A student named Karen using some data has performed a multiple linear regression $($see below$).$ Her biological goal is to find contribution of physical$/$chemical characteristics of some molecules on hepatotoxicity. She used MATLAB routine fitlm$0$ as shown below. Answer the questions based on MATLAB output given below. Consider a statistical significance level of $0\mathrm{.}05$ for this problem.

Questions

Which variable represents hepatotoxicity?

What are the predictors used in the model? What is the response

Is the resulting regression model significant? How have you decided?

Describe the null hypothesis, which the $p-$value for number of $H-$bond acceptors $($nHBAcc$)$ corresponds to$.$ Do you reject the null hypothesis? Justify your answer.

Which predictors appear to have a statistically significant relationship to the response? Justify your answer.

Suppose that you are asked to remove one of the predictors from the model and reconstruct the model. Which one would you remove and why?

MATLAB output$331\mathrm{.}29223168\mathrm{.}1354\mathrm{.}6240\mathrm{.}26113106\mathrm{.}5355\mathrm{.}8435\mathrm{.}48183153\mathrm{.}3378\mathrm{.}17315\mathrm{.}33113136\mathrm{.}99464\mathrm{.}54345\mathrm{.}36113146\mathrm{.}22464\mathrm{.}47$

$mdl=$

Linear regression model:

plC$501+$ MolWeight $+$ nAtomP $+$ TopoPSA$\_1+$ nHBDon $+$ nHBAcc

Estimated Coefficients:

Number of observations: $50,$ Error degrees of freedom: $44$

Root Mean Squared Error: $1\mathrm{.}01$

R$-$squared: $0\mathrm{.}539,$ Adjusted R$-$Squared: $0\mathrm{.}487$

F$-$statistic vs$,$ constant model: $10\mathrm{.}3,p-$value $=1\mathrm{.}39e-06$