Assessing the goodness of fit of a regression line involves considering several things, and no single characteristic of data is sufficient for a good assessment. Consider the characteristics below. How does each contribute to an assessment of fit? That is, for each piece of information, what about it would indicate a "good" best-fit line?

a) The demonstration of seriously influential points.
b) The coefficient of determination.

Question

Assessing the goodness of fit of a regression line involves considering several things, and no single characteristic of data is sufficient for a good assessment. Consider the characteristics below. How does each contribute to an assessment of fit? That is, for each piece of information, what about it would indicate a "good" best-fit line? 

a) The demonstration of seriously influential points. 
b) The coefficient of determination.

tkhunny · Answer

Does "seriosly influential point" have a clear definition?

anonymous · Answer

Idk. this is all the info I have for the question. Im not sure how to even start.

tkhunny · Answer

That's not good.  Why are you asked to give an opinion of term and methods with which you are not familiar?  That makes no sense.  Have you been attending class?

An "influential point" is one that causes great impact when removed or included.  Run a regression with and without and see how it goes.

A "coefficient of determination" is the "how much are we explaining, here?" value.

anonymous · Answer

So the answer would be a seriously influential point will cause the line of best fit to be placed in a different place because a influential point may be moved or not there at all. The coefficient of determination analyzes the points and show many differences in one variable can be explained by a difference in a second variable? Right?

tkhunny · Answer

It's a little vague, but it may be good enough for one who isn't attending class.  ;-)