Using the data-science-P1.mat to answer the questions. Please answer questions 1-9. Make sure to install packages R.matlab and scatterplot3d before trying to compile the file. Uning the dataset you have downloaded. Iet's reat the data wet liplo R. Notel make sure that yow install the parkages i. mat lab and ocanterpletse loelore torylet to compile the file and that you have domeloeledl the data met!8g prat ehe filivem of that fors matrie Neat, we will find the three hundred vourls will the highest averwer walore acrose trials (i.e. the 300 most active vowels for each of ther trials) frees CuRt and as jart of your write up. Also, submit a montterplot of the 659 mont merive veurl. poollines. 1ibtrary(ecettarplet3a) 3. Perfores I'CA on the daia. Heport the fraction of veriance eapternal by ther first jrincipal component. 4. Rxplain why there are only 359 primelyal componenis, eque though there are 21764 variables recordecl. 6. Make a 3-dimensioenal seatterplot of the M00 voxals with the 300 matt estrement loaslinge on the first grincipal cempoesent, whothar the hadinge are powithe ou ingalive. 7. Does yous scatterplot frome 6 matich your ecatterpiot frum 2P Britelly eaplaike whether they should or should not matel. 8. Make a scree plot and based on what you find, rejort the optimal mamber of priscipal components (if poseibler if not, explais ohy). 9. Phot the first principal componest with color indicating the lowhing for every rovel. Hinat: Use the cot (3) function and take the first I'C and coevert the colors into 10 bins. Fxplain what your 3D ohject looks like and he sure te attarlh thep ptot.