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Identifying and interpreting a linear correlation P-value using its definition

4/3/2020

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Intro

Howdy!  I'm Professor Curtis of Aspire Mountain Academy here with more statistics homework help.  Today we're going to learn how to identify and interpret a linear correlation P-value using its definition.  Here's our problem statement: For a data set of weights in pounds and highway fuel consumption amounts in miles per gallon of 10 types of automobile, the linear correlation coefficient is found, and the P-value is 0.004.  Write a statement that interprets the P-value and includes a conclusion about linear correlation.

Solution

OK, here, uh, the statement they want us to write is already mostly written.  We just have to fill in a few of the blanks.  The first part of the statement says, "The P-value indicates that the probability of a linear correlation coefficient that is at least extreme as something percent."  Well, this first part is the definition of the P-value itself.  And so when they give you the P-value and they're asking you for, again, the P-value, but here notice the percent sign.  They want you to take this decimal and convert it to a percent.

That's easy enough done.  Just move that decimal place over two places to the right.  So 0.004 becomes 0.4; this is a very low value.  And of course when the P-value is low, that indicates that there's statistical evidence for a linear correlation.  And that's really all there is to it.  Fantastic!

And that's how we do it at Aspire Mountain Academy.  Be sure to leave your comments below and let us know how good a job we did or how we can improve.  And if your stats teacher is boring or just doesn't want to help you learn stats, go to aspiremountainacademy.com, where you can learn more about accessing our lecture videos or provide feedback on what you'd like to see.  Thanks for watching!  We'll see you in the next video.
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    Frustrated with a particular MyStatLab/MyMathLab homework problem?  No worries!  I'm Professor Curtis, and I'm here to help.

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