In: Advanced Math
Provide an example of a study when extrapolation would definitely lead to incorrect results. Explain your reasoning.
An example of a study when extrapolation would definitely lead to incorrect results :
Consider the Regression Line giving the marks scored in the examination (y) as a function of the number of hours per day a student spends on studies (x).
We know by common sense, there is a direct positive linear relationship giving the marks scored in the examination (y) as a function of the number of hours per day a student spends on studies.for a specific interval of study per day.
But, if we extrapolate much beyond the given extent of study per day, we find that the positive direct relationship between the marks scored in the examination (y) and the the number of hours per day a student spends on studies.(x) is not at all valid. There is a limit in our brain on the number of hours of concentration. If the student exerts too much beyond his capability, he will definitely be confused and he may even fail in the examination.