A group of 54 sixth-grade students measured their arm spans and their heights. Their data are shown in the scatter plot. Use the scatter plot to answer the following questions.
1.) Find a trend line to model the data and add it to the scatterplot.
2.) How might you use this line to describe the relationship between height and arm span? (Describe the general relationship then discuss the correlation between the two variables and any other relationships that you notice. I’m looking for more than one sentence.)
3.) Write an equation for this line using for height and for arm span. Show work.
4.) What estimate would you give for the arm span of a sixth-grade student whose height is 165 cm? Explain your reasoning.
5.) What is true about the relationship between height and arm span for the points on the line? What is true for the points above the line? For the points below the line?

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.  

place r′ so that qr′ is parallel to the tangent.

now we get that ∠r′py=∠pr′q, where y is on the tangent, on the opposite side of p from x.

also, because of the symmetry, ∠r′py=∠qpx.

finally, note that no matter where we place r, as long as it's on the correct arc, we have ∠prq=∠pr′q.

stringing all these equalities together, we end up with ∠prq=∠qpx.

this picture will show how its going to look like.

hope this by jack monhen