Task:
Based on the findings of two random variables, find the linear regression of X on Y and the selective correlation coefficient.
Solution:
Let’s build a correlation field:
We can assume a linear relationship between these values.
Let’s construct a table of calculated data for the evaluation of the linear regression:
Let’s find the parameters of the linear regression:
Thus, the regression equation is:
We can make a conclusion that by increasing x value on 1, y will increase on 1,25.
Let’s find selective correlation coefficient:
The correlation coefficient is close to 1, so the relationship between the factors is strong.
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