(a) Use regression to find a quadratic function that models the data. Choose the correct answer below. Then graph the regression line and given data points. a) f(x)=0.055562x2 - 220.05x + 217,895 b) f(x)=0.086562x2 + 220.05x + 217,895 c) f(x)=0.086562x2 - 220.05x + 217,895 d) f(x)=0.055562x2 + 220.05x + 217,895 (b) Estimate the enrollment in 2007 and compare it to the actual value of 63 thousand. (Use part A to find the answer. Round to the nearest integer as needed) a) The estimated enrollment in 2007 is ____ thousand, which is ____ thousand higher than the actual value. b) The estimated enrollment in 2007 is the same as the actual value. c) The estimated enrollment in 2007 is ____ thousand, which is ___ thousand lower than the actual value.
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 lists a country's college and university enrollments in thousands to study a particular language.
| Year | 1980 | 1986 | 1995 | 2002 | 2009 |
| Enrollment | 20 | 26 | 36 | 43 | 70 |
(a) Use regression to find a quadratic
a) f(x)=0.055562x2 - 220.05x + 217,895
b) f(x)=0.086562x2 + 220.05x + 217,895
c) f(x)=0.086562x2 - 220.05x + 217,895
d) f(x)=0.055562x2 + 220.05x + 217,895
a) The estimated enrollment in 2007 is ____ thousand, which is ____ thousand higher than the actual value.
b) The estimated enrollment in 2007 is the same as the actual value.
c) The estimated enrollment in 2007 is ____ thousand, which is ___ thousand lower than the actual value.
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