Shown below is a portion of a computer output for a regression analysis relating x (independent variable) and y (dependent variable). $$\begin{array}{l}
\text { ANOVA }\
\begin{array} { l c l }
& d f & S S \
\text { Regression } & 1 & 115.064 \
\text { Residual } & 13 & 82.936 \
\text { Total } & & \
& \text { Coefficients } & \text { Standard Error } \
\text { Intercept } & 15.532 & 1.457 \
\mathrm { x } & - 1.106 & 0.261
\end{array}
\end{array}$$
a.
Perform a t test using the p-value approach and determine whether or not x and y are related. Let α = .05.
b.
Using the p-value approach, perform an F test and determine whether or not x and y are related. Let α = .05.
c.
Compute the coefficient of determination and interpret its meaning. Be very specific.

Question

Shown below is a portion of a computer output for a regression analysis relating x (independent variable) and y (dependent variable). $$\begin{array}{l}
\text { ANOVA }\
\begin{array} { l c l } 
& d f & S S \
\text { Regression } & 1 & 115.064 \
\text { Residual } & 13 & 82.936 \
\text { Total } & & \
& \text { Coefficients } & \text { Standard Error } \
\text { Intercept } & 15.532 & 1.457 \
\mathrm { x } & - 1.106 & 0.261
\end{array}
\end{array}$$ ​ 
a.
Perform a t test using the p-value approach and determine whether or not x and y are related. Let α = .05.
b.
Using the p-value approach, perform an F test and determine whether or not x and y are related. Let α = .05.
c.
Compute the coefficient of determination and interpret its meaning. Be very specific.

Quizplus · Accepted Answer

The Answer of Shown below is a portion of a computer output for a regression analysis relating x (independent variable) and y (dependent variable). $$\begin{array}{l}
\text { ANOVA }\
\begin{array} { l c l } 
& d f & S S \
\text { Regression } & 1 & 115.064 \
\text { Residual } & 13 & 82.936 \
\text { Total } & & \
& \text { Coefficients } & \text { Standard Error } \
\text { Intercept } & 15.532 & 1.457 \
\mathrm { x } & - 1.106 & 0.261
\end{array}
\end{array}$$ ​ 
a.
Perform a t test using the p-value approach and determine whether or not x and y are related. Let α = .05.
b.
Using the p-value approach, perform an F test and determine whether or not x and y are related. Let α = .05.
c.
Compute the coefficient of determination and interpret its meaning. Be very specific.

Shown Below Is a Portion of a Computer Output for a Regression