OLS_VIZ

1) Choose a DGP and error model, then click Draw sample

1) DGP Setup

\( \beta_{0} \) intercept

\( \beta_{1} \)\(x\) \( \beta_{2} \)\(x^{2}\) \( \beta_{3} \)\(x^{3}\)

Display DGP function

2) Error Model

Error distribution

σ (std dev) 2.0

Observations (N) 40

Choose a DGP and error model, then click Draw sample

Residuals Histogram

MSE Surface

Two-sided tests for coefficients

PDF of coefficient estimates under the null is shown. Shaded areas in the tails represent the two-sided p-value.

3) Estimation

Polynomial order 1

Estimated Coefficients

Significance

Model Fit

TSS

Σ(yᵢ − ȳ)²

—

RSS

Σ(yᵢ − ŷᵢ)²

—

ESS

Σ(ŷᵢ − ȳ)²

—

R²

—

R² = 1 − RSS / TSS

—

SELECTED POINT

x—

y (actual)—

ŷ (fitted)—

ȳ (mean y)—

residual (y−ŷ)—

residual² → RSS↑—

(y−ȳ)² → TSS↑—

Overlay Options

Residual lines ȳ reference line Residual squares

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