91Ó°ÊÓ

We are given a scatterplot and a point $P(20,24)$

We are asked what will be effect on correlation and slope of line if point $P$is removed.

We have an upward sloping regression line it means $0<r<1$

We know $r$is not going to be equal $0$as for this situation line would go perfectly through all of dots and it's clear that point right over here is indeed an outliner. The residual between point $P$and line is quite high, so it would be negative residual.

On removing point $P$value of correlation$\left(r\right)$will increase as we are removing point that was having negative residual.

And slope of line will decrease as line will move slightly clockwise due to removal of point $P$.

Hence, option localid="1650437721622" $\left(b\right)$is correct as it satisfies our explanation.