Given are five observations for two variables, x and y. 2 4 5 4 12 14 The estimated regression equation for these data is y = 0.6+ 2.6x. a. Compute SSE, SST, and SSR using the following equations (to 1 decimal). SSE = ( - 9.) Yi SST SSR – (. - 7) %3D SSE SST SSR b. Compute the coefficient of determination r (to 3 decimals). Does this least squares line provide a good fit? Select your answer c. Compute the sample correlation coefficient (to 4 decimals). 3. 00
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Please hand calculate as much as possible.
![Given are five observations for two variables, \( x \) and \( y \).
\[
\begin{array}{c|ccccc}
x_i & 1 & 2 & 3 & 4 & 5 \\
y_i & 4 & 6 & 6 & 12 & 14 \\
\end{array}
\]
The estimated regression equation for these data is \(\hat{y} = 0.6 + 2.6x\).
a. Compute SSE, SST, and SSR using the following equations (to 1 decimal):
\[
\text{SSE} = \sum (y_i - \hat{y}_i)^2
\]
\[
\text{SST} = \sum (y_i - \bar{y})^2
\]
\[
\text{SSR} = \sum (\hat{y}_i - \bar{y})^2
\]
- SSE:
- SST:
- SSR:
b. Compute the coefficient of determination \(r^2\) (to 3 decimals).
- Does this least squares line provide a good fit?
[Select your answer]
c. Compute the sample correlation coefficient (to 4 decimals).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa948a51-4d59-463f-9455-adc20c445c7e%2F55d48cd1-68d6-4d0d-a3f5-ee30764f1d6c%2F03gkij9_processed.jpeg&w=3840&q=75)
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