Which line is a linear model for the data?

A.

B.

C.

D.

Question

Which line is a linear model for the data?
 
 A.
 
 
 B.
 
 
 C.
 
 
 D.

anonymous · Answer

A. https://static.k12.com/calms_media/media/1549000_1549500/1549101/1/0037c103917761efa2e0e1d78738c434b15250f5/MS_IMC-141014-108125.jpg

anonymous · Answer

B. https://static.k12.com/calms_media/media/1549000_1549500/1549102/1/8b7b4b5132b93301e1eb1a411fbaf4ab0e5a0abc/MS_IMC-141014-108126.jpg

anonymous · Answer

C. https://static.k12.com/calms_media/media/1549000_1549500/1549103/1/5d609051d99bf0ff2fdb6ae0aa939d26304455bd/MS_IMC-141014-108127.jpg

anonymous · Answer

D. https://static.k12.com/calms_media/media/1549000_1549500/1549104/1/b9ecda0aae1e1e57fd408f1e33080f711f626552/MS_IMC-141014-108128.jpg

whpalmer4 · Answer

which line do you think is a linear model for those points?

anonymous · Answer

B?

whpalmer4 · Answer

well, what about C and D, why not one of them?

anonymous · Answer

Idk this is confusing

whpalmer4 · Answer

I am not saying it is, I am just trying to get you to explain your thinking.

anonymous · Answer

Oh well my thinking is not working today haha

whpalmer4 · Answer

fair enough 😀

would you say the line in C and D represents a trend where the data values increase as you move to the right on the x-axis?

whpalmer4 · Answer

say yes 😀

if you agree that those lines have positive slope, do you also agree that the data tends to be going lower as you move to the right?

anonymous · Answer

No it's decreasing.

whpalmer4 · Answer

which is decreasing, the line or the data or both?

anonymous · Answer

The data

whpalmer4 · Answer

how about the line?

whpalmer4 · Answer

we want a line that follows the trend of the data.  the lines in C and D are increasing, while the data trend is decreasing. therefore, C and D are not good linear models.

but how to choose between A and B? both the data and the lines are increasing there.

anonymous · Answer

It's increasing

whpalmer4 · Answer

could you tell a complete idiot with no imagination how to decide which line better matches the data between A and B?

whpalmer4 · Answer

a line that follows the trend and goes along a path where about as much of the data is above the line as is below the line would be a pretty good model, don't you think?

anonymous · Answer

Sorry I had to help my mom with groceries, but I'm back.

whpalmer4 · Answer

ok, no problem....so, do you have an opinion on A vs B? do you agree with my suggestion?