Final answer:
The correct match is c) No relationship - Correlation - Causation, as there is likely no connection between movies and the pharma industry, a probable correlation between fabric defects and quality checks, and a causal link between life expectancy and fatal illnesses.
Step-by-step explanation:
Match each description to the correct relationship between the variables:
- An increase in the number of movies produced in a year and the growth of the pharmaceutical industry.
- An increase in the number of defects on a bolt of fabric and a decrease in the number of quality checks.
- An increase in life expectancy and a decrease in fatal illnesses.
The correct match for each description based on the relationship between the variables is:
- No relationship - There is likely no relationship between the number of movies produced and the growth of the pharmaceutical industry.
- Correlation - There seems to be a correlation between the number of defects on fabric and the number of quality checks, as a decrease in checks might lead to an increase in defects.
- Causation - An increase in life expectancy can be causally related to a decrease in fatal illnesses.
Thus, the correct option is c) No relationship - Correlation - Causation.
Understanding the difference between correlation and causation is crucial in analyzing relationships between variables. For instance, a positive correlation is observed when both variables increase together, while a negative correlation is when one variable decreases as the other increases. But correlation does not imply causation. Without a controlled experiment, we cannot conclude that one variable causes the change in another.