Use technology (such as GeoGebra) to find the correlation coefficient of the data. Round your r-value to two decimal places, if necessary.
5 22
6 29
7 28
8 31
9 37
Which one is correct 0.93 0.90 6.40 0.94
To find the correlation coefficient of the data, we first need to calculate the mean of both sets of data (x and y), then calculate the differences from the mean for each set of data, multiply the differences together, and finally divide by the product of the standard deviations of x and y.
Calculations:
x = 6.67
y = 29.4
Differences from the mean:
x: -1.67, -0.67, 0.33, 1.33, 2.33
y: -7.4, -0.4, -1.4, 1.6, 7.6
Product of differences:
-12.38, 0.27, -0.46, 2.13, 17.77
Sum of product of differences = 6.33
Standard Deviation of x = 1.25
Standard Deviation of y = 4.55
Correlation Coefficient (r) = 6.33 / (5 * 1.25 * 4.55) = 0.88 (rounded to two decimal places)
Therefore, the correct correlation coefficient is 0.88. None of the options provided are correct.