Need help with this Statistics problem. Please provide a detailed solution

2. For data {(xi,yi]: i=1,2,...,25} we have: 1?:le = 70.25, 2'33le = 421.8125, Efflxiyi = 5260, 2:131,- = 1005, 21?;in = 70925 Using the above information, answer the following questions. Show your work / justify your answer in the space below. (Please give answers to 3 decimal places). a] The sample correlation for the data {[xi, yi): i=1,2,...,25} is For parts b] and c) of this question, consider the following: Now, suppose that all of the y-values were multiplied by 0.5. b] The sample variance for the new y-values would be c) The new sample correlation would be Based on the original set of [x,y] dam, answer the following two questions either True or False [DO NOT write T or F. Please clearly write True or False in the blanks below]. You do not need to show work here. d] The R command var[sort[x]]could be used to calculate the sample variance of the data X = {leXZ:---;X25}- e] Using R, the commands cor(x, y] and cor(y,x) would return the same result