Consider the following data for a dependent variable y and two independent variables, a1 and æ2; for these data SST = 15,114.5, and SSR = 13,940.7 30 12 95 46 11 109 24 17 113 51 16 178 41 94 52 20 175 74 170 36 12 117 60 13 142 76 17 212 Round your answers to three decimal places.

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Consider the following data for a dependent variable \( y \) and two independent variables, \( x_1 \) and \( x_2 \); for these data \( SST = 15,114.5 \), and \( SSR = 13,940.7 \).

\[
\begin{array}{ccc}
x_1 & x_2 & y \\
30 & 12 & 95 \\
46 & 11 & 109 \\
24 & 17 & 113 \\
51 & 16 & 178 \\
41 & 5 & 94 \\
52 & 20 & 175 \\
74 & 8 & 170 \\
36 & 12 & 117 \\
60 & 13 & 142 \\
76 & 17 & 212 \\
\end{array}
\]

Round your answers to three decimal places.

a. Compute \( R^2 \).

b. Compute \( R^2_a \).
Transcribed Image Text:Consider the following data for a dependent variable \( y \) and two independent variables, \( x_1 \) and \( x_2 \); for these data \( SST = 15,114.5 \), and \( SSR = 13,940.7 \). \[ \begin{array}{ccc} x_1 & x_2 & y \\ 30 & 12 & 95 \\ 46 & 11 & 109 \\ 24 & 17 & 113 \\ 51 & 16 & 178 \\ 41 & 5 & 94 \\ 52 & 20 & 175 \\ 74 & 8 & 170 \\ 36 & 12 & 117 \\ 60 & 13 & 142 \\ 76 & 17 & 212 \\ \end{array} \] Round your answers to three decimal places. a. Compute \( R^2 \). b. Compute \( R^2_a \).
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