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Mathematics 21 Online
OpenStudy (anonymous):

Check? Please!

OpenStudy (anonymous):

Tori did a study on the relationship between students’ grade point averages and the number of hours of TV they watched per day. She found a negative correlation between the two variables. She drew a scatterplot with a line of best fit for her data. Which scatterplot did Tory most likely draw? D

OpenStudy (cherry17ann):

Just kidding sorry! Yes the answer is D! Negative is going down!

rishavraj (rishavraj):

@CrazyCountryGirl negative correlation... it suggests that the more a students watches tv the lesser grade he obtains...so u r correct

OpenStudy (anonymous):

Yay! :) Thanks!

rishavraj (rishavraj):

but what r those dots about???

OpenStudy (anonymous):

scatterplots are like that only

OpenStudy (mathmale):

CCG: Can you see any difference between options C and D? If they are different, which is the better choice and why?

OpenStudy (anonymous):

One line is diagonal and the other is horizontal

OpenStudy (anonymous):

xD

OpenStudy (mathmale):

Right, so which option is correct as the solution of this particular problem? Does the line in D have a particular name?

OpenStudy (anonymous):

IDK... I think its D though... @mathmale

OpenStudy (anonymous):

@mathmale

OpenStudy (mathmale):

That line is your "regression line." You will see that term tossed around a lot. The line is intended to represent a straight line approximation to the relationship between the independent and dependent variables. In both C and D you have a bunch of dots: a dot plot or a scatter diagram. The line is supposed to represent the possible linear relationship (as mentioned above). Which of the two lines seems to do this better, that in C or that in D?

OpenStudy (anonymous):

@mathmale D

OpenStudy (mathmale):

I agree. thanks for your patience here. I thought it really important to have a solid reason for choosing whichever option you thought was the correct answer. You've done fine. Note that the sloping line in D accurately represents the relationship of the data in your scatter plot, whereas the horiz. line in C definitely does not.

OpenStudy (anonymous):

Yay! Thanks @mathmale!!!

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