Question

Crown-Rump Length. In the article "The Human Vomeronasal Organ. Part II: Prenatal Development" (Joumal of Anatomy, Vol. 197, Issue 3, pp. 421-436), T. Smith and K. Bhatnagar examined the controversial issue of the human vomeronasal organ, regarding its structure, function, and identity. The following table shows the age of fetuses $\left(x\right)$, in weeks, and length of crown-rump $\left(y\right)$, in millimeters.

Short answer

The regression inference assumptions are graphically displayed in the diagram, and they appear to be met.

Step-by-step solution

Given Information

Given data:

Explanation

For satisfying regression inference assumptions $1-3$, constants localid="1652258901536">β0, ${\beta }_1$, and $\sigma$are used.

So, for each age of foetuses $\left(x\right)$in weeks and Crown rump lengths ($y$) in millimetres, all values are normally distributed with mean ${\beta }_0+{\beta }_{1}x$and standard deviation $\sigma$.

The graphs are displayed below: