The number, in millions, of international tourists who visited the United States is given in the following table.† Date 2010 2011 2012 2013 Millions of tourists 59.74 62.33 66.66 69.77 (b) Find the equation of the regression line. (Let t be the number of years since 2010 and T the number of tourists, in millions. Round the regression line parameters to two decimal places.) T(t) =
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 number, in millions, of international tourists who visited the United States is given in the following table.†
| Date | 2010 | 2011 | 2012 | 2013 |
|---|---|---|---|---|
| Millions of tourists |
59.74 | 62.33 | 66.66 | 69.77 |
(b) Find the equation of the regression line. (Let t be the number of years since 2010 and T the number of tourists, in millions. Round the regression line parameters to two decimal places.)
(d) Express, using
Estimate that value. (The actual number was 74.73 million. Round your answer to two decimal places.)
million
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