The table shows time series data for the population of two Ontario towns. a) Create a scatter plot of population of Collingwood versus population of Grimsby. Describe the correlation. b) Perform a linear regression. Interpret the equation of the line of best fit. c) Do you think this is a cause and effect relationship? Explain your thinking. d) What type of relationship do you think this is? Justify your answer with mathematical reasoning.
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 shows time series data for the
population of two Ontario towns.
a) Create a
of Collingwood versus population of
Grimsby. Describe the
b) Perform a linear regression. Interpret the
equation of the line of best fit.
c) Do you think this is a cause and effect
relationship? Explain your thinking.
d) What type of relationship do you
think this is? Justify your answer with
mathematical reasoning.
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