Model

Summary of the model:


Call:
lm(formula = Total ~ Year, data = co2_data)

Residuals:
   Min     1Q Median     3Q    Max 
  -175   -100    -44     14  36948 

Coefficients:
              Estimate Std. Error t value Pr(>|t|)    
(Intercept) -1.619e+03  7.873e+01  -20.56   <2e-16 ***
Year         8.879e-01  4.172e-02   21.28   <2e-16 ***
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 821.9 on 62902 degrees of freedom
  (200 observations deleted due to missingness)
Multiple R-squared:  0.007149,  Adjusted R-squared:  0.007134 
F-statistic: 452.9 on 1 and 62902 DF,  p-value: < 2.2e-16


The year the Earth’s atmosphere might not be able to bear the C02 emitted by centers like GPT-4:

[1] 2105


Summary table of the model:

Characteristic

Beta

95% CI

1

p-value

Year 0.89 0.81, 0.97 <0.001
1

CI = Confidence Interval


Formula: \[\begin{equation} \text{CO2\_Emissions} = \beta_0 + \beta_1 \times \text{Year} + \epsilon \end{equation}\]