The table below shows the values of y for different values of x:x5 7 9 10 11 12 13y 3 0 −1 −6 3 8 −4The correlation coefficient for the data is 0.0715. Which statement is true about the data in the table? There is a strong positive relationship between x and y. There is almost no relationship between x and y. There is a strong negative relationship between x and y. There is a weak negative relationship between x and y.
Accepted Solution
A:
Answer: there is almost no relationship between x and y.
Explanation:
The coefficient r tells how well the data fix into the model chosen.
A value r = 1 indicates a perfect positive linear relation.
A value r = - 1 indicates a perfect negative linear relation.
Intermediates values may be interpreted more or less in this way:
1) 0.7 < |r| < 0.7 => strong relation between the variables
2) |r| ≈ 0.5 moderate relation between the variables