Final answer:
The correlation coefficient letting Row 1 represent the x-values and Row 2 the y-values is approximately 0.447.
Step-by-step explanation:
The correlation coefficient, r, measures the strength and direction of the linear association between two variables.
To calculate the correlation coefficient, you can use the formula:
r = [Σ((x - mean(x))(y - mean(y)))] / [√(Σ(x - mean(x))^2) * √(Σ(y - mean(y))^2)]
Using the provided data:
- Σx = 317
- Σy = 946
- Σ(x - mean(x))^2 = 2266
- Σ(y - mean(y))^2 = 63470
- Σ(x - mean(x))(y - mean(y)) = 7560
Substituting these values into the formula gives:
r = 7560 / (√(2266) * √(63470))
= 0.447
Therefore, the correlation coefficient r is approximately 0.447.