3)How Not To Be Wrong

By Jordan Ellenberg

Page 59-Page 104

The results of an experiment tend to settle down to a fixed average when the experiment is repeated again and again. For example, if you flip 10 coins together, and count how many heads there were, it will be like 4,4,5,6,5,4,3,3…, but if you flip a hundred coins, the number will be 46,48,48,51,50…, and when you flip a thousand coins, the number will be 486, 401,489, 472,510… The larger amount of coins you flip, the more likely that the number of heads will be 50% of the number of coins you flip.

How Not to be Wrong

by Jordan Ellenberg       to Page 59

The third chapter introduces linear regression, In statistics, linear regression is a linear approach to modeling the relationship between a scalar response and one or more explanatory variables. For example, research shows that if you can raise the average SAT score of your incoming first year by 50 points on average, you can charge $1400 more in tuition. This shows schools with a higher SAT score are likely to be pricier. But sometimes, it is not the case. That is when linear regression is used.