9 13.00 16 19.89 19 20.35 (a) Find the equation of the regression line for S as a function of t. (Round regression line parameters to two decimal places.) S(t) = (b) What number does this equation give for DirecTV subscribers in 2013? (Round your answer to two decimal places. The actual number was 20.25 million.) million (c) Explain in practical terms the meaning of the slope of the line you found in part (a). (Round your answer to two decimal places.)
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.
Round all answers to two decimal places.
The table below shows the number S, in millions, of subscribers to DirecTV t years after 1995.
| t = years since 1995 | S = subscribers, in millions |
|---|---|
| 0 | 1.20 |
| 4 | 6.68 |
| 7 | 11.18 |
| 9 | 13.00 |
| 16 | 19.89 |
| 19 | 20.35 |
(b) What number does this equation give for DirecTV subscribers in 2013? (Round your answer to two decimal places. The actual number was 20.25 million.)
million
(c) Explain in practical terms the meaning of the slope of the line you found in part (a). (Round your answer to two decimal places.)
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