10 mins: Definition of Correlation and its Properties
10 mins: Properties of Karl Pearson’s Coefficient of correlation coefficient
20 mins: Problem solving based on Karl pearson’s correlation coefficient
10 mins: Discussion and Summary
1. The tensile strength (MPa) and hardness (HB) of 8 metal specimens are measured as follows:
Strength: 580, 600, 590, 605, 620, 615, 630, 640
Hardness: 200, 210, 205, 215, 220, 218, 225, 230
Calculate the Pearson correlation coefficient and comment on the relationship.
2. The output power (kW) and fuel consumption (litres/hr) of 6 diesel engines are recorded:
Power: 150, 160, 170, 180, 190, 200
Fuel: 14, 15, 15.5, 16, 17, 18
Find the Pearson correlation coefficient and test its significance at the 5% level.