A:True. The residuals are the observed y-values minus the y-values predicted by the linear model.
yes because each x value has exactly one corresponding y value
B. Yes, because the relative difference between y-values and x-values is the same no matter which pairs of (x, y) values you use to calculate it
This set of ordered pairs DOES represent a function.
yes, because every x value corresponds to exactly one y value
** a function cannot have repeating x values, they all have to be different. A function can have repeating y valuesjust not the x ones
Yes because the relative difference between y-values and x-values is the same no matter what which pairs of (x,y) values you use to calculate it
When considering a function, x-values have to be different, but y-values may all be the same or all different, but what does need to happen is that every x-value needs to correspond to one only y-value - this a consequence of having all x-values different.
Positive or negative values may be part of a function - it will depend on what the variables are to consider or not negative values.