Test Two Study Guide - Fall 2012 - Friday, November 16th
Find the best fitting (smallest "Sum of squares of deviations:") line f(x) = mx + b for the following two points using Data Flyer: -5 -1 <------ point a 0 3 <------ point b Now, REFRESH the Data Flyer application and try these three points: -5 -1 point a (same as before) 0 3 point b (same as before) -2.5 2 point c <----- ths new 3rd point Can you get the Sum of squares of deviations: 0.67 or less???? Note: It is helpful to click on "Light Grid Lines" When you get the 0.67 or less for the Sum of the squares of the deviations, after doing enough Change Function and Slider adjusting, you have discovered your best fitting function f(x) = mx + b, or y = mx + b What is m? What is b?
Or, I might give you the constants and ask you to tell me how many births there would be. For example: How many births would occur next if the population is 1000 and the fraaction female is 0.55 and the fraction of females that are biologically mature is 0.4 and the births per mature female per year is 0.33 (which means one birth every 3 years).
Netlogo TURTLES randomly scatter, then turn into either a COW or a HOUSE depending on whether they hit the BULLS EYE or missed the oval shaped bulls eye.
Know and understand the formula for coming up with a Monte Carlo estimated area when you know the proportion of or the actual count of "darts" that landed inside the area of interest.
Example: Look at the following diagram which shows a solid point for every dart that was thrown and where it hit inside the target area. The target area is the rectangle there you see that goes from x = 1 to x = 3 and from y = 4 to y = 8. (Note: for practical purposes, only 16 or 20 darts were thrown in the examples shown here). Calculate what the estimated area of the region above function g and below function h would be? (The area BETWEEN function g and function h). Please show your work and calculations. I need to see your process of arriving at the result. You will get partial credit if your equation is correct, but you just had a simple calculation, arithmetic error. You will NOT get full credit for just having the correct answer, so show the process for that reason too.