I am a young Statistics graduate. A few days ago as an interview question, I have been asked to evaluate the predictive power of a Signal time series (supposedly output by an Artificial Intelligence system) in predicting a stock price time series and I was provided with a sample data set as follows:
and so on for some few weeks. No further information have been provided.
I then pointed out that without knowing the analytical formula of the function employed to predict the stock price from the Signal value
Pred(Signal) = Stock Price Prediction
it was not possible (at least for what I know) to calculate any prediction error and thus to evaluate the prediction power of Signal.
The reply from the interviewer was that the problem is solvable as it is.
FIRST Question: how could one evaluate the predictive power of Signal given only the data above?
As a further question from the interviewer I was asked to "review the quality of the data, list any potential errors, and propose corrected values. Please list each quality check error and correction applied."
Really I had no idea how to proceed in answering this Second Question. SECOND Question Anyone has any pointers on any possible data quality procedure that I could have applied?
Thank you for your kind suggestions.