6. Discuss the difference between r and p.

Question

Accepted Answer

Hello there. Today we're going to solve the following practice problem together. So first off, let us read the problem and highlight all the key pieces of information that we need to use in order to solve this problem. Suppose a researcher collects data from a random sample of 60 students. And calculates a correlation coefficient of R equals 0.45 between study hours and exam scores. What does R represent in this context? Awesome. So it appears for this particular problem we're asked to determine what this value or variable are represents in the context of this particular problem, noting that this researcher is collecting data from a random sample of 60 students and they're calculating a correlation coefficient of. that is equal to 0.45, and this correlation is between study hours and exam scores. So based on this information, what does this variable R represent for the context of this problem? So now that we know what we're ultimately trying to solve for, let's read off our multiple choice answers to see what our final answer might be. A is the population correlation coefficient between study hours and exam scores. B is the sample correlation coefficient estimating the population correlation. C is the probability that a student will pass the exam and D is the mean difference between study hours and exam scores. Awesome. So our first step that we need to do like that we need to go along with in order to find this particular problem, or rather find the solution to this particular problem, is we need to note that the value R is equal to 0.45 is calculated from a sample of 60 students. So with that in mind, our second step now is we need to note that this variable R measures the strength and direction of the linear relationship in the sample. Let us note that for our 3rd step, this value of R is also used as an estimate. Or an estimate of the population correlation coefficient row. Awesome, so this Greek symbol row. So once again, let's quickly restate that, since this is very important. So R is also used as an estimate of the population correlation coefficient. So this population correlation coefficient, which is denoted as row. So you use R to help us to use that as an estimate for the population correlation coefficient. So that will mean that our fourth and final step, therefore, based on all the information we've acquired together, therefore, in this particular context, this variable R Is the sample correlation coefficient, which estimates the population correlation. Which will mean, based on that statement, our final answer without a doubt will have to be multiple choice answer letter B, which once again is the sample correlation coefficient estimating the population correlation. And that's it. That is our final answer. Thank you so much for watching. Hopefully that helped, and I can't wait to see you in the next video. Bye.

6. Discuss the difference between r and p.

Key Concepts

Correlation Coefficient (r)

p-value

Statistical Significance

Watch next