Question

Use a graphing calculator to find the value of the correlation coefficient r and determine

if there is a strong correlation among the data.
(1, 5), (4, 8), (8, 3), (13, 10), (19, 13)

Answer 1

3.216

steps

.

I found the average of the x numbers. This is like finding the middle of those numbers. The average x was 9.

3. I found the average of the y numbers. This is like finding the middle. The average y was 7.8.

4. I looked at how far each x number was from the average x.

5. I looked at how far each y number was from the average y.

6. I multiplied the x difference with the y difference for each pair of numbers.

7. I added all those multiplied numbers together. I got -41.36.

8. I divided that total by 4. That gave me -10.34.

9. I took the square root of -10.34. That gave me -3.216.

10. The correlation coefficient r is -3.216.

11. Since r is a large negative number, it means x and y have a strong opposite relationship. When x goes up, y goes down.

claudeAI