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Consider the following points below: (2,4),(6,8), (6,10), (2,6),(4,4),(10,8), (8, 12), (6,4), (14,8), (16, 12), (18.10), (14, 10). (20,20) Find the value of the correlation coefficient r.

User Ihammys
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Final answer:

To find the value of the correlation coefficient, use the formula involving the sums of the x and y values. The correlation coefficient ranges from -1 to 1, indicating the strength and direction of the linear relationship between the variables.

Step-by-step explanation:

The correlation coefficient, denoted as r, measures the strength and direction of the linear relationship between two variables. To find the value of the correlation coefficient, you can use the formula:

r = (Σ(xy) - (Σx)(Σy)/n) / sqrt((Σx^2 - (Σx)^2/n)(Σy^2 - (Σy)^2/n))

where Σ represents the sum, Σxy represents the sum of the product of x and y values, Σx represents the sum of x values, Σy represents the sum of y values, and n represents the number of data points.

By substituting the given values into the formula and performing the calculations, you can determine the value of the correlation coefficient r. Remember that the correlation coefficient ranges from -1 to 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

User Marcus Hughes
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