MATH SOLVE

3 months ago

Q:
# 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

3) |r| ≈ 0.3 poor relation between the variables

4) |r| ≈ 0 non-relation between the variables.

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

3) |r| ≈ 0.3 poor relation between the variables

4) |r| ≈ 0 non-relation between the variables.