Today we started with reviewing our findings of yesterday’s Monty Hall problem. We found that in our datasets switching resulted in a win more often than staying. The reasoning was the chance of winning for staying was 1/total number of choices while switching was total number of choice – 1/ total number of choices.
Next we examined a problem about marshmallows introducing us to statistics. We had scenarios where they were different colors and sizes and were tasked with finding the proportions between color/size and the total population. Finally we were asked to find the total amount of marshmallows and found real world applications of this problem, for example estimating the number of a specific animal in their environment.
For the remainder of the day we will be examining the meaning of r^2 in statistics, fitting a linear regression in python, and proving R2(y~x1) + R2(y~x2) >= R2(y~x1+x2).