Show That If $Y = a X + b ( a \neq 0 ) \text {, then } \operatorname { Corr } ( X , Y ) = + 1 \text { or } - 1$

question 11

Essay

Show that if $Y = a X + b ( a \neq 0 ) \text {, then } \operatorname { Corr } ( X , Y ) = + 1 \text { or } - 1$ Under what conditions will $\rho = + 1 ?$

---

Definitions:

Dallas

A major city in the state of Texas, known for its historical significance in the oil and cotton industries and as the site of President John F. Kennedy's assassination in 1963.

Metacognition

The awareness and understanding of one's own thought processes, or thinking about thinking.

Working Memory

A cognitive system with a limited capacity that is responsible for temporarily holding information available for processing.

Long-Term Memory

The phase of memory responsible for storing information over extended periods, from days to decades.