Please use R programming to solve this problem

Please download the R data file "Questions.RData" from : https://drive.google.com/file/d/1oNenhD1ZmbgLdk4lOKY9Ew_q0uJ_sQyO/view?usp=sharing

Two sets of data are called linearly separable if there is a separating hyperplane that separates the two sets. KPCA is helpful in extracting features that may define a separating hyperplane. Consider the 300 3 matrix, the dataset "data1" in R data file "Questions.RData". The first two columns of the matrix store the observations of a bivariate variable, and the last column stores the group indicator, taking value 1 or 2.

In the data set "data1", there are two groups of points are separable using only 6 principal components.

Define Y = 1.558 0.049 V1 + 0.246 V2 0.025 V3 + 0.055 V4 0.167 V5 2.695 V6

Plot Y against the index. Add a horizontal dashed line at Y = 1.5. Are the two sets of points lie in different sides of the line?