Question

Use the following information to answer the next five exercises. A random sample of ten professional athletes produced the following data where $x$is the number of endorsements the player has and $y$is the amount of money made (in millions of dollars)

x	y	x	y
0	2	5	12
3	8	4	9
2	7	3	9
1	3	0	3
5	13	$4$	$10$

When$n=100$and $r=-0.89$, is there a significant correlation? Explain.

Short answer

When $n=100andr=-0.89$there will exist a strong correlation between the given data set.

Step-by-step solution

Step-1 Given Information

Given in the question that, a random sample of ten professional athletes produced the following data where$x$ is the the number of endorsements the player has and $y$ is the amount of money paid.

Step-2 Explanation

The data points are very large as$n=100$and$r=-0.89$, therefore it can be surely said that there exists a strong correlation between the given data set.