P-Values In Exercises 13–16, write a statement that interprets the P-value and includes a conclusion about linear correlation.

Using the data from Exercise 5 “Brain Volume and IQ,” the P-value is 0.839.

The p-value of the linear correlation between brain volume and IQ score is equal to 0.839.

The p-value of the linear correlation is the probability value of obtaining the computed value of at least as extreme as runder the supposition that there is no actual correlation between the two variables.

Interpretation of the value:

• A p-value less than or equal to 0.05 indicates that there is sufficient evidence to conclude a linear correlation exists between the two variables.
• A p-value greater than 0.05 indicates that there is insufficient evidence to conclude a linear correlation exists between the two variables.

The p-value for the correlation between brain volume and IQ score is equal to 0.839, which is greater than 0.05.

Therefore, it can be concluded that there is insufficient evidence to conclude that there exists a linear correlation between brain volume and IQ score.