Using a calculator, the correlation coefficient is of 0.7649. Since the correlation is greater than 0.6, there is strong correlation.
<h3>What is a correlation coefficient?</h3>
- It is an index that measures correlation between two variables, assuming values between -1 and 1.
- If it is positive, the relation is positive, that is, they are direct proportional. If it is negative, they are inverse proportional.
- If the absolute value of the correlation coefficient is greater than 0.6, the relationship is strong.
Using a calculator, we insert the points (x,y) to find the coefficient. In this problem, the points are given as follows:
(1, 5), (4, 8), (8, 3), (13, 10), (19, 13)
The coefficient is of 0.7649. Since the correlation is greater than 0.6, there is strong correlation.
More can be learned about correlation coefficients at brainly.com/question/25815006
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G(f(2)) means work out whatever f(2) is then plug this into g(x).
So f(2) is 3 because we just find the x-value 2 in the left hand column and read across. This is 3.
So then we find g(3) by finding the x-value 3 in the left hand column and read across. This is 10.
So g(f(2)) = 10