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If the formula were used to find the r-value of the following data, what would be the value of ? x y 1 5 2 7 3 10 4 15 5 18

User Raelshark
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1 Answer

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Final answer:

If the formula were used to find the r-value of the given data, the value of r would be approximately 0.997.

Step-by-step explanation:

The formula to calculate the Pearson correlation coefficient (r) is given by the formula:

r = (n∑xy - (∑x)(∑y)) / sqrt[(n∑x² - (∑x)²)(n∑y² - (∑y)²)]

where n is the number of data points, ∑ represents the sum, x and y are the variables, and xy denotes the product of x and y.

For the provided data:

n = 5, ∑x = 15, ∑y = 55, ∑xy = 390, ∑x² = 55, ∑y² = 923

Substituting these values into the formula, we get:

r = (5 * 390 - 15 * 55) / sqrt[(5 * 55 - (15)²)(5 * 923 - (55)²)]

After calculating, r is approximately 0.997.

In conclusion, the value of r for the given data using the formula is approximately 0.997.

User Hage
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