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Please help me with this problem urgently. Please provide the solution both mathematically and in R code

3.21 The data in Table 3.8 consist of head measurements on first and second sons (Frets 1921). Define yi and y2 as the measurements on the first son and xi and 2 for the second son. (a) Find the mean vector for all four variables and partition it into ( as in (3.41). (b) Find the covariance matrix for all four variables and partition it into as in (3.42) (3.42) (3.41) T1 Show transcribed image text (a) Find the mean vector for all four variables and partition it into as in (3.41) (b) Find the covariance matrix for all four variables and partition it into yx TC as in (3.42)Table 3.8 Measurements on the First and Second Adult Sons in a Sample of 25 Families First Son Second Son Head Head Length, Breadth, Length, Breadth, Head Head y2 C2 191 195 181 183 176 208 189 197 188 192 179 183 174 190 188 163 195 186 181 175 192 174 176 197 190 155 149 148 153 144 157 150 159 152 150 158 147 150 159 145 152 149 149 142 152 149 152 159 151 148 147 152 157 158 130 158 148 146 137 152 147 143 158 150 179 201 185 188 192 190 189 197 187 186 174 185 195 187 161 183 173 182 165 185 178 137 155 153 145 140 154 143 139 167 163 200 187

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Answer #1

Solulion 185 72 2 | こい52.20 183. 88 149.24 2 5 2丿 Su 72 574 2 5 n-1 S 리 369-67 2 339 778 339 778 377 476

coding

v=[ y1 y2 x1 x2]    # enter data in matrix form
m= mean(v)
V1=[ y x]   # enter y1 and y2 in one column and x in one coulmn
CV= cov(v1)   # finds covariance of matrix v1

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