Skip to content

Fix reference formatting for SSR minimization explanation #2

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Open
Mutaz94 wants to merge 1 commit into
base: main
Choose a base branch
from
Open

Fix reference formatting for SSR minimization explanation #2

Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
2 changes: 1 addition & 1 deletion supplemental/slr-derivations.qmd
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -15,7 +15,7 @@ $$
SSR = \sum\limits_{i=1}^{n}[y_i - \hat{y}_i]^2 = [y_i - (\hat{\beta}_0 + \hat{\beta}_1 x_i)]^2 = [y_i - \hat{\beta}_0 - \hat{\beta}_1 x_i]^2
$$ {#eq-ssr}

Recall that we can find the values of $\hat{\beta}_1$ and $\hat{\beta}_0$ that minimize /eq-ssr by taking the partial derivatives of @eq-ssr and setting them to 0.
Recall that we can find the values of $\hat{\beta}_1$ and $\hat{\beta}_0$ that minimize @eq-ssr by taking the partial derivatives of @eq-ssr and setting them to 0.
Thus, the values of $\hat{\beta}_1$ and $\hat{\beta}_0$ that minimize the respective partial derivative also minimize the sum of squared residuals.
The partial derivatives are shown in @eq-par-deriv.

Expand Down