Jeremy James
3/11/2019
What is asthma?
Several risk factors:
A look at asthma and smoking rates of census tracts in the CDC's 500 cities data:
A look at obesity and smoking rates of census tracts in the CDC's 500 cities data:
\[ y = \beta_0+ \beta_1x_1+ \beta_2x_2+ \beta_3x_1x_2+\epsilon \]
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 | Pr(>|t|)* | Significance |
|---|---|---|---|---|---|
| Intercept | 6.416 | 0.0736 | 87.136 | 0 | *** |
| Current Smoking | 0.107 | 0.0044 | 24.438 | 0 | *** |
| Obesity | -0.007 | 0.0027 | -2.527 | 0.0115 | * |
| Current Smoking:Obesity | 0.003 | 0.0001 | 22.327 | 0 | *** |
The Residual standard error: \( \sigma \) = 1.107
*approximately 0