Solve the problem.
-The sum of squares of residuals $\sum ( y - \hat { y } ) ^ { 2 }$ can be used to assess the quality of a regression model. A residual is the difference between an observed y value and the value of y predicted from the model, $\hat { y }$. The better the model, the smaller the sum of squares of residuals. For the data below find the sum of squares of residuals which results from fitting a linear model, and the sum of squares of residuals which results from fitting a power model. Which model fits better? How can you tell?
$$\begin{array} { c | c c c c c }
\mathrm { x } & 1 & 2 & 3 & 4 & 5 \
\hline \mathrm { y } & 3 & 9 & 17 & 30 & 40
\end{array}$$

Question

Solve the problem.
-The sum of squares of residuals $\sum ( y - \hat { y } ) ^ { 2 }$ can be used to assess the quality of a regression model. A residual is the difference between an observed y value and the value of y predicted from the model, $\hat { y }$. The better the model, the smaller the sum of squares of residuals. For the data below find the sum of squares of residuals which results from fitting a linear model, and the sum of squares of residuals which results from fitting a power model. Which model fits better? How can you tell?
$$\begin{array} { c | c c c c c } 
\mathrm { x } & 1 & 2 & 3 & 4 & 5 \
\hline \mathrm { y } & 3 & 9 & 17 & 30 & 40
\end{array}$$

Quizplus · Accepted Answer

The Answer of Solve the problem.
-The sum of squares of residuals $\sum ( y - \hat { y } ) ^ { 2 }$ can be used to assess the quality of a regression model. A residual is the difference between an observed y value and the value of y predicted from the model, $\hat { y }$. The better the model, the smaller the sum of squares of residuals. For the data below find the sum of squares of residuals which results from fitting a linear model, and the sum of squares of residuals which results from fitting a power model. Which model fits better? How can you tell?
$$\begin{array} { c | c c c c c } 
\mathrm { x } & 1 & 2 & 3 & 4 & 5 \
\hline \mathrm { y } & 3 & 9 & 17 & 30 & 40
\end{array}$$

Solve the Problem ∑(y−y^)2\sum ( y - \hat { y } ) ^ { 2 }∑(y−y^​)2

Solve the Problem $\sum ( y - \hat { y } ) ^ { 2 }$