Question: A SAS correlation matrix is given below Pearson Correlation Coefficients, N = 15 Prob > [r] under HO: Rho=0 X1 X2 X3 X4 X5 X6

A SAS correlation matrix is given below Pearson Correlation Coefficients, N = 15 Prob > [r] under HO: Rho=0 X1 X2 X3 X4 X5 X6 X7 X1 1.00000 -0.50172 0.29117 0.03867 0. 17281 0.02105 0.23588 X1 0.0567 0.2924 0.8912 0.5380 0.9406 0.3974 X2 -0.50172 1.00000 -0.53781 0.31559 0.06840 -0.53248 -0.09740 X2 0.0567 0.0387 0.2519 0.8086 0.0410 0.7298 X3 0.29117 -0.53781 1.00000 -0.57799 -0.46602 0.23132 -0.04821 X3 0.2924 0.0387 0.0240 0.0800 0.4068 0.8645 X4 0.03867 0.31559 -0.57799 1.00000 0.96826 0.02043 0.11657 X4 0.8912 0.2519 0.0240 <.0001 0.9424 0.6791 X5 0. 17281 0.06840 -0.46602 0.96826 1.00000 0.16174 0.14821 X5 0.5380 0.8086 0.0800 <.0001 0.5647 0.5981 X6 0.02105 -0.53248 0.23132 0.02043 0.16174 1.00000 0.07773 X6 0.9406 0.0410 0.4068 0.9424 0.5647 0.7830 X7 0.23588 -0.09740 -0.04821 0. 11657 0. 14821 0.07773 1.00000 X7 0.3974 0.7298 0.8645 0.6791 0.5981 0.7830 At 5% level of significance, perform a test of a hypothesis to determine whether there is a significant correlation between X2 and X7

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