Check the following data then by using R programming language do the following:

We hypothesis that blood compression is different between male vs female (in the group that received placebo, i.e. Dosage = 0) and we hypothesis that blood compression is higher in the group receiving Dosage = 10 compared to the control (Dosage =0). Also, we hypothesis that blood compression is different between the different doses (ignoring the gender).

Q1)

Fit a linear regression to the data and interpret the regression coefficient (for the same hypotheses mentioned above) then calculate and interpret a 95% confidence interval of the regression slope, then estimate the average blood compression for patients that would receive 3mg/day of the medication.

\begin{tabular}{|l|l|l|l|} \hline 26 & 5 & 13 & 0 \\ \hline 27 & 5 & 7 & 0 \\ \hline 28 & 5 & 7 & 0 \\ \hline 29 & 5 & 9 & 1 \\ \hline 30 & 5 & 10 & 1 \\ \hline 31 & 10 & 24 & 0 \\ \hline 32 & 10 & 9 & 0 \\ \hline 33 & 10 & 15 & 0 \\ \hline 34 & 10 & 18 & 17 \\ \hline 35 & 10 & 17 & 1 \\ \hline 36 & 10 & 1 \\ \hline 39 & 10 & 26 & 1 \\ \hline 37 & 10 & 11 & \\ \hline \hline 8 & 10 & 17 & 10 \\ \hline \end{tabular}