Year 1950 1960 1970 1980 1997 1998 Size of Farm (acres) 213 297 374 426 436 435 Quadratic; 362 acres Linear; 641 acres Quadratic; 419 acres Linear; 413 acres
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 represents the size, in acres, the average farm. Choose which mathematical model below best fits the data. Using the model, predict the approximate size of the average farm in the year 2005!!!
![Year
1950 1960 1970 1980 1997 1998
Size of Farm
(acres)
213 297
374
426
436
435
Quadratic; 362 acres
Linear; 641 acres
Quadratic; 419 acres
Linear; 413 acres](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2f878192-c6f9-4f8b-a537-e3f2e9b069eb%2Fb4fc2a0c-e88f-4bc0-ace8-923ac8173db1%2F0hcyvqq_processed.jpeg&w=3840&q=75)
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