Positive correlation
If 2 Parameters are directly proportional (if one increases the other as well increases, if one parameter decreases the other as well decreases) then they are said to have a positive correlation.
Example
Savings Vs financial security
Overtime worked and extra income
Salary Vs work satisfaction
Increased moisture Vs crop production
Perfect positive correlation
Perfect positive correlation means that if the first variable moves by some x% then second variable also moves by same amount in the same direction. With the help of one variable we can predict the other variable.
Example
Length of the square to the perimeter of the square.
Radius of the circle to the perimeter of the circle.
Over time Hours to Over time Amount
Temperature to Pressure Co-relation
Negative correlation
If 2 Parameters are inversely proportional (if one parameter increases the other decrease or if one parameter decreases the other parameter increases) then they are said to have a negative correlation.
Examples
Colder the nights in winter and higher the energy bills(gas bill)
Higher transportation speed and decreased travel time
Increased exercise and fewer medical expenses
Higher loan payments and lower total interest amount owed
Increased absenteeism and lower overall income
Perfect Negative correlation
Perfect Negative correlation means that if the first variable moves by say x% then second variable must also move by the same amount in the opposite direction. Nothing more nothing less. With the help of one variable we can predict the other variable.
Examples
Air Lines Oil Price to Profit
Balls left in 50 Over Cricket Match
Could there be a situation where it is either -1 or +1 i.e. Perfect Correlation?
In theory Yes, its possible (see above examples). In practical its very rare, almost no as there will always be a measurement errors , Instruments uncertainty no matter how accurate your instrument is.
Example
if you find a perfect square, when you measure length of the square and measure all the lengths for calculating perimeter. You are measuring with say measurement tape there will be always be chance of a measurement error and instrument uncertainty.