A first-order model was used in a regression analysis involving 25 observations to study the relationship between a dependent variable y and three independent variables, $x _ { 1 }$ , $x _ { 2 }$ and $x _ { 3 }$ . The analysis showed that the mean squares for regression is 160 and the sum of squares for error is 1050. In addition, the following is a partial computer printout. $$\begin{array} { | c | c c | }
\hline \text { Predictor } & \text { Coef } & \text { StDev } \
\hline \text { Constant } & 25 & 4 \
x _ { 1 } & 18 & 6 \
x _ { 2 } & - 12 & 4.8 \
x _ { 3 } & 6 & 5 \
\hline
\end{array}$$ Is there sufficient evidence at the 5% significance level to indicate that $x _ { 3 }$ is positively linearly related to y?

Question

A first-order model was used in a regression analysis involving 25 observations to study the relationship between a dependent variable y and three independent variables, $x _ { 1 }$ , $x _ { 2 }$ and $x _ { 3 }$ . The analysis showed that the mean squares for regression is 160 and the sum of squares for error is 1050. In addition, the following is a partial computer printout. $$\begin{array} { | c | c c | } 
\hline \text { Predictor } & \text { Coef } & \text { StDev } \
\hline \text { Constant } & 25 & 4 \
x _ { 1 } & 18 & 6 \
x _ { 2 } & - 12 & 4.8 \
x _ { 3 } & 6 & 5 \
\hline
\end{array}$$ Is there sufficient evidence at the 5% significance level to indicate that $x _ { 3 }$ is positively linearly related to y?

Quizplus · Accepted Answer

The Answer of A first-order model was used in a regression analysis involving 25 observations to study the relationship between a dependent variable y and three independent variables, $x _ { 1 }$ , $x _ { 2 }$ and $x _ { 3 }$ . The analysis showed that the mean squares for regression is 160 and the sum of squares for error is 1050. In addition, the following is a partial computer printout. $$\begin{array} { | c | c c | } 
\hline \text { Predictor } & \text { Coef } & \text { StDev } \
\hline \text { Constant } & 25 & 4 \
x _ { 1 } & 18 & 6 \
x _ { 2 } & - 12 & 4.8 \
x _ { 3 } & 6 & 5 \
\hline
\end{array}$$ Is there sufficient evidence at the 5% significance level to indicate that $x _ { 3 }$ is positively linearly related to y?

A First-Order Model Was Used in a Regression Analysis Involving x1x _ { 1 }x1​

A First-Order Model Was Used in a Regression Analysis Involving $x _ { 1 }$