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Julia calculates the performance index using the indicators as building blocks. However, during the games, the performance index was computed based on other criteria. Test whether the multiple regression model is still significant for both the Red and Blue teams at a 1% level of significance. Note: The independent variables remain the seven indicators, but the dependent variable is now the performance index during the games.

Red team:

Blue team:

\begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|c|c|} \hline age & gender & height_cm & weigh (kg) & \begin{tabular}{c} Indicator \\ 1 \end{tabular} & \begin{tabular}{c} Indicator \\ 2 \end{tabular} & \begin{tabular}{c} Indicator \\ 3 \end{tabular} & \begin{tabular}{c} Indicator \\ 4 \end{tabular} & \begin{tabular}{c} Indicator \\ 5 \end{tabular} & \begin{tabular}{c} Indicator \\ 6 \end{tabular} & \begin{tabular}{c} Indicator \\ 7 \end{tabular} & Category & Performance Index & \begin{tabular}{l} Index during the \\ games \end{tabular} \\ \hline 59 & F & 158.6 & 72.5 & 8.26 & 7.21 & 4.57 & 1.81 & 1.81 & 3.24 & 4.27 & D & 4.24 & 4.66 \\ \hline 42 & F & 161.3 & 57.2 & 5.69 & 6.49 & 4.22 & 2.37 & 2.22 & 4.23 & 5.53 & A & 4.30 & 4.42 \\ \hline 52 & M & 168.4 & 67.6 & 3.22 & 7.66 & 6.81 & 6.07 & 2.19 & 9.15 & 7.56 & A & 6.19 & 4.01 \\ \hline 24 & F & 165.1 & 52.8 & 5.34 & 6.58 & 3.45 & 2.01 & 1.91 & 3.24 & 5.9 & C & 3.97 & 6.03 \\ \hline 64 & M & 165.6 & 66.94 & 3.18 & 6.67 & 6.12 & 4.71 & 1.15 & 3.94 & 5.49 & C & 4.50 & 3.65 \\ \hline 23 & F & 164 & 50.2 & 4.44 & 5.77 & 3.62 & 1.76 & 1.37 & 1.97 & 5.56 & D & 3.43 & 5.90 \\ \hline 25 & M & 180 & 78.9 & 3.25 & 8.02 & 2.84 & 6.96 & 1.98 & 8.87 & 8.98 & A & 5.91 & 4.44 \\ \hline 22 & F & 167 & 46.1 & 4.16 & 5.41 & 3.45 & 0.09 & 0.1 & 2.25 & 4.17 & D & 2.73 & 6.15 \\ \hline 50 & M & 166.7 & 65.7 & 2.27 & 5.86 & 4.14 & 5.05 & 1.82 & 7.32 & 6.92 & A & 4.85 & 5.81 \\ \hline 42 & M & 166.3 & 71.6 & 4.4 & 6.85 & 5 & 5.46 & 1.49 & 6.76 & 6.68 & B & 5.23 & 4.51 \\ \hline 22 & F & 160.1 & 58.7 & 3.33 & 5.77 & 3.36 & 2.7 & 2.12 & 7.32 & 6.71 & A & 4.49 & 5.56 \\ \hline 25 & M & 182.2 & 79.3 & 4.1 & 7.21 & 5.86 & 4.93 & 1.8 & 6.34 & 7.97 & C & 5.47 & 3.63 \\ \hline 30 & M & 170.1 & 69.6 & 4.29 & 5.32 & 4.4 & 4.79 & 1.1 & 6.34 & 8.71 & D & 4.97 & 6.33 \\ \hline 44 & F & 163.8 & 59.1 & 5.03 & 5.68 & 3.28 & 3.25 & 2.25 & 4.51 & 5.42 & A & 4.14 & 4.58 \\ \hline 26 & F & 167.1 & 59.2 & 4.23 & 3.96 & 1.38 & 3.85 & 2.25 & 5.63 & 6.1 & A & 3.87 & 4.31 \\ \hline 36 & M & 176.4 & 77.7 & 3.97 & 6.13 & 4.48 & 3.91 & 1.5 & 5.77 & 7.22 & C & 4.70 & 5.23 \\ \hline 20 & M & 169.9 & 69.2 & 2.42 & 5.86 & 4.57 & 4.95 & 2.09 & 8.31 & 8.34 & A & 5.30 & 4.79 \\ \hline 23 & F & 160.6 & 48.8 & 3.75 & 6.31 & 3.79 & 3.77 & 1.78 & 5.63 & 6.88 & B & 4.56 & 4.40 \\ \hline 31 & M & 178.9 & 63.2 & 0.98 & 6.58 & 4.74 & 1.85 & 1.47 & 6.62 & 7.22 & C & 4.33 & 6.26 \\ \hline 21 & M & 164.4 & 63.5 & 2.4 & 5.14 & 2.07 & 3.65 & 1.78 & 8.59 & 7.73 & B & 4.53 & 5.13 \\ \hline 57 & M & 172.8 & 59.8 & 3.62 & 4.95 & 2.24 & 3.67 & 1.37 & 4.51 & 5.8 & B & 3.71 & 6.18 \\ \hline 46 & F & 157.6 & 52.1 & 5.64 & 6.67 & 3.28 & 0.49 & 1.47 & 2.82 & 4.41 & C & 3.42 & 4.96 \\ \hline 25 & M & 170.3 & 72.3 & 2.57 & 6.49 & 4.57 & 8.22 & 1.1 & 6.06 & 7.76 & D & 5.33 & 5.98 \\ \hline 53 & F & 152.4 & 60.4 & 7.73 & 6.4 & 4.22 & 1.46 & 1.42 & 4.23 & 4.07 & D & 4.03 & 3.98 \\ \hline 28 & M & 166.2 & 63.2 & 2.98 & 6.4 & 4.05 & 6.29 & 1.65 & 6.62 & 8.17 & B & 5.22 & 5.63 \\ \hline 64 & M & 171.7 & 89.9 & 6.01 & 7.21 & 6.55 & 3.96 & 1.25 & 4.08 & 4.17 & D & 4.66 & 3.54 \\ \hline 24 & F & 160.5 & 55 & 5.34 & 6.85 & 4.57 & 1.91 & 1.96 & 7.32 & 6.51 & B & 4.87 & 5.66 \\ \hline 40 & F & 151.6 & 60.5 & 8 & 8.29 & 6.38 & 3.53 & 1.7 & 3.38 & 5.97 & D & 5.15 & 6.57 \\ \hline 46 & F & 171.9 & 61.2 & 3.59 & 7.12 & 5.78 & 2.58 & 1.74 & 4.93 & 6.34 & B & 4.60 & 3.83 \\ \hline 29 & F & 160.8 & 59.6 & 4.92 & 6.76 & 4.48 & 2.35 & 2.05 & 4.79 & 5.93 & A & 4.41 & 3.47 \\ \hline 56 & M & 166.2 & 58.8 & 2.7 & 6.13 & 5.34 & 5.44 & 1.84 & 7.61 & 7.53 & A & 5.31 & 5.60 \\ \hline 60 & F & 159.2 & 53.8 & 6.69 & 7.84 & 6.47 & 2.31 & 2.03 & 0.08 & 3.15 & D & 3.95 & 5.37 \\ \hline 49 & M & 170.9 & 68.2 & 4.16 & 6.22 & 5.95 & 6.06 & 1.21 & 6.76 & 6.61 & C & 5.30 & 5.68 \\ \hline 59 & M & 162 & 62.7 & 4.71 & 5.77 & 4.57 & 3.98 & 1.69 & 5.77 & 6.47 & A & 4.67 & 3.78 \\ \hline 46 & F & 175.8 & 69.9 & 6.71 & 5.32 & 3.45 & 1.32 & 0.76 & 0.09 & 3.76 & D & 2.86 & 4.11 \\ \hline 26 & M & 170.3 & 48.8 & 0.41 & 5.5 & 2.93 & 5.44 & 1.74 & 8.73 & 7.39 & A & 4.76 & 5.55 \\ \hline 24 & M & 183.5 & 79.2 & 3.53 & 7.48 & 6.03 & 4.46 & 1.81 & 8.31 & 8.14 & C & 5.73 & 5.12 \\ \hline 64 & F & 148.6 & 57.8 & 7.34 & 6.85 & 3.53 & 2.07 & 1.95 & 1.97 & 4.07 & B & 3.79 & 5.83 \\ \hline 21 & M & 171 & 67.7 & 1.72 & 6.67 & 3.71 & 6.51 & 1.76 & 9.58 & 9.02 & A & 5.69 & 4.08 \\ \hline 48 & M & 173.1 & 73.25 & 4.01 & 7.48 & 6.38 & 6.27 & 1.89 & 4.93 & 6.98 & C & 5.44 & 4.44 \\ \hline \end{tabular}

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