Serena says that if a regression line is drawn correctly in a scatterplot, there will always be the same number of points above the line as there are below the line. which of these must be a counterexample to her claim?
scatterplot with an odd number of points in which the correct regression line passes directly through 0 of the points

scatterplot with an even number of points in which the correct regression line passes directly through 0 of the points
a scatterplot with an odd number of points in which the correct regression line passes directly through 1 of the points

a scatterplot with an even number of points in which the correct regression line passes directly through 2 of the points

A) a scatterplot with an odd number of points in which the correct regression line passes directly through 0 of the points.

Think about it, if there is an odd number, and the line touches none of them, then there must be at least one more point on one side of the line than there is on the other side.

a

Step-by-step explanation:

i took the test :

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4