Question

Use the table to answer the question.

This table displays the relationship between two variables, x and y, showing the corresponding y-values for given x-values.
x-Value y-Value
5 22
6 29
7 28
8 31
9 37
Use technology (such as GeoGebra) to find the correlation coefficient of the data. Round your r-value to two decimal places, if necessary.

(1 point)
Responses

6.40
6.40

0.94
0.94

0.90
0.90

0.93
0.93

Answer 1

r ≈ 0.93

(Using x̄ = 7, ȳ = 29.4, sum[(x−x̄)(y−ȳ)] = 32, sqrt(sum(x−x̄)^2·sum(y−ȳ)^2) = sqrt(10·117.2) ≈ 34.234, so r = 32/34.234 ≈ 0.9347 → 0.93.)