Jeremy James
3/11/2019
The University of Nebraska at Omaha
Department of Mathematics
What is asthma?
Several risk factors:
\[ y = \beta_0+ \beta_1x_1+ \beta_2x_2+ \beta_3x_1x_2+\epsilon \]
Where
\( \beta_0 \) is the intercept
\( x_1 \) is the smoking rate
\( x_2 \) is the obesity rate
\( x_1x_2 \) is the interaction term
\( y \) is the asthma rate
I assume \( \epsilon \sim N(0, \sigma^2) \)
| Coefficient | Estimate | Standard Error | t-value | p-value |
|---|---|---|---|---|
| Intercept | 6.416 | 0.0736 | 87.136 | < 0.001 |
| Current Smoking | 0.107 | 0.0044 | 24.438 | < 0.001 |
| Obesity | -0.007 | 0.0027 | -2.527 | 0.0115 |
| Current Smoking:Obesity | 0.003 | 0.0001 | 22.327 | < 0.001 |
The Residual standard error: \( \sigma \) = 1.107