Given the table below, determine which type of equation best models the data and use a calculator to find an equation of best fit. 0.5 74 1 99 1.5 81 52 |2.5|1기 quadratic: y = -54.4x? + 136x + 8.5
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.
From the table, we see that y values were increasing at first then again decreasing. And forms the shape of a parabola.
So the best model will be of a quadratic form.
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