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Chapter 4 Minitab Project Emissions by year in USA 1990-2008

I first created a scatterplot of the tons of carbon monoxide emissions as a function of the year. Below we see the scatterplot showing a strong negative linear correlation and as X increases, Y decreases.

I also calculated the correlation coefficient, r = -0.99.

The value of r in this exercise means that the results are consistent with the scatterplot that shows a strong negative linear relationship.

The Correlation between Year and Emissions (in tons) is: -0.99480526(<0.0001.)

After testing the significance of the correlation using α=0.05, and 0.0001 is less than 0.05, it shows that there is a significant correlation.

Even if we were to use α=0.01, 0.0001 is less than 0.01 which would show a significant correlation.

### Simple linear regression results:

Dependent Variable: Emissions (in tons)
Independent Variable: Year
Emissions (in tons) = 7708.7248 - 3.820614 Year
Sample size: 19
R (correlation coefficient) = -0.99480526
R-sq = 0.9896375
Estimate of error standard deviation: 2.2638119

### Parameter estimates:

ParameterEstimateStd. Err.AlternativeDFT-StatP-value
Intercept 7708.7248 189.54718 ≠ 0 17 40.669161 <0.0001
Slope -3.820614 0.094820646 ≠ 0 17 -40.29306 <0.0001

### Analysis of variance table for regression model:

SourceDFSSMSF-statP-value
Model 1 8320.3422 8320.3422 1623.5307 <0.0001
Error 17 87.122354 5.1248443
Total 18 8407.4646

According to my model, there will be 1.0 tons of carbon monoxide emitted from highway vehicles next year in 2020 and by 2021 no more carbon monoxide should be emitted from highway vehicles.

I dont think that this will happen so quickly because the alternative to fueling vehicles is to switch to an electrical vehicle, which are expensive and charging stations are not as accessible.

Result 1: Scatter Plot   [Info]

Data set 1. Emissions by Year from 1990-2008   [Info]