A real-life example of three events A, B, and C where A and B are correlated, B and C are correlated, but A and C are uncorrelated could be:
A: Ice cream sales B: Temperature C: Energy consumption for air conditioning
Let's break this down:
A and B correlation:
Ice cream sales (A) and temperature (B) are positively correlated. As temperature rises, people tend to buy more ice cream.
B and C correlation:
Temperature (B) and energy consumption for air conditioning (C) are positively correlated. As temperature increases, people use more air conditioning, leading to higher energy consumption.
A and C uncorrelated:
Ice cream sales (A) and energy consumption for air conditioning (C) are not directly correlated. While both increase with temperature, there's no direct causal relationship between them.