Multiple linear regression is :

sample size n$=114000$

popularity $=3\mathrm{.}649$e$+01+8\mathrm{.}103$e$-07*$ duration$\_$ms $+2\mathrm{.}209$e$+00*$ danceability $-5\mathrm{.}609$e$+00*$ energy $-3\mathrm{.}734$e$+00*$ acousticness $-5\mathrm{.}007$e$-02*$ instrumentalness $-5\mathrm{.}007$e$-02*$ liveness $+9\mathrm{.}788$e$-03*$ tempo.

k$.$ What is the predicted popularity for a song with the following attributes. Solve using Rstudios.

duration$\_$ms $=205594\mathrm{.}00,$ danceability $=0\mathrm{.}44,$ energy $=0\mathrm{.}63,$ acousticness $=0\mathrm{.}43,$ instrumentalness $=0\mathrm{.}0042,$ liveness $=0\mathrm{.}07,$ tempo $=78\mathrm{.}90$

Report and interpret a $90\%$ prediction interval for the prediction in k$,$ using Rstudios.