To find the correlation coefficient (r) for the given points, we first need to calculate the necessary sums: the sums of the x-values (Σx), y-values (Σy), their products (Σxy), the squares of x-values (Σx²), and the squares of y-values (Σy²). Then, we can use the formula for the correlation coefficient \( r = \frac{nΣxy - ΣxΣy}{\sqrt{(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)}} \), where n is the number of points. After performing the calculations, we find r ≈ 0.992, indicating a strong positive correlation in the data, suggesting that as the x-values increase, the y-values also increase significantly.
Find the correlation coefficient of the line of best fit for the points (- 3, - 40); (1, 12); (5, 72) and (7, 137) Explain how you got your answer. Use the coefficient to describe the correlation of this data. answer in three sentences
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