In: Statistics and Probability
In the article “The human Vomeronasal Organ. Part II: Prenatal Development” (Journal 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 (x) in weeks and the length of crown-rump (y), in millimeters.
x | 10 | 10 | 13 | 13 | 18 | 19 | 19 | 23 | 25 | 28 |
y | 66 | 66 | 108 | 106 | 161 | 166 | 177 | 228 | 235 | 280 |
Give a point estimate of length of crown-rump in millimeter of an 18 weeks old fetus. Is this value the same as the observe value? What is the difference?
Find the 95% confidence interval for y when x = 18 (t.95= 2.05)
Calculate a 99% confidence interval of the slope of the actual population regression line (x-variable coefficient
Edit: Forgot to mark X and Y, apologies