Suppose you have a data set that includes the dates when students spent studying $($X$)$ and their corresponding exam scores $($Y$)$ for a sample of $10$ students: $|$ Date $|$ Hours Studied $($X$)|$ Exam Score $($Y$)||-----------|-------------------|-----------------||2023-01-05|4|65||2023-01-07|6|78||2023-01-09|8|89||2023-01-06|5|72||2023-01-08|7|82||2023-01-10|9|95||2023-01-04|3|60||2023-01-07|6|75||2023-01-11|10|92||2023-01-09|8|88|$Now$,$ using this data set, perform Simple Linear Regression and determine the regression equation. Once you have the regression equation, use it to predict the exam score for a student who studies for $11$ hours.