The table below shows the data of the new type of virus disease (COVID-19) for last month in the Türkiye. i) Find a 2nd order polynomial equation (Ŷ = a0 + a1 x + a2 x2) that fits the number of cases against patients. ii) Then calculate the correlation coefficient. Using the parabola equation, find a regression curve for the number of patients recovering based on the number of cases. iii) Also, estimate how many years should it take for the number of cases to end
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 the data of the new type of virus disease (COVID-19) for last month in the Türkiye.
i) Find a 2nd order polynomial equation (Ŷ = a0 + a1 x + a2 x2) that fits the number of cases against patients.
ii) Then calculate the
iii) Also, estimate how many years should it take for the number of cases to end

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