The table below shows enrollment,† in millions of people, in private colleges in the United States during the years from 2004 through 2008. date enrollment in millions 2004 4.29 2005 4.47 2006 4.58 2007 4.76 2008 5.13 (a) Find the equation of the regression line model for college enrollment as a function of time. (Let t be the number of years since 2004 and E the enrollment in private colleges, in millions. Round regression line parameters to two decimal places.) E(t)= Add the graph of the regression line to the data plot. (b) Explain the meaning of the slope of the line you found in part (a). The slope of the regression line is ?.... , and this means that every year the enrollment in American private colleges increased by about ?.... million. (c) Express, using functional notation, the enrollment in American private colleges in 2013. E ...? ( ) Estimate that value. (Round your answer to two decimal places.) ?.... million (d) Enrollment in American private colleges in 2013 was 5.74 million. Does it appear that the trend established in the mid-2000s was valid in 2013? 1. It appears that the trend in the mid-2000s was possibly valid in 2013. 2. It appears that the trend in the mid-2000s was not valid in 2013.
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 table below shows enrollment,† in millions of people, in private colleges in the United States during the years from 2004 through 2008.
| date | enrollment in millions |
| 2004 | 4.29 |
| 2005 | 4.47 |
| 2006 | 4.58 |
| 2007 | 4.76 |
| 2008 | 5.13 |
(a) Find the equation of the regression line model for college enrollment as a
Add the graph of the regression line to the data plot.
(b) Explain the meaning of the slope of the line you found in part (a).
(c) Express, using functional notation, the enrollment in American private colleges in 2013.
| ( ) |
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