The population of Botswana (in millions) for the years 1970 to 2020 is given in the table. Year 1970 1980 1990 2000 2010 2020 Population, P 0.628 0.898 1.287 1.643 1.987 2.254 (a) Make a scatter plot (population versus years) for the data. (b) Using the scatter plot determine the data trend and law of the curve of best fit for the data. (c) Use the least squares method find the curve of best fit for the data.
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 population of Botswana (in millions) for the years 1970
to 2020 is given in the table.
Year 1970 1980 1990 2000 2010 2020
Population, P 0.628 0.898 1.287 1.643 1.987 2.254
(a) Make a
(b) Using the scatter plot determine the data trend and law of the curve of
best fit for the data.
(c) Use the least squares method find the curve of best fit for the data.
(d) Hence estimate the population of Botswana in the year 2036
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