Snowpacks contain a wide spectrum of pollutants thatmay represent environmental hazards. The article“Atmospheric PAH Deposition: Deposition Velocitiesand Washout Ratios” (J. of EnvironmentalEngineering, 2002: 186–195) focused on the depositionof polyaromatic hydrocarbons. The authors proposeda multiple regression model for relating depositionover a specified time period (y, in mg/m2) to tworather complicated predictors x1 (mg-sec/m3) and x2 (mg/m2), defined in terms of PAH air concentrations forvarious species, total time, and total amount of precipitation.Here is data on the species fluoranthene andcorresponding Minitab output:obs x1 x2 flth1 92017 .0026900 278.782 51830 .0030000 124.533 17236 .0000196 22.654 15776 .0000360 28.685 33462 .0004960 32.666 243500 .0038900 604.707 67793 .0011200 27.698 23471 .0006400 14.189 13948 .0004850 20.6410 8824 .0003660 20.6011 7699 .0002290 16.6112 15791 .0014100 15.0813 10239 .0004100 18.0514 43835 .0000960 99.7115 49793 .0000896 58.9716 40656 .0026000 172.5817 50774 .0009530 44.25The regression equation isflth 5 233.5 1 0.00205 x1 1 29836 x2Predictor Coef SE Coef T PConstant 233.46 14.90 22.25 0.041x1 0.0020548 0.0002945 6.98 0.000x2 29836 13654 2.19 0.046S 5 44.28 R-Sq 5 92.3% R-Sq(adj) 5 91.2%Analysis of VarianceSource DF SS MS F PRegression 2 330989 165495 84.39 0.000Residual Error 14 27454 1961Total 16 358443Formulate questions and perform appropriate analyses todraw conclusions.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Snowpacks contain a wide spectrum of pollutants that
may represent environmental hazards. The article
“Atmospheric PAH Deposition: Deposition Velocities
and Washout Ratios” (J. of Environmental
Engineering, 2002: 186–195) focused on the deposition
of polyaromatic hydrocarbons. The authors proposed
a multiple regression model for relating deposition
over a specified time period (y, in mg/m2) to two
rather complicated predictors x1 (mg-sec/m3) and x2 (mg/
m2), defined in terms of PAH air concentrations for
various species, total time, and total amount of precipitation.
Here is data on the species fluoranthene and
corresponding Minitab output:obs x1 x2 flth
1 92017 .0026900 278.78
2 51830 .0030000 124.53
3 17236 .0000196 22.65
4 15776 .0000360 28.68
5 33462 .0004960 32.66
6 243500 .0038900 604.70
7 67793 .0011200 27.69
8 23471 .0006400 14.18
9 13948 .0004850 20.64
10 8824 .0003660 20.60
11 7699 .0002290 16.61
12 15791 .0014100 15.08
13 10239 .0004100 18.05
14 43835 .0000960 99.71
15 49793 .0000896 58.97
16 40656 .0026000 172.58
17 50774 .0009530 44.25
The regression equation is
flth 5 233.5 1 0.00205 x1 1 29836 x2
Predictor Coef SE Coef T P
Constant 233.46 14.90 22.25 0.041
x1 0.0020548 0.0002945 6.98 0.000
x2 29836 13654 2.19 0.046
S 5 44.28 R-Sq 5 92.3% R-Sq(adj) 5 91.2%
Analysis of Variance
Source DF SS MS F P
Regression 2 330989 165495 84.39 0.000
Residual Error 14 27454 1961
Total 16 358443
Formulate questions and perform appropriate analyses to
draw conclusions.
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