Is the line of best fit accurate for the data shown?
Yes, because it passes through the center of the data points Yes, because it touches the y-axis No, because the line does not touch any points No, because the line should touch every point

Question

Is the line of best fit accurate for the data shown?
Yes, because it passes through the center of the data points Yes, because it touches the y-axis No, because the line does not touch any points No, because the line should touch every point

anonymous · Answer

attachment

legends · Answer

Well we know its not accurate because none of the points are touching now I think its C but not 100% sure

anonymous · Answer

I would say A, because it does pass through the middle of all the points

anonymous · Answer

It doesn't have to touch a point

legends · Answer

Thats true ok but I thought the points need to be touching the line?

tkhunny · Answer

One at a time...

Yes, because it passes through the center of the data points

-----All lines of "Best Fit" based on least squares loss pass through the center (or average of x and of y separately.)

Yes, because it touches the y-axis

-----Only a vertical line wouldn't.

No, because the line does not touch any points

-----Not uncommon.

No, because the line should touch every point 

-----Ridiculous.  It is quite unusual for that to occur.

??  Silly question.  The "Best Fit" is the best fit based on the least squares loss function.  What does "accurate" even mean?

legends · Answer

So your saying its A?

anonymous · Answer

Yes, it does not have to touch a point, at all, it just has to be closest to all of the points at the same time =)

legends · Answer

Just go with a @im_chasing_dragons

legends · Answer

You there?

tkhunny · Answer

Let's try this again...

Yes, because it passes through the center of the data points

-----There are infinitely many such lines.

Yes, because it touches the y-axis

-----There are infinitely many such lines

No, because the line does not touch any points

-----There are infinitely many such lines.

You can't pick anything that cannot distinguish itself.  It can't be "A" "B" or "C" and it already can't be "D".  You should fight this question.  It is very, very bad.

anonymous · Answer

LOL, yea i would fight it also, but it's flvs right?

tkhunny · Answer

Thank you, Country.  I have to agree.  The answer key THINKS one is the right answer.  You would do well to pick it, I suppose.