Question

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.

Short answer

The p-value between brain volume and IQ is 0.839, which indicates a chance of 83.9% to get a sample correlation coefficient at least equivalent to the computed value, assuming that there is no linear correlation between the variables brain volume and IQ score.

Thus, it can be concluded that there is no linear correlation between brain volume and IQ score.

Step-by-step solution

Given information

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

Interpret p-value

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.

State the conclusion

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.